S = 2n x ds revolves @y-axis S = 2n y ds revolves @x-axis + (2) dx if y = f(x) ds = 1 + + ()* dx ds = if x = g(y) + (2) do 2 ds = if x = f(0) and y = g(0) de +() do if r = f(0) ds =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Show graph (with its corresponding labels) and solve for intersection points

y? = 4(x2 – a?)
Identify the surface area formed by the curve in the first quadrant of
Revolved about x= 0 from y = 0 to y =2a.
Transcribed Image Text:y? = 4(x2 – a?) Identify the surface area formed by the curve in the first quadrant of Revolved about x= 0 from y = 0 to y =2a.
S = 2n "x ds revolves @y-axis
S = 27 f" y ds revolves @x-axis
1+(2)* dx
if y = f(x)
ds =
ds =
if x = g(y)
dy
2
ds =
if x = f(0) and y = g(8)
2
ds =
if r = f(0)
Transcribed Image Text:S = 2n "x ds revolves @y-axis S = 27 f" y ds revolves @x-axis 1+(2)* dx if y = f(x) ds = ds = if x = g(y) dy 2 ds = if x = f(0) and y = g(8) 2 ds = if r = f(0)
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