Deck 13: Extension F: Vector Calculus

Question 1

Find an equation of the tangent plane to the parametric surface represented by r at the specified point. ;

Answer 1

Answers may vary.

Question 2

Set up,but do not evaluate,a double integral for the area of the surface with parametric equations

Answer 2

Question 3

Match the equation with one of the graphs below.

A)
B)
C)
D)

Answer 3

Question 4

Find the area of the surface S where S is the part of the surface that lies inside the cylinder

Question 5

Find the area of the surface S where S is the part of the plane that lies above the triangular region with vertices ,and