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University of Maryland University Global Campus    Dr

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University of Maryland University Global Campus    Dr. A Mohamed

                                                           MATH 141 6381-Calculus II                                                                                                               Fall 2020

                                                                                   Quiz #1 (100 pts)                                                                                                                     08/26/’20

(Show all your work to get full credit)

1. (56 pts) Find the following integrals.

a. 3x5+4x32-2x-12dx

 

b. 2x+3x+4x2dx

 

 

c. 13t2-t2dt

 

d. 143x3-2x2+4x2dx

 

 

 

2. (14 pts) Find f(x)

 by solving the initial-value problem.

 

 f'x=3x2-4x+8

 and f1=9

 

 

 

3. (16 pts) Find the area of the region bounded by the graphs of fx=2x+1

 and gx=x2+1

.

 

 

 

4. (14 pts) Suppose that the velocity of a moving particle is vt=4t3-6t+5

 ft/sec and the initial position is s0=10

. Find the displacement s(t)

.

 

 

 

5. (Extra 10 pts) Find the function f

 given that

 

a. The slope of the tangent line to the graph of f

 at any point Px, f(x)

 is given by the expression 3x2-6x+3

 and

 

b. The graph of f

 passes through the point 2, 9

.