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Set Up an Integral for the Area of the Surface xy=4,2y3;yx y = 4,2 \leq y \leq 3 ; y

Question 178

Multiple Choice

Set up an integral for the area of the surface generated by revolving the given curve about the indicated axis.
- xy=4,2y3;yx y = 4,2 \leq y \leq 3 ; y -axis


A) 8π231y1+4y4dx8 \pi \int _ { 2 } ^ { 3 } \frac { 1 } { y } \sqrt { 1 + 4 y ^ { - 4 } } d x
B) 8π231y1+16y4dx8 \pi \int _ { 2 } ^ { 3 } \frac { 1 } { y } \sqrt { 1 + 16 y ^ { - 4 } } d x
C) 4π231y1+4y4dx4 \pi \int _ { 2 } ^ { 3 } \frac { 1 } { y } \sqrt { 1 + 4 y ^ { - 4 } } \mathrm { dx }
D) 4π231y1+16y4dx4 \pi \int _ { 2 } ^ { 3 } \frac { 1 } { y } \sqrt { 1 + 16 y ^ { - 4 } } \mathrm { dx }

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