MATH-1080 Midterm: 201708_Test_1A
31 Jan 2019
School
Department
Course
Professor
MATH 1080
Calculus of One Variable II
Test 1
Version A
Fall 2017
Sections 6.1 - 6.5, 7.1 - 7.3
Student’s Printed Name: CUID:
Instructor: Section:
Instructions: You are not permitted to use a calculator on any portion of this test. You are not
allowed to use any textbook, notes, cell phone, laptop, tablet, SMART watch, or any technology
on any portion of this test. All devices must be turned off while you are in the testing room.
During this test, any communication with any person (other than the instructor or a designated
proctor) in any form, including written, signed, verbal, or digital, is understood to be a violation
of academic integrity.
No part of this test may be removed from the examination room.
Read each question carefully. In order to receive full credit for the free response portion of the test,
you must:
1. Show legible and logical (relevant) justification that supports your final answer.
2. Use complete and correct mathematical notation.
3. Include proper units, if necessary.
4. Give exact numerical values whenever possible.
5. If integration by parts is required, no credit will be given for the use of tabular integration.
6. No credit will be given for the use of Reduction Formulas.
You have 90 minutes to complete the entire test.
On my honor, I have neither given nor received inappropriate or unauthorized infor-
mation at any time before or during this test.
Student’s Signature:
Do not write below this line.
Free Response Possible Points Free Response Possible Points
Problem Points Earned Problem Points Earned
1. 13 5(b). 6
2. 13 5(c). 6
3. 13 Free Response 70
4. 13 Multiple Choice 30
5(a). 6 Test Total 100
Version A - Page 1 of 12
MATH 1080
Calculus of One Variable II
Test 1
Version A
Fall 2017
Sections 6.1 - 6.5, 7.1 - 7.3
Multiple Choice: There are 10 multiple choice questions. They all have the same point
value. Each question has one correct answer. The multiple choice problems will count
for 30% of the total grade. Use a number 2 pencil and bubble in the letter of your
response on the scantron sheet for problems 1 - 10. For your own record, also circle
your choice on your test since the scantron will not be returned to you. Only the
responses recorded on your scantron sheet will be graded. You are NOT permitted
to use a calculator on any portion of this test.
1. (3 pts.) Which of the following represents the area of the region bounded by the curves y= 2√x,
y=x, and x= 7?
(a) Z4
0
(x−2√x)dx +Z7
4
(2√x−x)dx
(b) Z7
0
(2√x−x)dx
(c) Z7
0
(x−2√x)dx
(d) Z4
0
(2√x−x)dx +Z7
4
(x−2√x)dx
2. (3 pts.) A spring has a natural length of 5 meters. A force of 150 newtons is required to hold
a spring stretched to a length of 20 meters. Assuming Hooke’s Law applies, how much work is
done in stretching the spring to a length of 10 meters?
(a) 375 J (b) 125 J (c) 75 J (d) 500 J
Version A - Page 2 of 12
MATH 1080
Calculus of One Variable II
Test 1
Version A
Fall 2017
Sections 6.1 - 6.5, 7.1 - 7.3
3. (3 pts.) Consider the region bounded by the graphs of y= ln x,x= 1, and y= 1. Which of
the following integrals gives the volume of the solid generated when this region is rotated about
the y-axis?
(a) Ze
1
2π(x+ 1)(1 −ln x)dx
(b) Ze
1
2π(1 −y)(ey−1) dy
(c) Z1
0
2πy(ey−1) dy
(d) Ze
1
2πx(1 −ln x)dx
4. (3 pts.) Evaluate the integral Z3 sin2(4x)dx.
(a) 3
2x−3 sin(8x)
16 +C
(b) 1
4sin3(4x) + C
(c) 3
2x−3 sin(2x)
4+C
(d) 3
2x+3 sin(4x)
8+C
Version A - Page 3 of 12
Document Summary
Instructions: you are not permitted to use a calculator on any portion of this test. You are not allowed to use any textbook, notes, cell phone, laptop, tablet, smart watch, or any technology on any portion of this test. All devices must be turned o while you are in the testing room. During this test, any communication with any person (other than the instructor or a designated proctor) in any form, including written, signed, verbal, or digital, is understood to be a violation of academic integrity. No part of this test may be removed from the examination room. You have 90 minutes to complete the entire test. On my honor, i have neither given nor received inappropriate or unauthorized infor- mation at any time before or during this test. Multiple choice: there are 10 multiple choice questions. The multiple choice problems will count for 30% of the total grade.
