Which of the following iterated integrals computes the volume of the solid under the graph of the function f(x,y) = x³e over the triangular region x + 4y ≤ 8, x ≥ 0, y ≥ 0? A. B. 4 x+2 [*[***²3³e³ dydx D. p=x+2 [³[***²3³e³ dydx -8 C. · ²x² dydx √2-1x * ² * ³e³ dydx 2-1x E. ***** x³e³⁹ dydx 6²

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Question
Which of the following iterated integrals computes the volume of the solid under the
graph of the function f(x,y) = x³ey over the triangular region x + 4y ≤ 8, x ≥ 0,
y ≥ 0?
A.
B.
C.
D.
E.
4 p=x+2
***** x³e³ dydx
r=x+2
[³ [***² x3³e³ dydx
³ [²x³e³ dydx
ey
2-1x
* ² * x³e³ dydx
p2-1x
fox³e³ dydx
8
Transcribed Image Text:Which of the following iterated integrals computes the volume of the solid under the graph of the function f(x,y) = x³ey over the triangular region x + 4y ≤ 8, x ≥ 0, y ≥ 0? A. B. C. D. E. 4 p=x+2 ***** x³e³ dydx r=x+2 [³ [***² x3³e³ dydx ³ [²x³e³ dydx ey 2-1x * ² * x³e³ dydx p2-1x fox³e³ dydx 8
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