Decks in this Class (169):

An Introduction To Thinkwell Calculus 111
An Introduction to Thinkwell Calculus (1.1.1)
Sample Cards:thinkwell calculus is designed to mak...,the lecture environment is partitione...2 CardsPreview Flashcards 
The Two Questions Of Calculus 112
The Two Questions of Calculus (1.1.2)
Sample Cards:use calculus to find instantaneous rates,average rate of change r d t2 CardsPreview Flashcards 
Average Rates Of Change 113
Average Rates of Change (1.1.3)
Sample Cards:a change in one variable is often ind...,since division by 0 is undefined you ...2 CardsPreview Flashcards 
How To Do Math 114
How to Do Math (1.1.4)
Sample Cards:practicing math problems is the best way1 CardsPreview Flashcards 
Functions 121
Functions (1.2.1)
Sample Cards:a function pairs one object with another,a function can be represented by an e...,you can evaluate a function for an ex...3 CardsPreview Flashcards 
Graphing Lines 122
Graphing Lines (1.2.2)
Sample Cards:a graph is a way of illustrating a se...,the slope intercept form y mx b and t...,when writing the equation of a line t...3 CardsPreview Flashcards 
Parabolas 123
Parabolas (1.2.3)
Sample Cards:the graph of a second degree polynomi...,when graphing functions start by looking,the distance formula is an applicatio...3 CardsPreview Flashcards 
Some Non Euclidean Geometry 124
Some NonEuclidean Geometry (1.2.4)
Sample Cards:no notes1 CardsPreview Flashcards 
Finding Rate Of Change Over An Interval 2
Finding Rate of Change over an Interval (2.1.1)
Sample Cards:the position function relates time an...,when solving a difficult problem it is a2 CardsPreview Flashcards 
Finding Limits Graphically 212
Finding Limits Graphically (2.1.2)
Sample Cards:in algebra you consider how a functio...,the limit is the range value that a f...2 CardsPreview Flashcards 
The Formal Definition Of A Limit 213
The Formal Definition of a Limit (2.1.3)
Sample Cards:the concept of a limit can be express...,formal definition of a limit let f be...2 CardsPreview Flashcards 
The Limit Laws Part I 214
The Limit Laws, Part I (2.1.4)
Sample Cards:since limits are just numbers a lot o...1 CardsPreview Flashcards 
The Limit Laws Part Ii 215
The Limit Laws, Part II (2.1.5)
Sample Cards:it is sometimes useful to examine limits,a limit exists only if the left hande...2 CardsPreview Flashcards 
One Sided Limits 216
OneSided Limits (2.1.6)
Sample Cards:use the definition of the limit of a ...,understand and apply the limit law fo...,understand and apply limit laws for r...3 CardsPreview Flashcards 
The Squeeze Theorem 217
The Squeeze Theorem (2.1.7)
Sample Cards:approximate the limit of a function at a,visualize the squeeze theorem graphic...,find the exact limit of a function at...3 CardsPreview Flashcards 
Continuity And Discontinuity 218
Continuity and Discontinuity (2.1.8)
Sample Cards:a function is continuous at a point i...,three conditions must be met for a fu...2 CardsPreview Flashcards 
Evaluating Limits 221
Evaluating Limits (2.2.1)
Sample Cards:the limit of a function is the range ...,to evaluate a limit at a value where ...,limits that produce indeterminate for...3 CardsPreview Flashcards 
Limits And Intermediate Forms 222
Limits and Intermediate Forms (2.2.2)
Sample Cards:to evaluate a limit at a value where ...,limits that produce indeterminate for...,if direct substitution produces zero ...3 CardsPreview Flashcards 
Two Techniques For Evaluating Limits 223
Two Techniques for Evaluating Limits (2.2.3)
Sample Cards:when evaluating the limit of a compou...,an expression involving a binomial ca...2 CardsPreview Flashcards 
On Overview Of Limits 224
On Overview of Limits (2.2.4)
Sample Cards:the limit is the range value that a f...,an indeterminate form is a mathematic...2 CardsPreview Flashcards 
Rates Of Change Secants And Tangents 311
Rates of Change, Secants, and Tangents (3.1.1)
Sample Cards:approximate the instantaneous rate of...,represent the average rate of change ...,represent the instantaneous rate of c...4 CardsPreview Flashcards 
Finding Instantaneous Velocity 312
Finding Instantaneous Velocity (3.1.2)
Sample Cards:the average rate of change is equal t...,by examining the average rate of chan...,to find the instantaneous rate take t...4 CardsPreview Flashcards 
