Question: Question 1 and 2 Q1 (10 points) Consider the surface S defined by z = 4 sin(x2 + y?). (a) Find the equation of the

Question 1 and 2

Q1 (10 points) Consider the surface S defined by z = 4 sin(x2 + y?). (a) Find the equation of the tangent plane to the surface S at the point (v . \\ = . 2V/2) (b) Give parametric equations for the normal line to the surface S at the point ( = . ( # . 2V/2). + Drag and drop an image or PDF file or click to browse... Q2 (7 points) Consider the vector function F(x, y, z) = (-2x3 + 4y2, 3y3.+ 8xy, = + )=) (a) Find V . F and V X F. (b) Give an example of a non-zero vector field that is irrotational. Show that your example is irrotational. (c) Give an example of a non-zero velocity vector field that is incompressible. Show that your example is incompressible

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