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MATH 125 Winter 2008 Exam I - Prof. Jennifer Taggart, Exams of Analytical Geometry and Calculus

University of Washington (UW) - SeattleAnalytical Geometry and Calculus
Prof. Jennifer Taggart

A cover sheet for a math exam, specifically math 125 during the winter 2008 semester. The exam consists of 6 problems, and students are required to show all work and justify their answers. They are allowed to use a scientific calculator and one sheet of handwritten notes, but no other electronic devices or notes are permitted. The problems involve calculus concepts such as integration, finding areas and volumes, and riemann sums.

Typology: Exams

Pre 2010

Uploaded on 03/18/2009

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koofers-user-oge 🇺🇸

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MATH 125 I
Exam I
January 31, 2008
Name
Student ID # Section
HONOR STATEMENT
“I affirm that my work upholds the highest standards of honesty and academic integrity at the
University of Washington, and that I have neither given nor received any unauthorized assistance
on this exam.”
SIGNATURE:
1 20
2 10
3 5
4 5
5 8
6 12
Total 60
•Your exam should consist of this cover sheet, followed by 6 problems on 5 pages. Check that
you have a complete exam.
•Show all work and justify your answers.
•Unless otherwise indicated, your answers should be exact values rather than decimal approx-
imations. (For example, π
4is an exact answer and is preferable to its decimal approximation
0.7854.)
•You may use a scientific calculator and one 8.5×11-inch sheet of handwritten notes. No other
electronic devices nor notes are allowed.
•Turn your cell phone OFF and put it AWAY for the duration of the exam.
GOOD LUCK!
pf3
pf4
pf5

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Download MATH 125 Winter 2008 Exam I - Prof. Jennifer Taggart and more Exams Analytical Geometry and Calculus in PDF only on Docsity!

MATH 125 I

Exam I January 31, 2008

Name

Student ID # Section

HONOR STATEMENT

“I affirm that my work upholds the highest standards of honesty and academic integrity at the University of Washington, and that I have neither given nor received any unauthorized assistance on this exam.”

SIGNATURE:

Total 60

  • Your exam should consist of this cover sheet, followed by 6 problems on 5 pages. Check that you have a complete exam.
  • Show all work and justify your answers.
  • Unless otherwise indicated, your answers should be exact values rather than decimal approx- imations. (For example, π 4 is an exact answer and is preferable to its decimal approximation 0.7854.)
  • You may use a scientific calculator and one 8.5×11-inch sheet of handwritten notes. No other electronic devices nor notes are allowed.
  • Turn your cell phone OFF and put it AWAY for the duration of the exam.

GOOD LUCK!

  1. (20 points) Compute the integral.

(a)

sin(ln x) x dx

(b)

0

x √ x + 1

dx

(c)

− 2

|x^3 | dx

(d)

− 2

x^3 dx

  1. (5 points) Let R be the region bounded by y = sin x and the x-axis on the interval 0 ≤ x ≤ π. Set up, BUT DO NOT EVALUATE, the integral that represents the volume of the solid generated by rotating R about the line x = 2π.
  2. (5 points) The following integral represents the volume of a solid. Describe the solid.

V = π

0

(x − x^4 ) dx

  1. (8 points) The graph below is the function f (x) = cos

( (^) π 32

x^2

. Taking sample points to be right-hand endpoints and n = 4, sketch the rectangles whose areas add up to a Riemann sum for f (x) on the interval [0, 4] and use your calculator (in RADIAN mode) to give a decimal approximation of this sum, rounding your final answer to 4 digits after the decimal.