Assume that y = f(x) is a smooth curve on the interval[a,b] and assume that f(x) 0 for a

Chapter 6, Problem 23

(choose chapter or problem)

Assume that \(y=f(x)\) is a smooth curve on the interval \([a, b]\) and assume that \(f(x) \geq 0\) for \(a \leq x \leq b\). Derive a formula for the surface area generated when the curve \(y=f(x)\), \(a \leq x \leq b\), is revolved about the line \(y=-k(k>0)\).

Equation Transcription:

Text Transcription:

y=f(x)

[a, b]

f(x) geq 0

a leq x leq b

y=f(x)

a leq x leq b

y=-k(k>0)

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