7. What region R in the ry-plane minimizes the value of r + y? - 9dA? 8. Calculate the average value of f(x) = ry over the square 0 <<1, 0

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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7. What region R in the zy-plane minimizes the value of
2? + y? – 9 dA?
8. Calculate the average value of f(x) = xy over the square 0 <a < 1, 0 <y S1 and
over the quarter-circle a? + y? = 1 in the first quadrant.
Transcribed Image Text:7. What region R in the zy-plane minimizes the value of 2? + y? – 9 dA? 8. Calculate the average value of f(x) = xy over the square 0 <a < 1, 0 <y S1 and over the quarter-circle a? + y? = 1 in the first quadrant.
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