The Derivative 313
The Derivative (3.1.3)
Sample Cards:what are tangent lines graphic repres...,how do you find the slope of a tangen...,what is the derivative function3 CardsPreview Flashcards 
Differentiability 314
Differentiability (3.1.4)
Sample Cards:why may the derivative of a function ...,if a function is differentiable then ...2 CardsPreview Flashcards 
The Slope Of A Tangent Line 321
The Slope of a Tangent Line (3.2.1)
Sample Cards:how do you find the slope of a tangen...,the derivative of f at x is given by see2 CardsPreview Flashcards 
Instantaneous Rate 322
Instantaneous Rate (3.2.2)
Sample Cards:how do you find the velocity of an ob...,the derivative of f at x is given by see2 CardsPreview Flashcards 
The Equation Of A Tangent Line 323
The Equation of a Tangent Line (3.2.3)
Sample Cards:to find the equation of a line tangen...,to find where the line tangent to a c...2 CardsPreview Flashcards 
More On Instantaneous Rate 324
More on Instantaneous Rate (3.2.4)
Sample Cards:how do you find the time when an obje...,how do you find the time when an obje...2 CardsPreview Flashcards 
The Derivative Of The Reciprocal Function
The Derivative of the Reciprocal Function (3.3.1)
Sample Cards:the derivative of f x x 1 is f x x 2,to find the equation of a line tangen...2 CardsPreview Flashcards 
The Derivative Of The Square Root Functio
The Derivative of the Square Root Function (3.3.2)
Sample Cards:the derivative of f x sqrt x is f x 1...,to find the instantaneous rate of change,to find the time when an object is mo...3 CardsPreview Flashcards 
A Shortcut For Finding Derivatives 411
A Shortcut for Finding Derivatives (4.1.1)
Sample Cards:what is the shortcut that the power rule,what does the power rule state2 CardsPreview Flashcards 
A Quick Proof Of The Power Rule 412
A Quick Proof of the Power Rule (4.1.2)
Sample Cards:in math it is not enough to find patt...,the power rule states that if n is a ...2 CardsPreview Flashcards 
Uses Of The Power Rule 413
Uses of the Power Rule (4.1.3)
Sample Cards:the power rule states that if n is a ...,given a differentiable function f and...,given two differentiable functions f and3 CardsPreview Flashcards 
The Product Rule 421
The Product Rule (4.2.1)
Sample Cards:the derivative of a product of two fu...,what does the product rule state2 CardsPreview Flashcards 
The Quotient Rule 422
The Quotient Rule (4.2.2)
Sample Cards:similar to the product rule the deriv...,what does the quotient rule state2 CardsPreview Flashcards 
An Introduction To The Chain Rule 431
An Introduction to the Chain Rule (4.3.1)
Sample Cards:a composite function is made up of la...,the chain rule states that if f x g h...2 CardsPreview Flashcards 
Using The Chain Rule 432
Using the Chain Rule (4.3.2)
Sample Cards:the chain rule states that if f x g h...,some functions are actually combinations2 CardsPreview Flashcards 
Combining Computational Techniques 433
Combining Computational Techniques (4.3.3)
Sample Cards:what does the chain rule state,why must multiple computational techn...2 CardsPreview Flashcards 
A Review Of Trigonometry 511
A Review of Trigonometry (5.1.1)
Sample Cards:what does the pythagorean theorem relate,what is the pythagorean identity2 CardsPreview Flashcards 
Graphic Trigonometric Functions 512
Graphic Trigonometric Functions (5.1.2)
Sample Cards:what can angles be measured in and which,how do you convert from radians to de...,the graphs of the trigonometric funct...3 CardsPreview Flashcards 
The Derivatives Of Trigonometric Function
The Derivatives of Trigonometric Functions (5.1.3)
Sample Cards:f x sin x f x cos x if f x cos x f x,use the derivatives of sine and cosin...2 CardsPreview Flashcards 
The Number Pi 514
The Number Pi (5.1.4)
Sample Cards:pi can be defined as the circumferenc...,the area of a circle can be approximated,trigonometric functions often involve...3 CardsPreview Flashcards 
Graphing Exponential Functions 521
Graphing Exponential Functions (5.2.1)
Sample Cards:an exponential function has the variable,an exponential function cannot have a...2 CardsPreview Flashcards 
Derivatives Of Exponential Functions 522
