Parametrize the surface S.S is the lower portion of the sphere x2 + y2 + z2 = 16 cut by the cone z = 
.
What will be an ideal response?
Answers will vary. One possibility is r = 4 cos ? sin ?i + 4 sin ? sin ?j + 4 cos ?k, 
Mathematics
You might also like to view...
Provide an appropriate response.The standard normal probability density function is defined by f(x) = 
e- x2/2. (a) Use the fact that 
dx = 1 to show that 
dx =
.(b) Use the result in part (a) to show that the standard normal probability density function has variance 1.
What will be an ideal response?
Mathematics
Graph the function.f(x) = 
x3
A. 
B. 
C. 
D. 
Mathematics
Find the real or imaginary solutions by using the quadratic formula.x2 + 35 = 5x
A. {0, 5}
B. {±5}
C. 
D. 
Mathematics
Determine whether the following is a difference of squares.x2 - 81y2
A. No B. Yes
Mathematics