The curve C is given as y = 1/2x 2 . a. Show that the surface area

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The curve C is given as y = 1/2x2.

a. Show that the surface area of revolution of the curve about the x-axis from x = 0 to x = I is


b. Using the substitution x= tan 0, or otherwise, show that the surface area of revolution can then be written as


c. Hence, find the surface area of revolution.

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