math_172_(fall_2008)_exam1spring08

math_172_(fall_2008)_exam1spring08 - R about the y axis . R...

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

View Full Document Right Arrow Icon
Math 172: Second Semester Calculus Spring Semester, 2008 Make-up Exam 1 # 1 2 3 4 5 6 Total worth 13 15 15 24 15 18 100 s c o r e N a m e : S e c t i o n : ID Number: Instructions: Work must be shown to receive credit. No calculators. Question 1. (13 points) Find the area of the region bounded by the curve x y 1 = and the lines x y = and 2 = x .
Background image of page 1

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

View Full DocumentRight Arrow Icon
Question 2. (15 points) The region R is bounded by the curve y = 1/ x where x ranges from 1 to 3 and the x axis. Find the volume of the solid object obtained by rotating R about the x axis . R
Background image of page 2
Question 3 ( 15 points ) The region R is bounded by the curve y = sin x where x ranges from 0 to π and the x axis. Find the volume of the solid object obtained by rotating
Background image of page 3

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

View Full DocumentRight Arrow Icon
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: R about the y axis . R Question 4. (6 points each) Evaluate the following integrals (A) dx x x ) ( sec ) tan( 3 (B) + dx x x ) 5 )( 3 ( 2 (C) 2 / ) 2 cos( dx x x (D) dx x ) ( tan 1 Question 5. (15 points) Evaluate the following integral ( ) + dx x 2 / 3 2 9 Question 6. (6 points each) Express the following improper integrals as the appropriate limits. Are they convergent or divergent? If divergent, explain why. If convergent, evaluate. (A) 1 3 / 1 1 dx x (B) 2 3 dx e x (C) e dx x x 2 )) (ln(...
View Full Document

Page1 / 6

math_172_(fall_2008)_exam1spring08 - R about the y axis . R...

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