Derivatives of Exponential Functions (5.2.2)
Sample Cards:studying the slopes of tangent lines ...,how do you find the derivative of an ...2 CardsPreview Flashcards 
Evaluating Logarithmic Functions 531
Evaluating Logarithmic Functions (5.3.1)
Sample Cards:remember the change of base theorem l...,a logarithm indicates the exponent to...,logs to the base 10 are written witho...3 CardsPreview Flashcards 
The Derivative Of The Natural Log Functio
The Derivative of the Natural Log Function (5.3.2)
Sample Cards:the derivative of the natural exponen...,the natural exponential function can ...2 CardsPreview Flashcards 
Using The Derivative Rules With Transcend
Using the Derivative Rules with Transcendental Functions (5.3.3)
Sample Cards:some functions are combinations of other,what are the derivatives of the trans...2 CardsPreview Flashcards 
An Introduction To Implicit Differentiati
An Introduction to Implicit Differentiation (6.1.1)
Sample Cards:the definition of the derivative empo...,leibniz notation is another way of wr...2 CardsPreview Flashcards 
Finding The Derivative Implicitly 612
Finding the Derivative Implicitly (6.1.2)
Sample Cards:leibniz notation is another way of wr...,implicit differentiation uses the cha...2 CardsPreview Flashcards 
Using Implicit Differentiation 621
Using Implicit Differentiation (6.2.1)
Sample Cards:find the derivative of a relation by ...1 CardsPreview Flashcards 
Applying Implicit Differentiation 622
Applying Implicit Differentiation (6.2.2)
Sample Cards:what is implicit differentiation,how do you find the equation of a lin...2 CardsPreview Flashcards 
The Exponential And Natural Log Functions
The Exponential and Natural Log Functions (6.3.1)
Sample Cards:what is the exponential function,what is the natural log function,the exponential and natural log funct...3 CardsPreview Flashcards 
Differentiating Logarithmic Functions 632
Differentiating Logarithmic Functions (6.3.2)
Sample Cards:find the derivative of a general loga...,differentiate composite functions inv...,differentiate other complicated funct...3 CardsPreview Flashcards 
Logarithmic Differentiation 633
Logarithmic Differentiation (6.3.3)
Sample Cards:understand that the power rule of dif...,take the natural log of both sides of an,apply logarithmic differentiation to ...3 CardsPreview Flashcards 
The Basics Of Inverse Functions 634
The Basics of Inverse Functions (6.3.4)
Sample Cards:what do inverse functions do to each ...,what two things switch roles in an in...,functions that are not one to one do not3 CardsPreview Flashcards 
Finding The Inverse Of A Function 635
Finding the Inverse of a Function (6.3.5)
Sample Cards:to determine the inverse of a functio...,verify the inverse by composing it wi...2 CardsPreview Flashcards 
Derivatives Of Inverse Functions 641
Derivatives of Inverse Functions (6.4.1)
Sample Cards:you can calculate the derivative of a...1 CardsPreview Flashcards 
The Inverse Sine Cosine And Tangent Funct
The Inverse Sine, Cosine, and Tangent Functions (6.5.1)
Sample Cards:what is the only way that allows stan...,how can you dictate inverse trigonome...2 CardsPreview Flashcards 
The Inverse Secant Cosecant And Cotangent
The Inverse Secant, Cosecant, and Cotangent Functions (6.5.2)
Sample Cards:the standard trigonometric functions ...1 CardsPreview Flashcards 
Evaluating Inverse Trigonometric Function
Evaluating Inverse Trigonometric Functions (6.5.3)
Sample Cards:to evaluate inverse trigonometric exp...,an inverse trig function will not rev...2 CardsPreview Flashcards 
Derivatives Of Inverse Trigonometric Func
Derivatives of Inverse Trigonometric Functions (6.6.1)
Sample Cards:how do you find the derivative of an ...1 CardsPreview Flashcards 
Defining The Hyperbolic Functions 671
Defining the Hyperbolic Functions (6.7.1)
Sample Cards:hanging cables are called catenary cu...,there are six hyperbolic functions wi...2 CardsPreview Flashcards 
Hyperbolic Identities 672
Hyperbolic Identities (6.7.2)
Sample Cards:when verifying a hyperbolic identity use,the hyperbolic identities mirror many of,the hyperbolic functions are derived ...3 CardsPreview Flashcards 
Derivatives Of Hyperbolic Functions 673
Derivatives of Hyperbolic Functions (6.7.3)
