Question Details

(solution) This focuses on L'Hopitals Maximum/Minimum Anti derivative U-Sub


This focuses on

L'Hopitals

Maximum/Minimum

Anti derivative

U-Sub

Riemann Sums

Differential Equations

Integration by Parts

Partial Derivatives


Math 121 Final Exam Review Part 3

 

1. Evaluate:

 

a.

 

b. c. d. e. f. x e x dx (hint: u=x) g. 2x 1dx x 2 2x 3dx 1 3 2x 3

 

dx

 

3x 4 7

 

2

 

0 x x 2 5dx

 

x ln xdx (hint: u=ln(x)) 2

 

0 3 x 2e x 1dx 2. Find the first and second order partial derivatives of:

 

a.

 

b. 3. f x, y 4 xy 3 6x 2

 

f x, y e 3x ln y Find the local max and min of: a. () = 3 + b.

 

4. () = ln() for ?3 < < 3 for 0< <? Find 4 and 2 of:

 

a. () = 2 for 0< <4 b. () = 2 for 4< <6

 


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