Find the area of the surface generated by revolving the curve about the indicated axis. 36) y=V4x - x2, 0.5 sx s 1.5; x-axis

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Find the area of the surface generated by revolving the curve about the indicated axis.**

**36) \( y = \sqrt{4x - x^2} \), \( 0.5 \leq x \leq 1.5 \); x-axis**

**37) \( y = \frac{e^x + e^{-x}}{2} \), \( 0 \leq x \leq \ln 4 \); x-axis**

**38) \( x = y^3/14 \), \( 0 \leq y \leq 4 \); y-axis**
Transcribed Image Text:**Find the area of the surface generated by revolving the curve about the indicated axis.** **36) \( y = \sqrt{4x - x^2} \), \( 0.5 \leq x \leq 1.5 \); x-axis** **37) \( y = \frac{e^x + e^{-x}}{2} \), \( 0 \leq x \leq \ln 4 \); x-axis** **38) \( x = y^3/14 \), \( 0 \leq y \leq 4 \); y-axis**
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