Sample Cards:how do you differentiate hyperbolic f...,what do the derivatives of the hyperb...2 CardsPreview Flashcards 
Acceleration And The Derivative 711
Acceleration and the Derivative (7.1.1)
Sample Cards:velocity is the rate of change of pos...,tangent lines can be used to approximate2 CardsPreview Flashcards 
Solving Word Problems Involving Distance
Solving Word Problems Involving Distance and Velocity (7.1.2)
Sample Cards:by collecting and analyzing physical ...,for an object to attain a maximum pos...,acceleration measures the rate of change3 CardsPreview Flashcards 
High Order Derivatives And Linear Approxi
HighOrder Derivatives and Linear Approximation (7.2.1)
Sample Cards:you can find successive derivatives of a,derivatives can allow you to find a l...2 CardsPreview Flashcards 
Using The Tangent Line Approximation Form
Using the Tangent Line Approximation Formula (7.2.2)
Sample Cards:what is the tangent line approximatio...1 CardsPreview Flashcards 
Newton S Method 723
Newton's Method (7.2.3)
Sample Cards:newton s method iterates the approxim...1 CardsPreview Flashcards 
The Connection Between Slope And Optimiza
The Connection between Slope and Optimization (7.3.1)
Sample Cards:on an interval the sign of the deriva...,values that make the derivative of a ...2 CardsPreview Flashcards 
The Fence Problem 732
The Fence Problem (7.3.2)
Sample Cards:values that make the derivative of a ...,the fence problem involves maximizing...2 CardsPreview Flashcards 
The Box Problem 733
The Box Problem (7.3.3)
Sample Cards:what is the box problem1 CardsPreview Flashcards 
The Can Problem 734
The Can Problem (7.3.4)
Sample Cards:values that make the derivative of a ...,the can problem involves maximizing t...2 CardsPreview Flashcards 
The Wire Cutting Problem 735
The WireCutting Problem (7.3.5)
Sample Cards:values that make the derivative of a ...,what is the wire cutting problem,for a given perimeter a circle enclos...3 CardsPreview Flashcards 
The Pebble Problem 741
The Pebble Problem (7.4.1)
Sample Cards:related rate problems involve using a...,the three steps to problem solving ar...2 CardsPreview Flashcards 
The Ladder Problem 742
The Ladder Problem (7.4.2)
Sample Cards:related rate problems involve using a...,use implicit differentiation when you...2 CardsPreview Flashcards 
The Baseball Problem 743
The Baseball Problem (7.4.3)
Sample Cards:related rate problems involve using a...,use implicit differentiation when you...,a negative value for the derivative m...3 CardsPreview Flashcards 
The Blimp Problem 744
The Blimp Problem (7.4.4)
Sample Cards:related rate problems involve using a...,use implicit differentiation when you...2 CardsPreview Flashcards 
Math Anxiety 745
Math Anxiety (7.4.5)
Sample Cards:no notes1 CardsPreview Flashcards 
An Introduction To Curve Sketching 811
An Introduction to Curve Sketching (8.1.1)
Sample Cards:applications of the derivative includ...,the techniques used in algebra for gr...2 CardsPreview Flashcards 
Three Big Theorems 812
Three Big Theorems (8.1.2)
Sample Cards:the intermediate value theorem if f i...,rolle s theorem if f is continuous on...,the mean value theorem if f is contin...3 CardsPreview Flashcards 
Morale Moment 813
Morale Moment (8.1.3)
Sample Cards:no notes1 CardsPreview Flashcards 
Critical Points 821
Critical Points (8.2.1)
Sample Cards:what is a critical point,how do you find critical points2 CardsPreview Flashcards 
Maximum And Minimum 822
Maximum and Minimum (8.2.2)
Sample Cards:identify relative or local maxima and...,understand the extreme value theorem and,apply the closed interval method to find3 CardsPreview Flashcards 
Regions Where A Function Increases Or Dec
Regions Where a Function Increases or Decreases (8.2.3)
Sample Cards:critical points divide the curve of a...,on an interval the sign of the first ...2 CardsPreview Flashcards 
The First Derivative Test 824
The First Derivative Test (8.2.4)
Sample Cards:determining the sign of the derivativ...,the first derivative test states that if,on an interval the sign of the first ...3 CardsPreview Flashcards 
Math Magic 825
Math Magic (8.2.5)
Sample Cards:no notes1 CardsPreview Flashcards 
Concavity And Inflection Points 831
