A function f has f 3 0 1 f x 3 0 2 f y 3 0 3 f xx 3 0

This preview shows page 9 out of 9 pages.

Question 8.(14 points) A functionfhasf(3,0) = 1, fx(3,0) = 2,fy(3,0) = 3,fxx(3,0) = 4,fxy(3,0) = 5andfyy(3,0) = 6.(a) (5 points) Write the equation of the tangent plane to the surfacez=f(x, y)atthe point(3,0).
(b) (4 points) Use a linear approximation to estimatef(2.
(c) (5 points) Find the second order Taylor polynomial (quadratic approximation) offabout(3,0).

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture