Answer Happy

a) (3 points) Let /(r,y)=2*cos(r). Compute the cartesian equation of the tangent
plane to f(r, y) at the point («/2, 1).
(b) (2 points) Let f(r,y) = Icos(y) for 0<1<2 and 0 < y< x.
Draw the intersection
between the surface f(I,y) and the plane y:
=I
(c) (1 point) f(r,y) = Ice(y) for 0 < 1 < 2 and 0 ≤ y < Ar. Draw the level curve
f(I,y) =
2
EXERCISE 5 (6/32) (a) (3 points) Let f(x,y) = cos(1). Compute the cartesian equation of the tangent plane to f(x,y) at the point (r/2, 1). (b) (2 points) Let f(z,y)=zcos(y) for 0≤ ≤2 and 0 ≤ y ≤. Draw the intersection between the surface f(x,y) and the plane y=x. (e) (1 point) f(x,y) = cos(y) for 0≤ ≤2 and 0 ≤ y ≤ 4r. Draw the level curve f(x,y)=2.