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11.) Find the arc length of the curve given by y (4on the interval [1, 81. (ome:-)3/2(4x2/3oon the interval [1, 8]. (ans: 9)Find the arc length of the curve given by x-2 (y - 1)3/2 where 16 s y s 25. (ans: 122/3)13.) Find the arc length of the curve given byyx where 1 s x 4. (ans: 8718)14.) Find the area of the surface of revolution of the region by yvx whereabout theX-axis. (ans: (1917)3where [0,2] about theFind the area of the surface of revolution of the region by yX-axis. (ans: a)15.)16,) Find the area of the surface of revolution of the region by y 2 on [o,v2] about they-axis. (ans: 13)

Question

Number 16

11.) Find the arc length of the curve given by y (4on the interval [1, 81. (ome:-)
3/2
(4x2/3o
on the interval [1, 8]. (ans: 9)
Find the arc length of the curve given by x-
2 (y - 1)3/2 where 16 s y s 25. (ans: 122/3)
13.) Find the arc length of the curve given byyx where 1 s x 4. (ans: 8718)
14.) Find the area of the surface of revolution of the region by y
vx where
about the
X-axis. (ans: (1917)
3
where [0,2] about the
Find the area of the surface of revolution of the region by y
X-axis. (ans: a)
15.)
16,) Find the area of the surface of revolution of the region by y 2 on [o,v2] about the
y-axis. (ans: 13)
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11.) Find the arc length of the curve given by y (4on the interval [1, 81. (ome:-) 3/2 (4x2/3o on the interval [1, 8]. (ans: 9) Find the arc length of the curve given by x- 2 (y - 1)3/2 where 16 s y s 25. (ans: 122/3) 13.) Find the arc length of the curve given byyx where 1 s x 4. (ans: 8718) 14.) Find the area of the surface of revolution of the region by y vx where about the X-axis. (ans: (1917) 3 where [0,2] about the Find the area of the surface of revolution of the region by y X-axis. (ans: a) 15.) 16,) Find the area of the surface of revolution of the region by y 2 on [o,v2] about the y-axis. (ans: 13)

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Step 1

If a curve y = f(x), where a ≤ x ≤ b is revolved about y axis then the area of the resulting surface is given by the below mentioned formula.

Here given curve equation y = x2 and 0 ≤ x ≤ √2.

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Step 2

y = x2. So differentiating it with respect to x we get the following

Now substituting the ...

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Tagged in

Math

Calculus

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