uniform0905

uniform0905 - y = x 4 , y = 0, and x = 1. Find the volume...

This preview shows pages 1–7. Sign up to view the full content.

Math 242 Section 014: Test #1 NAME: Please circle your lab/discussion: 060 (12:00) 061 (11:00) 062 (2:30) This test has 6 questions on 6 pages . The points per page are 5, 5, 5, 5, 6, 6. Show your work. A correct answer with little or no reasoning may receive a low score. (However, there is no need to be wordy.) The 7th page has some formulas you can refer to if needed. [5 points] Question 1. Evaluate lim x 0 cos x - 1 x 2 . 1

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

View Full Document
[5 points] Question 2. Let R be the region bounded by y = 1 /x , y = 1 /x 2 , and x = 2. Find the area of the region R . 2
[5 points] Question 3. Let A be the region bounded by

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

View Full Document

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: y = x 4 , y = 0, and x = 1. Find the volume obtained by revolving A around the line x = 2. 3 [5 points] Question 4. Evaluate Z 1 x-1 x 2 + 3 x + 2 dx . 4 [6 points] Question 5. Evaluate Z 1 x 2 √ x 2-9 dx . 5 [6 points] Question 6. Evaluate Z 2 π e-x cos x dx . 6 If helpful, you may use any of these formulas in any of the test questions. sin 2 x = 1 2 ± 1-cos 2 x ² cos 2 x = 1 2 ± 1 + cos 2 x ² Z 1 1 + x 2 dx = ? Z sec x dx = ln | sec x + tan x | + C 7...
View Full Document

This note was uploaded on 12/07/2011 for the course MATH 242 taught by Professor Wang during the Spring '08 term at University of Delaware.

Page1 / 7

uniform0905 - y = x 4 , y = 0, and x = 1. Find the volume...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online