Solve. 4) Find the surface area of the cone frustum generated by revolving the line segment y = (x/5) + (1/5) 1 s x s 4 , about the x-axis. %3D

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Solve.**

4) Find the surface area of the cone frustum generated by revolving the line segment \( y = \frac{x}{5} + \frac{1}{5} \) for \( 1 \leq x \leq 4 \), about the x-axis.

A) \(\frac{22}{25} \pi \sqrt{26}\)

B) \(\frac{22}{5} \pi \sqrt{26}\)

C) \(\frac{21}{5} \pi \sqrt{26}\)

D) \(\frac{21}{25} \pi \sqrt{26}\)
Transcribed Image Text:**Solve.** 4) Find the surface area of the cone frustum generated by revolving the line segment \( y = \frac{x}{5} + \frac{1}{5} \) for \( 1 \leq x \leq 4 \), about the x-axis. A) \(\frac{22}{25} \pi \sqrt{26}\) B) \(\frac{22}{5} \pi \sqrt{26}\) C) \(\frac{21}{5} \pi \sqrt{26}\) D) \(\frac{21}{25} \pi \sqrt{26}\)
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