Flashcards in Final Exam Deck (30):
What is the slope of the tangent line of the function f (x) = −2x ^2 + 3x − 1 at x = −2?
Consider the function y = x^ 2 − 3x + 2. At what value of x is the slope of the tangent line equal to 5?
What is the derivative of the function
f (x) = −10x^5?
Find the derivative of:
f(x)=(x+3)^3/2 / (x−2)^3/2
Compute dy/dx for y=√x2+1+1/√x^2+1
What is the derivative of the function f(x)=xsinx+1cosx?
What is the equation of the line tangent to the curve y + ex = 2e^xy at the point (0, 1)?
y = x + 1
A point moves along the x-axis with its position, x, at time t given by x (t) = t ^3 − 3t ^2 + 2t − 1.
Which of the following is the acceleration when
t = 2?
Determine d^2/dx^2 [e^x−3]
A ladder 25 feet long is leaning against a house. The base of the ladder is pulled away from the wall at a rate of 2 ft / sec. How fast is the top moving down the wall when the base of the ladder is 15 feet from the wall?
A box manufacturer is to make a closed box of volume 288 in3, where the base is a rectangle whose length is three times its width. What is the length of the box that uses the least amount of material?
What are the critical points of the function f (x) = x ^4 − 6x^ 2 + 8x ?
x = -2, 1
For which of the following intervals is the graph of f(x)=24/x^2+12 concave down?
Which of the following equations could be an equation of a horizontal asymptote of y=2x^2−7x+4/x−5?
There is no horizontal asymptote
Evaluate the indefinite integral∫⎛⎝3√t2+13√t5⎞⎠dt
Evaluate the indefinite integral ∫(3t2√t3+t2+1+2t√t3+t2+1)dt.
Evaluate ∫16/3 x^1/3cot(x^4/3)dx
What is the area beneath the curve f(x)=x2√3−x^3 from x = −2 to x = −1?
Determine the height from which an object must be dropped so that it will have the same speed in ft / s when it lands as the height in feet from which it was dropped.
What is the area of the shaded region shown in the figure below bounded by the curves y = 2x^ 2 − 1, y = x^ 2 − x + 1, and y = x^ 2 + x + 1?
Find dG/dx if
What is the limit of the function in the graph at x = 4?
The limit does not exist
Compute the derivative of the function f(x)=2x^2+2e^x.
What is the inverse of f(x)=x/1+2x
arcsec (2x) + C
What is the area between the curves x=y^2−9 and x=−y^2+9 ?
What is the volume of the solid of revolution obtained by rotating the region bounded by y=x,x=1, and the x-axis around the x-axis?
The half-life of iodine-126 (I 126 ) is 13 days. Of an original sample of 1,000.0 grams, how may grams of I 126 will remain after 98 days? Give the answer to the nearest tenth of a gram.
A force of 2x + 5 pounds at a point x feet from the origin moves an object from
x = 2 to x = 5. What is the work done?