MWF Midterm 1 (Fall 2009)

MWF Midterm 1 (Fall 2009) - Do not evaluate the integral....

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
MAT 296 Hour Test 1 (MWF sections) October 8, 2009 Do all the following problems. To receive full credit for an answer or to have it considered for partial credit, you must show your work . This test has 7 problems on 7 pages. Make sure your test is complete! 1. (14 points) A region is bounded by the curves y = x 2 and y = 2 x + 3. (a) Sketch the region. (b) Find the area of the region. 2. (12 points) A solid S is obtained by rotating the region bounded by y = x 2 + 4, y = 4 x , and x = 0 around the y -axis. (a) Set up an integral for finding the volume of S. Do not evaluate the integral. (b) What method did you use to part (a)? 3. (12 points) A solid is obtained by rotating the region bounded by x = 1 y , x = 0, y = 1, and y = 3 around the line x = - 1. (a) Set up an integral for finding the volume of S.
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Do not evaluate the integral. (b) What method did you use to part (a)? 4. (12 points) A bucket full of water is hanging down a well at the end of a 30 ft rope. The bucket and water together weigh 20 lbs. The rope has a density of 0.5 lb/ft. Set up an integral for calculating how much work is done lifting the bucket to the top of the well. Do not evaluate the integral. 5. (20 points) Evaluate each of the following denite integrals: (a) Z / 2 sin 2 x cos xdx (b) Z / 4 tan 2 sec 4 d 6. (24 points) Find the following indenite integrals: (a) Z x 2 ln xdx (b) Z 1 x 2 + 4 dx (c) Z x 2 16-x 2 dx 7. (6 points) Find the following indenite integral Z x 2 + 4 x + 5 dx...
View Full Document

Ask a homework question - tutors are online