11. Obtain the moment of the area with respect to the y-axis of the area bounded by the parabola x = 4y - y² and y = 2x

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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  1. Graph the curves and identify the region. If points of intersection are not given, solve it.
  2. Show the axis at which we are measuring the moment with respect to
  3. Identify what place of the rectangular strip is to be presented (horizontal or vertical strip).
11. Obtain the moment of the area with respect to the y-axis of the area bounded by the parabola
x = 4y - y² and y = 2x
Transcribed Image Text:11. Obtain the moment of the area with respect to the y-axis of the area bounded by the parabola x = 4y - y² and y = 2x
Vertical Strip
My =
y
Mx =
Horizontal
M₁ =
y
2 Ja
nd
M₂ =
x(yu - y₁) dx
(vu - y₁) dx
Strip
(x²-x²) dx
y(xRx) dx
Transcribed Image Text:Vertical Strip My = y Mx = Horizontal M₁ = y 2 Ja nd M₂ = x(yu - y₁) dx (vu - y₁) dx Strip (x²-x²) dx y(xRx) dx
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