Intro to ChemE Final

Question 1

Bisection Method Flow Diagram

Answer 1

7. keep upper half of range

**low = mid **

Question 2

Newton’s Method Flow Diagram

Answer 2

1. define converge tolerance tol

Question 3

Newton’s Method Flow Diagram

Answer 3

4. calculate slope fpr(x)

x=x-f(x)/fpr(x)

calculate f(x)

Question 4

Syntax to create an nxn identity matrix and an identity matrix the same size as matrix A

Answer 4

eye(n)

eye(size(A))

Question 5

Bisection Method Flow Diagram

Answer 5

2. input lower and upper limits low and high

Question 6

To return an answer for an array function use

Answer 6

Ctrl + Shift + Enter

Question 7

Excel command for inverse

Answer 7

minverse

Question 8

For an undetermined system, what methods will not work

Answer 8

Matrix inverse method and Cramer’s method

Question 9

MATLAB command for inverse

Answer 9

inv

Question 10

Excel command for determinate

Answer 10

mdeterm

Question 11

Newton’s Method Flow Diagram

Answer 11

5. output root x

Question 12

Using the Exponential Function to describe data

Answer 12

y=b(10)^mx and its equivalent form y=be^mx give a straight line when plotted on a semilog plot whose y axis is logarithmic

Question 13

Syntax and solution output for pseudoinverse method

Answer 13

x=pinv(A)*b

minimum norm solution

Question 14

Using the Power Function to describe data

Answer 14

y=bx^m gives a straight line when plotted on log-log axes

Question 15

If you attempt to solve a _____ using the inv command, MATLAB displays _____

Answer 15

If you attempt to solve a singular problem using the inv command, MATLAB displays an error message

Question 16

Using the Linear Function to describe data

Answer 16

y=mx+b gives a straight line when plotted on a rectilinear axes. its slope is m and its intercept is b

Question 17

Newton’s Method Flow Diagram

Answer 17

3. while abs(f(x)) > tol

Question 18

If the number of equations equals the number of unknowns and if |A| ≠ 0 then _____

Answer 18

If the number of equations equals the number of unknowns and if |A| ≠ 0 then the equation set has a solution and it is unique

Question 19

In subplot, what is the variable p

Answer 19

The variable p tells MATLAB to place the output of the plot command following the subplot command into the pth pane

Question 20

Bisection Method

if signs are different (negative product) you should eliminate the _____ of the interval

Answer 20

if signs are different (negative product) you should eliminate the UPPER HALF of the interval

Question 21

MATLAB command for determinate

Answer 21

det

Question 22

Excel command for transpose

Answer 22

transpose

Question 23

Bisection Method Flow Diagram

Answer 23

4. mid = (high + low) ÷ 2

evaluate function at lower limit and midpoint

fl=f(low) fm=f(mid)

Question 24

Bisection Method Flow Diagram

Answer 24

6. fl × fm > 0

Question 25

MATLAB command to obtain several smaller subplots in the same figure Syntax

Answer 25

subplot subplot(m,n,p)

Question 26

Bisection Method Flow Diagram

Answer 26

8. **display root (mid)**

Question 27

Bisection Method Flow Diagram

Answer 27

5. **keep lower half of range** ## Footnote **high = mid**

Question 28

Excel command for multiplication

Answer 28

mmult

Question 29

Syntax to create a nxn matrix of zeros and an mxn matrix of zeros

Answer 29

zeros(n) and zeros(m,n)

Question 30

Bisection Method if signs are same (positive product) you should eliminate the _____ of the interval

Answer 30

if signs are same (positive product) you should eliminate the **LOWER HALF** of the interval

Question 31

Newton's Method Flow Diagram

Answer 31

2. **input initial guess *x*** **calculate *f(x)***

Question 32

MATLAB commands for generating plots

Answer 32

loglog(x,y) semilogx(x,y) semilogy(x,y)

Question 33

Bisection Method Flow Diagram

Answer 33

3. *while* **high-low \> 2 × tolerance**

Question 34

The left-division method is based on

Answer 34

Gauss elimination

Question 35

Bisection Method Flow Diagram

Answer 35

1. *define* **tolerance tol**

Question 36

In MATLAB, _____ or _____ seperate elements within a row; _____ separate rows

Answer 36

In MATLAB, **spaces** or **commas** seperate elements within a row; **semi-colons** separate rows

Question 37

Bisection Method you should continue until the interval width is _____ or \_\_\_\_\_

Answer 37

you should continue until the interval width is **LESS THAN TWO TIMES** *ALLOWABLE ERROR* or **SIXTEEN** *ITERATIONS*