Parametrize the surface S.S is the portion of the sphere x2 + y2 + z2 = 16 between z = - 2
and z = 2
.
What will be an ideal response?
Answers will vary. One possibility is r = 4 cos ? sin ?i + 4 sin ? sin ?j + 4 cos ?k, 
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How many permutations does a combination lock have if each combination has three numbers, no two numbers of any combination are equal, and the lock has 25 numbers?
A. 13,806 B. 13,757 C. 13,797 D. 13,800
Find the area enclosed by the given curves.Find the area of the region between the curve y = 4x/(1 + x2) and the interval 
of the x-axis.
A. ln 10 B. 4 e10 C. 0 D. 4 ln 10
Provide an appropriate response.A pipe tapers 0.75 cm for every 30 cm of length. Use a constant of direct variation to determine the amount of taper of a 145 cm length.
A. 3.625 cm B. 4.83 cm C. 56.25 cm D. 40 cm
Provide an appropriate response.Show that 1000two = 10eight.
What will be an ideal response?