Concavity and Inflection Points (8.3.1)
Sample Cards:the concavity of a graph can be deter...,if the second derivative of a functio...,points where the graph changes concavity3 CardsPreview Flashcards 
Using The Second Derivative To Examine Co
Using the Second Derivative to Examine Concavity (8.3.2)
Sample Cards:the second derivative can be used to ...,knowing the critical points local ext...2 CardsPreview Flashcards 
The Mobius Band 834
The Möbius Band (8.3.4)
Sample Cards:no notes1 CardsPreview Flashcards 
Graphs Of Polynomial Functions 841
Graphs of Polynomial Functions (8.4.1)
Sample Cards:to graph a function 1 find critical p...,on an interval the sign of the first ...2 CardsPreview Flashcards 
Cusp Points And The Derivative 842
Cusp Points and the Derivative (8.4.2)
Sample Cards:functions with fractional exponents c...,to graph a function 1 find critical p...2 CardsPreview Flashcards 
Domain Restricted Functions And The Deriv
DomainRestricted Functions and the Derivative (8.4.3)
Sample Cards:if the variable of a function is rais...,to graph a function 1 find critical p...,on an interval the sign of the first ...3 CardsPreview Flashcards 
The Second Derivative Test 844
The Second Derivative Test (8.4.4)
Sample Cards:if the graph of a function has a tangent,if the graph of a function has a tangent,the second derivative test states tha...3 CardsPreview Flashcards 
Vertical Asymptotes 851
Vertical Asymptotes (8.5.1)
Sample Cards:what are asymptotes,how do you identify vertical asymptotes,how can you tell if there may be a ho...3 CardsPreview Flashcards 
Horizontal Asymptotes And Infinite Limits
Horizontal Asymptotes and Infinite Limits (8.5.2)
Sample Cards:what are asymptotes,how do you identify horizontal asympt...,examine the highest powered term in t...3 CardsPreview Flashcards 
Graphing Functions With Asymptotes 853
Graphing Functions with Asymptotes (8.5.3)
Sample Cards:identify vertical asymptotes for a ra...,identify horizontal asymptotes by taking,the behavior of a function can change...3 CardsPreview Flashcards 
Functions With Asymptotes And Holes 854
Functions with Asymptotes and Holes (8.5.4)
Sample Cards:identify vertical asymptotes for a ra...,identify horizontal asymptotes by taking,a hole or point discontinuity occurs ...3 CardsPreview Flashcards 
Functions With Asymptotes And Critical Po
Functions with Asymptotes and Critical Points (8.5.5)
Sample Cards:identify vertical asymptotes for a ra...,identify horizontal asymptotes by taking,the behavior of a function can change...3 CardsPreview Flashcards 
Antidifferentiation 911
Antidifferentiation (9.1.1)
Sample Cards:if you want to undo the derivative tr...,antidifferentiation is a process or o...,given two functions f and f f is an a...3 CardsPreview Flashcards 
Antiderivatives Of Powers Of X 912
Antiderivatives of Powers of x (9.1.2)
Sample Cards:given two functions f and f f is an a...,if a function has an antiderivative then,the properties of antidifferentiation...3 CardsPreview Flashcards 
Antiderivatives Of Trigonometric And Expo
Antiderivatives of Trigonometric and Exponential Functions (9.1.3)
Sample Cards:given two functions f and f f is an a...,discover integration formulas by looking2 CardsPreview Flashcards 
Undoing The Chain Rule 921
Undoing the Chain Rule (9.2.1)
Sample Cards:since differentiation and integration...,one method for evaluating integrals i...2 CardsPreview Flashcards 
Integrating Polynomials By Substitution 9
Integrating Polynomials by Substitution (9.2.2)
Sample Cards:the differential of an integral ident...,integration by substitution is a tech...2 CardsPreview Flashcards 
Integrating Composite Trigonometric Funct
Integrating Composite Trigonometric Functions by Substitution (9.3.1)
Sample Cards:integration by substitution is a tech...,if the du expression is only off by a...2 CardsPreview Flashcards 
Integrating Composite Exponential And Rat
Integrating Composite Exponential and Rational Functions by Substitution (9.3.2)
Sample Cards:integration by substitution is a tech...,you may need to experiment with sever...2 CardsPreview Flashcards 
More Integrating Trigonometric Functions
More Integrating Trigonometric Functions by Substitution (9.3.3)
