Nikita Sharma 2019W2 MATH101209

Nikita Sharma 2019W2MATH101209 Assignment Homework2 due 9/12/14 at 9pm 1.(1 point) Letg(x) = R x

f(t)dt;wherefis the function whose graph is shown below.(a) Evaluateg(x)forx=0;1;2;3;4;5;and 6.g(0) = g(1) = g(2) = g(3) = g(4) = g(5) = g(6) =

(b) Estimateg(7):

g(7) (c) At what value ofxdoesgattain its maximum?x= (d) At what value ofxdoesgattain its minimum?x=

Graph off:

Correct Answers:

1/2

-1/2

3/2 4 6.2 7 3 2.(1 point) Lety= Z 1 19x u 3 1+u 2

du:Use the Fundamental Theorem of

Calculus to ndy

:

y

=

Correct Answers:

(-1)*(1-(9)*x)ˆ3/(1+(1-(9)*x)ˆ2)*(-1)*9 3.(1 point) Use the Fundamental Theorem of Calculus to evaluate Z 1 1 3e u+1

du:

Correct Answers:

3*(eˆ2-1) 4.(1 point) Use the Fundamental Theorem of Calculus to evaluate Z 2

6x(2+x 5

)dx:

Correct Answers:

156/7*-6

5.(1 point) Evaluate Z 5p=2 p=4

3sin(x)dx:

Correct Answers:

-3/sqrt(2) 6.(1 point) Evaluate the integral Z 3

(2e x

+5cosx)dx:

Answer:

Correct Answers:

38.8767

7.(1 point) Iff(1) =16;f

is continuous, and Z 8 1 f

(t)dt= 29;what is the value off(8)?

Answer:

Correct Answers:

16+29 8.(1 point) Letg(x) = R x

f(t)dt;wherefis the function whose graph is shown. Answer the following questionsonly on the interval[0;10].

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