# Its volume therefore is given by length width height 7

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

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

Unformatted text preview: is a box with base A and height 3. Its volume, therefore, is given by length × width × height = (7 − 2) × (4 − 2) × 3 . Consequently, 2. I = 72 cu. units correct 3. I = 70 cu. units 4. I = 68 cu. units 5. I = 69 cu. units Explanation: The double integral I = 30 . I= f (x, y ) dxdy A keywords: volume, double integral, rectangular region, rectangular solid 002 10.0 points is the volume of the solid below the graph of f having the rectangle A= (x, y ) : 0 ≤ x ≤ 6, 0 ≤ y ≤ 4 chester (crc2876) – HW13 – meth – (91845) for its base. Thus the solid is the wedge Explanation: Since x varies but y does not, 2 z 2 x − 4 x2 y d x = I= 0 6 2 12 43 x − xy 2 3 0 . Consequently, y I = 2− 32 y. 3 (6, 4) 6 x and so its volume is the area of triangular face multiplied by the thickness of the wedge. Consequently, keywords: 004 10.0 points Determine the...
View Full Document

## This note was uploaded on 08/25/2013 for the course MATH 408M taught by Professor Kushner during the Summer '10 term at University of Texas at Austin.

Ask a homework question - tutors are online