Sample Cards:you can apply integration by substitu...,when working with integrands that inc...2 CardsPreview Flashcards 
Choosing Effective Function Decomposition
Choosing Effective Function Decompositions (9.3.4)
Sample Cards:experiment with different choices for...,when working with integrands that inc...2 CardsPreview Flashcards 
Approximating Areas Of Plane Regions 941
Approximating Areas of Plane Regions (9.4.1)
Sample Cards:the two key questions of calculus have a,when trying to find the area of a com...2 CardsPreview Flashcards 
Areas Riemann Sums And Definite Integrals
Areas, Riemann Sums, and Definite Integrals (9.4.2)
Sample Cards:as the number of rectangles used to a...,a function and the equation for the area,the definite integral of f from a to ...3 CardsPreview Flashcards 
The Fundamental Theorem Of Calculus Part
The Fundamental Theorem of Calculus, Part 1 (9.4.3)
Sample Cards:understand the fundamental theorem of...,apply the fundamental theorem of calc...2 CardsPreview Flashcards 
The Fundamental Theorem Of Calculus Part
The Fundamental Theorem of Calculus, Part II (9.4.4)
Sample Cards:let f be defined on the interval a b the,the fundamental theorem of calculus l...,the fundamental theorem of calculus s...3 CardsPreview Flashcards 
Illustrating The Fundamental Theorem Of C
Illustrating the Fundamental Theorem of Calculus (9.4.5)
Sample Cards:the fundamental theorem of calculus e...,when the limits of integration are no...,the fundamental theorem of calculus s...3 CardsPreview Flashcards 
Evaluating Definite Integrals 946
Evaluating Definite Integrals (9.4.6)
Sample Cards:when working with integration by subs...,since there is a connection between t...,another way to evaluate definite inte...3 CardsPreview Flashcards 
An Overview Of Trigonometric Substitution
An Overview of Trigonometric Substitution Strategy (9.5.1)
Sample Cards:use trigonometric substitution to eva...1 CardsPreview Flashcards 
Trigonometric Substitution Involving A De
Trigonometric Substitution Involving a Definite Integral: Part One (9.5.2)
Sample Cards:use trigonometric substitution to eva...1 CardsPreview Flashcards 
Trigonometric Substitution Involving A De
Trigonometric Substitution Involving a Definite Integral: Part Two (9.5.3)
Sample Cards:how do you solve a definite integral ...,what purpose does the labeled right t...2 CardsPreview Flashcards 
Deriving The Trapezoidal Rule 961
Deriving the Trapezoidal Rule (9.6.1)
Sample Cards:the trapezoidal rule approximates the...1 CardsPreview Flashcards 
An Example Of The Trapezoidal Rule 962
An Example of the Trapezoidal Rule (9.6.2)
Sample Cards:the trapezoidal rule approximates the...1 CardsPreview Flashcards 
Antiderivatives And Motion 1011
Antiderivatives and Motion (10.1.1)
Sample Cards:position and motion can be analyzed u...,velocity is the rate of change of pos...,given the velocity function of an object5 CardsPreview Flashcards 
Gravity And Vertical Motion 1012
Gravity and Vertical Motion (10.1.2)
Sample Cards:the acceleration due to gravity of an...,given the initial velocity and initia...,the velocity and position functions c...3 CardsPreview Flashcards 
Solving Vertical Motion Problems 1013
Solving Vertical Motion Problems (10.1.3)
Sample Cards:given the initial velocity and initia...,the velocity and position functions c...2 CardsPreview Flashcards 
The Area Between Two Curves 1021
The Area between Two Curves (10.2.1)
Sample Cards:the definite integral can be used to ...,to find the area of a region bounded ...2 CardsPreview Flashcards 
Limits Of Area And Integration 1022
Limits of Area and Integration (10.2.2)
Sample Cards:to find the area of a region bounded ...1 CardsPreview Flashcards 
Common Mistakes To Avoid When Finding Are
Common Mistakes to Avoid When Finding Areas (10.2.3)
Sample Cards:when evaluating areas of regions make...,when finding the area between the x axis2 CardsPreview Flashcards 
Regions Bound By Several Curves 1024
Regions Bound by Several Curves (10.2.4)
Sample Cards:sometimes regions can be defined by more1 CardsPreview Flashcards 
Finding Areas By Integrating With Respect
Finding Areas by Integrating with Respect to y: Part One (10.3.1)
