Parametrize the surface S.S is the portion of the sphere x2 + y2 + z2 = 81 between z = -  and z = 

What will be an ideal response?


Answers will vary. One possibility is r = 9 cos ? sin ?i + 9 sin ? sin ?j + 9 cos ?k 

Mathematics

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Integrate the function.

A. 2  + C
B. 2  + C
C.   + C
D. 2 ln  + C

Mathematics

Anne is standing on the corner tossing a coin. She decides she will toss it 12 times, each time walking 1 block north if it lands heads up and 1 block south if it lands tails up. Find the probability that she will end up in the indicated location.4 blocks south of her corner

A. 0.1933 B. 0.0625 C. 0.1208 D. 0.0537

Mathematics

Find the indicated composite for the pair of functions.Given f(x) = 4x + 6 and g(x) = 2x - 1, find (f ? g)(x).

A. 8x + 2 B. 8x + 5 C. 8x + 10 D. 8x + 11

Mathematics

Convert the capacity as indicated.12 quarts to gallons

A. 48 gal B. 6 gal C. 24 gal D. 3 gal

Mathematics