(a) Find an equation of the tangent plane at the point (4, -2, 1)to the parametric surface...

Question:

(a) Find an equation of the tangent plane at the point (4, -2, 1)to the parametric surface S given by r(u, v) = v2 i - uv j + u2 k 0 < u < 3, -3 < v < 3

(b) Use a computer to 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) Ifx? .2 z? i+ 1 + x? F(x, y, z) y? -k 1 + z? = I+ y2j + 2. find ∫∫S F • dS correct to four decimal places.


Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: