(x+5) dy dx+ (x+5) dy dx+ 1-x2 14. 0, L 4-x2 (x+5) dy dx 0.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
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#14
In Exercises 11- 14, an iterated integral in rectangular coor-
dinates is given. Rewrite the integral using polar coordinates
and evaluate the new double integral.
11.
25-x2
LL (2y - x) dx dy
12.
16- у2
/8-y
L
(x+y) dx dy
13.
(x+5) dy dx+
(x+5) dy dx+
1–x?
14.
(x+5) dy
dx
Hint: draw the region of each integral carefully and see how
they all connect.
Transcribed Image Text:In Exercises 11- 14, an iterated integral in rectangular coor- dinates is given. Rewrite the integral using polar coordinates and evaluate the new double integral. 11. 25-x2 LL (2y - x) dx dy 12. 16- у2 /8-y L (x+y) dx dy 13. (x+5) dy dx+ (x+5) dy dx+ 1–x? 14. (x+5) dy dx Hint: draw the region of each integral carefully and see how they all connect.
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