Sample Cards:sometimes it is easier to stack horiz...,area between two curves lim b gt a f x g2 CardsPreview Flashcards 
Finding Areas By Integrating With Respect
Finding Areas by Integrating with Respect to y: Part Two (10.3.2)
Sample Cards:area between two curves defined in terms,when finding the area of a region 1 s...2 CardsPreview Flashcards 
Area Integration By Substitution And Trig
Area, Integration by Substitution, and Trigonometry (10.3.3)
Sample Cards:area between two curves defined in terms,when finding the area of a region 1 s...2 CardsPreview Flashcards 
Finding The Average Value Of A Function 1
Finding the Average Value of a Function (10.4.1)
Sample Cards:the average value of a function on an...,average value 1 b a lim b gt a f x dx2 CardsPreview Flashcards 
Finding Volumes Using Cross Sectional Sli
Finding Volumes Using CrossSectional Slices (10.5.1)
Sample Cards:the volume of a solid with vertical c...,the volume of a solid with horizontal...2 CardsPreview Flashcards 
An Example Of Finding Cross Sectional Vol
An Example of Finding CrossSectional Volumes (10.5.2)
Sample Cards:the volume of a solid with vertical c...,the volume of a solid with horizontal...2 CardsPreview Flashcards 
Solids Of Revolution 1061
Solids of Revolution (10.6.1)
Sample Cards:revolving a plane region about a line...,using the disk method the volume v of...2 CardsPreview Flashcards 
The Disk Method Along The Y Axis 1062
The Disk Method along the yAxis (10.6.2)
Sample Cards:revolving a plane region about a line...,using the disk method the volume v of...2 CardsPreview Flashcards 
A Transcendental Example Of The Disk Meth
A Transcendental Example of the Disk Method (10.6.3)
Sample Cards:revolving a plane region about a line...,using the disk method the volume v of...2 CardsPreview Flashcards 
The Washer Method Across The X Axis 1064
The Washer Method across the xAxis (10.6.4)
Sample Cards:using the disk method the volume v of...,washers are disks with smaller disks ...2 CardsPreview Flashcards 
The Washer Method Across The Y Axis 1065
The Washer Method across the yAxis (10.6.5)
Sample Cards:using the disk method the volume v of...,washers are disks with smaller disks ...2 CardsPreview Flashcards 
Introducing The Shell Method 1071
Introducing the Shell Method (10.7.1)
Sample Cards:using the shell method the volume v of a1 CardsPreview Flashcards 
Why Shells Can Be Better Than Washers 107
Why Shells Can Be Better Than Washers (10.7.2)
Sample Cards:using the shell method the volume v of a,for some solids the shell method of f...2 CardsPreview Flashcards 
The Shell Method Integrating With Respect
The Shell Method: Integrating with Respect to y (10.7.3)
Sample Cards:using the shell method the volume v of a1 CardsPreview Flashcards 
An Introduction To Work 1081
An Introduction to Work (10.8.1)
Sample Cards:work is the energy used when applying...,for a constant force f work is the pr...,for a changing or variable force f x ...3 CardsPreview Flashcards 
Calculating Work 1082
Calculating Work (10.8.2)
Sample Cards:work is the energy used when applying...,for a changing or variable force f x ...2 CardsPreview Flashcards 
Hooke S Law 1083
Hooke's Law (10.8.3)
Sample Cards:work is the energy used when applying...,use hooke s law to determine how much...2 CardsPreview Flashcards 
Center Of Mass 1091
Center of Mass (10.9.1)
Sample Cards:the center of mass of an object is th...,a moment can be thought of as a system s,the center of mass x y can be found b...3 CardsPreview Flashcards 
The Center Of Mass Of A Thin Plate 1092
The Center of Mass of a Thin Plate (10.9.2)
Sample Cards:the center of mass of an object is th...,the center of mass of a thin plate pl...2 CardsPreview Flashcards 
An Introduction To Arc Length 10101
An Introduction to Arc Length (10.10.1)
Sample Cards:arc length is the length of the curve,the arc length of a smooth curve give...2 CardsPreview Flashcards 
Finding Arc Lengths Of Curves Given By Fu
Finding Arc Lengths of Curves Given by Functions (10.10.2)
Sample Cards:the arc length of a smooth curve give...1 CardsPreview Flashcards 
An Introduction To Differential Equations
An Introduction to Differential Equations (11.1.1)
