Parametrize the surface S.S is the portion of the cylinder x2 + y2 = 36 that lies between z = 5 and z = 8.

What will be an ideal response?


Answers will vary. One possibility is r = 6 cos ?i + 6 sin ?j + zk , 5 ? z ? 8, 0 ? ? ? 2?

Mathematics

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Find the domain and range of the function.f(x) = -2x2 - 32x - 136

A. Domain: (-?, ?); Range: (-?, 8] B. Domain: (-?, -8] ; Range: [8, ?) C. Domain: (-?, ?); Range: (-?, -8] D. Domain: (-?, -8]; Range: [0, ?)

Mathematics

Find a parametric equation of the indicated ellipse.

A. x = 6 cos t + 2, y = 3 sin t - 1 B. x = 6 cos t - 2, y = 3 sin t + 1 C. x = 3 cos t - 2, y = 6 sin t + 1 D. x = 3 cos t + 2, y = 6 sin t - 1

Mathematics

Rationalize the denominator. Simplify, if possible.

A.  + 
B.
C.  - 
D.

Mathematics

Find the measure of the missing angle in the triangle shown below. 

A. x = 90.4° B. x = 89.7° C. x = 92.1° D. x = 93.2° E. x = 88.8°

Mathematics