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## Calculus III

by: John MacGyver

10

0

1

# Calculus III MATH 241

John MacGyver
UT
GPA 3.52

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by John MacGyver on Monday October 26, 2015. The Class Notes belongs to MATH 241 at University of Tennessee - Knoxville taught by Staff in Fall. Since its upload, it has received 10 views. For similar materials see /class/229828/math-241-university-of-tennessee-knoxville in Mathematics (M) at University of Tennessee - Knoxville.

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Date Created: 10/26/15
Math 241 Spring 2006 NAMEFreire LIST 5d0uble integrals surface area volume 1 Find the integral of 1 over the given region D Sketch the region and indicate the slicing used D zydA DboundedbyyEyz2 D 2 Evaluate the double integral sketch the region and slicing used see above 3Sketch the region and evaluate the double integral reversing the order of integration if necessary 1 1 3 5y dydx 0 8 2 1 idd Aww wl my 4 Find the volume of the solid region described below under surface 2 my above triangle 1 1 4 1 1 2 enclosed by paraboloid z z23y2 and planes z O y 1 y m z O 5 Change into an integral in polar coordinates and evaluate 1 11712 mdmdy 1 7W 1 x97z2 2 0 0 1 222 w 6 Use polar coordinates to nd the volume of the solid described below Below paraboloid z 18 7 2x2 7 2342 above xy plane Bounded by paraboloid z 1 2z2 yz and plane 2 7 in rst quadrant 7 Sketch the region D C R2 and compute the coordinates of its centroid

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