Parametrize the surface S.S is the portion of the sphere x2 + y2 + z2 = 64 between z = - 4 and z = 4.

What will be an ideal response?


Answers will vary. One possibility is r = 8 cos ? sin ?i + 8 sin ? sin ?j + 8 cos ?k 

Mathematics

You might also like to view...

Solve the problem.The variable s is proportional to t, and s = 25 when t = 100. Determine t when s = 50.

A. 4 B. 200 C. 250 D. 190

Mathematics

Evaluate the cylindrical coordinate integral.

A.
B.
C.
D.

Mathematics

Solve the equation.-8.3 = y + 3.7

A. 12 B. 4.6 C. -12 D. -4.6

Mathematics

Find the LCD for the rational expression.

A. 3(3x - 1) B. (3x - 1)(3x + 6) C. 3(3x - 1)(3x + 6) D. 3(3x - 1)(x + 2)

Mathematics