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MATH 101 Webwork 2 Homework Questions and Answers PDF from 2020

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Course
MATH 101 (MATH101)

Institution
University Of British Columbia (UBC )

This is a pdf copy of the Webwork 2 assignment for MATH 101 at UBC with questions and answers. Note that the exact numbers in your question might differ but the answer key here will provide insight for you to tackle the problem nonetheless

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Uploaded on May 25, 2020
Number of pages 4
Written in 2019/2020
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math 101 differential and integral calculus
fundamental theorem of calculus
webwork 2 math 101 ubc answers pdf

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Nikita Sharma 2019W2 MATH 101 209
Assignment Homework 2 due 9/12/14 at 9pm

1. (1 point)R 3. (1 point)
Let g(x) = 0x f (t) dt, where f is the function whose graph is Use the Fundamental Theorem of Calculus to evaluate
Z 1
shown below.
3eu+1 du.
−1
(a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6.
g(0) = Correct Answers:
g(1) = • 3*(eˆ2-1)
g(2) =
g(3) = 4. (1 point)
g(4) = Use the Fundamental Theorem of Calculus to evaluate
Z 2
g(5) =
g(6) = −6x(2 + x5 ) dx.
0

(b) Estimate g(7). Correct Answers:
g(7) ≈ • 156/7*-6

(c) At what value of x does g attain its maximum? 5. (1 point)
Z 5π/2
x= Evaluate −3 sin(x) dx.
π/4
(d) At what value of x does g attain its minimum? Correct Answers:
x= • -3/sqrt(2)

Graph of f : Z 3
6. (1 point) Evaluate the integral (2ex + 5 cos x) dx.
0
Answer:
Correct Answers:
• 38.8767
Correct Answers: Z 8
7. (1 point) If f (1) = 16, f 0 is continuous, and f 0 (t) dt =
• 0 1
• 1/2 29, what is the value of f (8)?
• 0 Answer:
• -1/2 Correct Answers:
• 0 • 16+29
• 3/2
8. (1 point) Let g(x) = 0x f (t) dt, where f is the function
R
• 4
• 6.2 whose graph is shown. Answer the following questions only on
• 7 the interval [0, 10].
• 3

2. (1 point)
u3
Z 1
Let y = 2
du. Use the Fundamental Theorem of
1−9x 1 + u
Calculus to find y0 .
y0 =
Correct Answers:
• (-1)*(1-(9)*x)ˆ3/(1+(1-(9)*x)ˆ2)*(-1)*9

1

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