Question 5 Consider the region S in the first quadrant bounded by the curves y = x² and y = 2x², y = x and y = 2x3. Also consider the function 3 y³ f(x, y) = x8 √x6+ y² Using new coordinates u = y/x³, v = y/x², evaluate ff f(x, y)dxdy R answer: 3(√5-√2)/2
Question 5 Consider the region S in the first quadrant bounded by the curves y = x² and y = 2x², y = x and y = 2x3. Also consider the function 3 y³ f(x, y) = x8 √x6+ y² Using new coordinates u = y/x³, v = y/x², evaluate ff f(x, y)dxdy R answer: 3(√5-√2)/2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
Question
100%
Transcribed Image Text:Question 5
Consider the region S in the first quadrant bounded by the curves y = x² and y = 2x²,
y = x and y = 2x3. Also consider the function
3
y³
f(x, y) =
x8
√x6+ y²
Using new coordinates u = y/x³, v = y/x², evaluate
ff f(x, y)dxdy
R
answer: 3(√5-√2)/2
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