Find the derivative.p = 

A.  = sec2 q + 1
B.  = - csc q cot q
C.  = sec2 q
D.  = sec q tan q


Answer: C

Mathematics

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Find the gradient field F of the function f.f(x, y, z) = 

A. F = i + 2yj + 2zk
B. F = (x2 + y2 + z2)i + j + k
C. F = i + j + k
D. F = i + j + k

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Find equations for the tangent plane and the normal line to the surface with equation x² + 9y² + 9z² = 22 at the point P(2, 1, 1).

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Write the ratio as a percent.

A. 58% B. 5.8% C. 31% D. 29%

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The general term of a sequence is given. Find the indicated partial sum.a1 = 4, an = an - 1 + 6  for n ? 2;  S5

A. 80 B. 100 C. 85 D. 55

Mathematics