Please help solve BOTH Question 8 and Question 9 please. It\'ll greatly be appre

Question

Please help solve BOTH Question 8 and Question 9 please. It'll greatly be appreciated! Thank you!

Find parametric equations for the surface obtained by rotating the curve y = e-x, 0 le x le 6, about the x-axis and use them to graph the surface. (Do this on paper. Your instructor may ask you to turn in this work.) x = u y = e-u cos(v) z = 0 le v le 2 pi Find an equation of the tangent plane to the given parametric surface at the specified point. If you have software that graphs parametric surfaces, use a computer to graph the surface and the tangent plane. r(u, v) = uv i + usm(v) j + vcos(u) k u = 0, v = pi

Explanation / Answer

1.As we are rotating about x axis. for every x ,the sum the squares of y coordinate and z coordinate should give e^-x => z=e^-u sin v as 0

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