# Math 141 Calculus II Quiz ___1 Spring 2016

August 31, 2017

uestion
Quiz ___1_ Math 141 Calculus II Spring 2016
INSTRUCTIONS
The quiz is worth 45 points. There are 5 multiple choice (2 points) and 5 (3 points) short answer
problems, and 5 long answers (4 points, with work)
1.)This quiz is open book and open notes, and you may take as long as you like on it provided that you
submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer
to your textbook, notes, and online classroom materials, but you may not consult anyone.
2.) You must show all of your work for the long answers to receive full credit. If
you do not show work, you may earn only partial or no credit at the discretion of the professor.Showing
work for the other questions is not mandatory, but recommended so that if needed I can see where your
work also on the answer sheet. Be sure to include your name in the document. Review instructions for
submitting your quiz in the Unit Quizzes Module.
4.) Finally, be sure to sign the honor statement. Without this your quiz may be invalid.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find dy/dx.
1) a x
1
18t
9 dt 1)
A) 9
5
x6 – 9
5 B) 9×4 C) 12×6 D) 18×9/2
2) a
sin t
0
1
16 – x2 dx 2)
A) 1
cos t (16 – sin2 t)
B) 1
16 – sin2 t
C) cos t
16 – sin2 t
D) – cos t
16 – sin2 t
1
Evaluate the integral.
3) a
3
1/5
5 – 1
x
dx 3)
A) 14 – ln 15 B) 15 – ln 15
C) 14 – ln 1.66666667 D) 14 – ln 0.6
4) a
3?/4
– ?/4
9 sec ? tan ? d? 4)
A) – 9 2 B) 0 C) 9 2 D) – 18 2
5) a 2t
2 – 9 sin t dt 5)
A) 4t – 9 cos t + C B) 2
3 t3 – 9 cos t + C
C) 6t3 + 9 cos t + C D) 2
3 t3 + 9 cos t + C
Find the average value over the given interval.
6) y = 19
x
; [1, e] 6)
Solve the problem.
7) A particle moves with velocity v(t) = 2t + 3 find the distance traveled between t = 0 and t =
2.
7)
8) a a
a
Suppose that f is continuous and that
3
– 3
f(z) dz = 0 and
5
– 3
f(z) dz = 8. Find

5
3
3f(x) dx .
8)
Find the area of the shaded region.
9) 9)
Find the points of discontinuity of the integrand on the interval of integration, and use area to evaluate the integral.
10) a
4
– 6
x2 – 9
x + 3 dx 10)
2
Evaluate the definite integral by making a u- substitution and integrating from u(a) to u(b).
11) a
1
0
4 r dr
4 + 2r2 11)
12) a
4
1
dx
2x – 13 12)
13) a
2?
?/3
4 cos3 x sin x dx 13)
Find the area of the shaded region.
14) f(x) = – x3 + x2 + 16x
g(x) = 4x
14)
Solve the problem.
15) Find the work done in winding up a 300- ft cable that weighs 5.00 lb/ft. Use proper
significant digits.
15)
3

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