Sample Cards:a differential equation is an equatio...,not all differential equations can be...2 CardsPreview Flashcards 
Solving Separable Differential Equations
Solving Separable Differential Equations (11.1.2)
Sample Cards:to solve a separable differential equ...,initial conditions allow you to find ...2 CardsPreview Flashcards 
Finding A Particular Solution 1113
Finding a Particular Solution (11.1.3)
Sample Cards:given a point you can use the general...1 CardsPreview Flashcards 
Direction Fields 1114
Direction Fields (11.1.4)
Sample Cards:given a first order differential equa...,the direction field illustrates the s...2 CardsPreview Flashcards 
Euler S Method For Solving Differential E
Euler's Method for Solving Differential Equations Numerically (11.1.5)
Sample Cards:compute and graph approximate solutio...,when the exact solution is known find...2 CardsPreview Flashcards 
Exponential Growth 1121
Exponential Growth (11.2.1)
Sample Cards:population growth can be modeled with...1 CardsPreview Flashcards 
Logistic Growth 1122
Logistic Growth (11.2.2)
Sample Cards:distinguish between exponential growt...,analyze solutions to logistic growth ...,solve logistic growth equations numer...4 CardsPreview Flashcards 
Radioactive Decay 1123
Radioactive Decay (11.2.3)
Sample Cards:radioactive substances decay over tim...,the same equations that govern expone...2 CardsPreview Flashcards 
Indeterminate Forms 1211
Indeterminate Forms (12.1.1)
Sample Cards:a limit of a function is called an in...,some indeterminate forms can be solve...2 CardsPreview Flashcards 
An Introduction To L Hopital S Rule 1212
An Introduction to L'Hôpital's Rule (12.1.2)
Sample Cards:a limit of a function is called an in...,lhopitals rule enables you to evaluat...2 CardsPreview Flashcards 
Basic Uses Of L Hopital S Rule 1213
Basic Uses of L'Hôpital's Rule (12.1.3)
Sample Cards:when evaluating a limit it is always ...,as long as the limit is still an inde...,l hopital s rule might not produce th...3 CardsPreview Flashcards 
More Exotic Examples Of Indeterminate For
More Exotic Examples of Indeterminate Forms (12.1.4)
Sample Cards:as long as the limit still produces a...,when applying l hopital s rule to a q...,l hopital s rule might not give you t...3 CardsPreview Flashcards 
L Hopital S Rule And Indeterminate Produc
L'Hôpital's Rule and Indeterminate Products (12.2.1)
Sample Cards:some indeterminate forms have to be t...,when applying l hopital s rule to an ...2 CardsPreview Flashcards 
L Hopital S Rule And Indeterminate Differ
L'Hôpital's Rule and Indeterminate Differences (12.2.2)
Sample Cards:some indeterminate forms have to be t...,look for a common denominator or a cl...2 CardsPreview Flashcards 
L Hopital S Rule And One To The Infinite
L'Hôpital's Rule and One to the Infinite Power (12.2.3)
Sample Cards:some indeterminate forms have to be t...,in order to apply l hopital s rule to...2 CardsPreview Flashcards 
Another Example Of One To The Infinite Po
Another Example of One to the Infinite Power (12.2.4)
Sample Cards:some indeterminate forms have to be t...,in order to apply l hopital s rule to...2 CardsPreview Flashcards 
The First Type Of Improper Integral 1231
The First Type of Improper Integral (12.3.1)
Sample Cards:an improper integral is a definite in...,with some improper integrals the area of,an improper integral that is infinite...3 CardsPreview Flashcards 
The Second Type Of Improper Integral 1232
The Second Type of Improper Integral (12.3.2)
Sample Cards:if a function is not continuous on th...1 CardsPreview Flashcards 
Infinite Limits Of Integration Convergenc
Infinite Limits of Integration, Convergence, and Divergence (12.3.3)
Sample Cards:improper integrals can be expressed a...1 CardsPreview Flashcards 
An Introduction To Paradoxes 1311
An Introduction to Paradoxes (13.1.1)
Sample Cards:no notes1 CardsPreview Flashcards 
Paradoxes And Air Safety 1312
Paradoxes and Air Safety (13.1.2)
Sample Cards:no notes1 CardsPreview Flashcards 
A Glimpse Into Calculus Ii 1331
A Glimpse Into Calculus II (13.3.1)
Sample Cards:calculus ii explores new techniques o...,calculus ii delves deeper into the co...2 CardsPreview Flashcards
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