172 FALL 2009 EXAM 1 - Hooke’s law f x = kx 5 4(10 pts Find the area bounded between the curves y = √ x and y = x 2 5(10 pts Find the volume of

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Math 172 Exam #1 September 29, 2009 Name: Section#: Signature: ID# Instructions: Do all the problems. Circle your answers. To get credit, you need to show your work. The answer alone will not be counted as a solution. 1. (10 pts each) Evaluate each of the following integrals: (a) Z x x 2 - x - 2 dx
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 (b) Z 1 - x 2 dx . Hint: Consider a substitution: x = sin θ. (c) Z sin 3 x cos xdx
Background image of page 2
3 2. (10 pts each) Evaluate each of the following improper integrals: (Hint: A limit relationship?) (a) Z 1 x 2 ln xdx
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
4 (b) 1 Z 0 1 x 1 / 2 dx 3. (10pts) A force of 10 N is required to maintain a spring stretched from its natural length of 1m to a length of 2m. How much work is done in stretching the spring from 2m to 3m? (Hint:
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Hooke’s law: f ( x ) = kx .) 5 4. (10 pts) Find the area bounded between the curves y = √ x and y = x 2 . 5. (10 pts) Find the volume of the solid generated by rotating the region bounded by the curves y = √ x and y = x 2 about the x-axis. 6 6. (10 pts) Use the method of cylindrical shells to find the volume of the solid generated by rotating the region bounded by the curves y = √ x and y = x 2 about the y-axis. 7. (10 pts) Find the length of the curve: y = 2 3 ( x-2) 3 / 2 , 3 ≤ x ≤ 4....
View Full Document

This note was uploaded on 05/12/2010 for the course MATH 172 taught by Professor Remaley during the Spring '10 term at Washington State University .

Page1 / 6

172 FALL 2009 EXAM 1 - Hooke’s law f x = kx 5 4(10 pts Find the area bounded between the curves y = √ x and y = x 2 5(10 pts Find the volume of

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online