3 Using a Change of Variables The figure shows the region R bounded by the curves y= Ja, y = /2r, y = and y = x² %3D 3' 4 Use the change of variables x u/3v2/3 and y = u2/3y1/3 to find the area of the region R. y y= y =v2r y=Vx R 2. %3D 113 II

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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, Using a Change of Variables The figure shows the
region R bounded by the curves
x²
y = /x, y = /2x, y
and
3'
x²
y
41
%3D
Use the change of variables x = u/3v2/3 and y u2/3yl/3 to
find the area of the region R.
%3D
%3D
y
.2
1
2.
y%3D
y3V2x
Transcribed Image Text:, Using a Change of Variables The figure shows the region R bounded by the curves x² y = /x, y = /2x, y and 3' x² y 41 %3D Use the change of variables x = u/3v2/3 and y u2/3yl/3 to find the area of the region R. %3D %3D y .2 1 2. y%3D y3V2x
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