Set up the integrals for the area of the surface obtained by rotating the curve about the x-axis and y-axis within the interval . Evaluate the integral of the surface areas using your calculator correct to four decimal places.
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a. Set up an integral for the area of the surface obtained by rotating the curve about
i. the -axis and
ii. the -axis
b. Use the numerical integration capability of a calculator to evaluate the surface areas correct to four decimal places.
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(a) Set up an integral for the area of the surface obtained by rotating the curve about (i) the x-axis, (ii) the y-axis.
(b) Use the numerical integration capability of a calculator to evaluate the surface area correct to four decimal places.
Consider the parametric equations below. x = t sin(t), y = t cos(t), 0 ⤠t ⤠Ï/6 Set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis.
Use your calculator to find the surface area correct to four decimal places.
