Practice Test 2 - Calculus II - Fall 2005 | MATH 112, Exams of Calculus

Material Type: Exam; Class: Calculus II; Subject: Mathematics; University: Colgate University; Term: Spring 2005;

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

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Test 2 Math 112 March 8, 2005
NAME 9:20, 10:20, 12:20
Circle your class time.
PLEASE NOTE: You may use the table of integrals provided wherever it applies. You must
state the number of the formula that you are using as well as values for each symbol used in
the table entry (e.g. uand a).
No calculator is allowed. Do not round off answers. If you get 10/6 as an answer, you should
leave your answer as 5/3. No decimal approximations, please.
If you have any questions, please raise your hand and ask. The worst that will happen is that
I will say, “I can’t tell you.”
Do the problems that you find easiest first. Take deep breaths between questions.
There are 100 points on this exam, and you have 110 minutes.
I hope you all do well. Good luck!
Question Points Points Earned
1 9
2 9
3 9
4 9
5 9
6 9
7 9
8 9
9 9
10 9
11 10
TOTAL 100
Trigonometric Product Formulas:
sin(A) sin(B) = 1
2[cos(AB)cos(A+B)]
cos(A) cos(B) = 1
2[cos(AB) + cos(A+B)]
sin(A) cos(B) = 1
2[sin(A+B) + sin(AB)]
pf3
pf4
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Test 2 Math 112 March 8, 2005

NAME 9:20, 10:20, 12:

Circle your class time.

  • PLEASE NOTE: You may use the table of integrals provided wherever it applies. You must state the number of the formula that you are using as well as values for each symbol used in the table entry (e.g. u and a).
  • No calculator is allowed. Do not round off answers. If you get 10/6 as an answer, you should leave your answer as 5/3. No decimal approximations, please.
  • If you have any questions, please raise your hand and ask. The worst that will happen is that I will say, “I can’t tell you.”
  • Do the problems that you find easiest first. Take deep breaths between questions.
  • There are 100 points on this exam, and you have 110 minutes.
  • I hope you all do well. Good luck!

Question Points Points Earned

TOTAL 100

Trigonometric Product Formulas:

sin(A) sin(B) = 12 [cos(A − B) − cos(A + B)]

cos(A) cos(B) = 12 [cos(A − B) + cos(A + B)]

sin(A) cos(B) = 12 [sin(A + B) + sin(A − B)]

  1. (9 points) Evaluate the integral:

∫ (^2)

1

we−wdw.

  1. (9 points) Evaluate the integral:

∫ (^) θ (^3) + 5θ

(θ^2 − 3)

15 dθ

  1. (9 points) Evaluate the integral:

∫ (^) e−tdt √ 16 − e^2 t

  1. (9 points) Evaluate the integral:

∫ (^3) x

x^2 − x + 163

dx.

  1. (9 points) Evaluate the integral:

∫ e^5 x^ sin(3x)dx.

  1. (9 points) Evaluate the integral:

∫ sin^4 (3x) dx

  1. (9 points) Set up and DO NOT EVALUATE the integral that equals the length of the curve given by xy = ln(y) for 1/ 3 ≤ y ≤ 1 /2.