@ #10, In the xy-plane sketch the region R bounded by the curves x=y² and y=2-x b) Write down inequalities representing R of the form ≤d c≤ y ≤ d (for some const. c,d) and (functions h₁, h₂) h₁ (y) ≤ x ≤h₂(y) (for suitable (c) Using (a) and (b) rewrite SS2y-3x dA as an iterated R integral with SS... dx dy at the end, and evaluate it.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 33E
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@
#10, In the xy-plane sketch
the region R bounded by the
curves x=y² and y=2-x
b) Write down inequalities
representing R of the form
≤d
c≤ y ≤ d (for some const. c,d) and
(functions h₁, h₂)
h₁ (y) ≤ x ≤h₂(y) (for suitable
(c) Using (a) and (b) rewrite
SS2y-3x dA as an iterated
R
integral with SS... dx dy
at the end, and evaluate it.
Transcribed Image Text:@ #10, In the xy-plane sketch the region R bounded by the curves x=y² and y=2-x b) Write down inequalities representing R of the form ≤d c≤ y ≤ d (for some const. c,d) and (functions h₁, h₂) h₁ (y) ≤ x ≤h₂(y) (for suitable (c) Using (a) and (b) rewrite SS2y-3x dA as an iterated R integral with SS... dx dy at the end, and evaluate it.
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