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 

Mathematics

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Simplify.5x3(9x + 2)

A. 45x4 + 10x3 B. 45x + 10  C. 45x4 + 2 D. 55x3

Mathematics

Use the Leading Coefficient Test to determine the end behavior of the polynomial function.f(x) = x - 2x2 - 2x3

A. falls to the left and rises to the right B. rises to the left and rises to the right C. rises to the left and falls to the right D. falls to the left and falls to the right

Mathematics

Solve for x using an equivalent exponential expression.Find the volume of a rectangular box 7 inches by 3 inches by 9 inches.

A. 63 cu in. B. 189 cu in. C. 243 cu in. D. 441 cu in.

Mathematics

Considering the given value of t, choose the ordered pair that lies on the graph of the given pair of parametric equations.x = t2 - 6, y = t2 + 1; t = 3

A. (10, 3) B. (15, 8) C. (8, 15) D. (3, 10)

Mathematics