In each part, use the idea in Exercise 53(a) to derive a formulafor the stated surface

Chapter 11, Problem 54

(choose chapter or problem)

In each part, use the idea in Exercise \(53(a)\) to derive a formula for the stated surface of revolution.

(a) The surface generated by revolving the curve \(x=f(y)\) in the xy-plane about the y-axis.

(b) The surface generated by revolving the curve \(y=f(z)\) in the yz-plane about the z-axis.

(c) The surface generated by revolving the curve \(z=f(x)\) in the xz-plane about the x-axis.

Equation Transcription:

53(a)

x = f(y)

y = f(z)

z = f(x)

Text Transcription:

53(a)

x = f(y)

y = f(z)

z = f(x)

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