Given the plane region D = {(x, y) = R² : 1≤ x² + y² ≤4, |y| ≤ x}, the integral SD x² dxdy equals 15 (A) (π + 2) 8 7 (B) (π + 2) 12 15 (C) (π+2) (D) 0 16

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 32E
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the correct answer is C

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Given the plane region D = {(x, y) = R² : 1≤ x² + y² ≤4, |y| ≤ x}, the integral
SD x² dxdy equals
15
(A) (π + 2)
8
7
(B) (π + 2)
12
15
(C) (π+2)
(D) 0
16
Transcribed Image Text:Given the plane region D = {(x, y) = R² : 1≤ x² + y² ≤4, |y| ≤ x}, the integral SD x² dxdy equals 15 (A) (π + 2) 8 7 (B) (π + 2) 12 15 (C) (π+2) (D) 0 16
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