Sf h(x,y) da S the Ay cross section depicted below. (6,6) x=y x h(x,y) = (y-x)(x-y+5y) known maximum height at (-3/2,3) is 20.25 metres) the volume by doing the following. be the object region A mathematically, with er variable and x as the inner variable, up and evaluate the double integral. as

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The volume of the object V(metres ³) is defined as the integral
V=ff
•Sf h(x,y) da
where
A is the
x=y2-5y
(-3/2,3)
AY
(0,0)
cross section depicted below.
(6,6)
x=y
x
h(x,y) = (y-x) (x-g2+5y)
known maximum height at
(-3/2,3) is 20.25 metres)
with
Calculate the volume by doing the following.
i) describe the object region A mathematically,
the outer variable and x as the inner variable,
ii) set up and evaluate the double integral.
y
as
Transcribed Image Text:The volume of the object V(metres ³) is defined as the integral V=ff •Sf h(x,y) da where A is the x=y2-5y (-3/2,3) AY (0,0) cross section depicted below. (6,6) x=y x h(x,y) = (y-x) (x-g2+5y) known maximum height at (-3/2,3) is 20.25 metres) with Calculate the volume by doing the following. i) describe the object region A mathematically, the outer variable and x as the inner variable, ii) set up and evaluate the double integral. y as
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