(a) Find an equation of the tangent plane at the point (4, −2, 1) to the parametric surface S given by

(b) Graph the surface S and the tangent plane found in part (a).

(c) Set up, but do not evaluate, an integral for the surface area of S.

(d) If

use a computer algebra system to find ∫∫_S F · dS correct to four decimal places.

Transcribed Image Text:

r(u, v) = v² i – uvj + u²k 0