Find the indicated value of the given function. f(x) =
, f(3)
A.
B.
C.
D.
Answer: B
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Find the indicated sum. Find the sum of the first 10 terms in the geometric series +
+
. . .
A. -
B. -
C.
D.
Find all the second order partial derivatives of the given function.f(x, y) = cos xy2
A. fxx(x, y) = y2 sin xy2; fyy(x, y) = 2[2y2 cos (xy2) - sin (xy2)] ; fyx(x, y) = fxy(x, y) = 2y[y2 cos (xy2) - sin (xy2)]
B. fxx(x, y) = -y4 cos xy2; fyy(x, y) = - 2x[2xy2 cos (xy2) + sin (xy2)]; fyx(x, y) = fxy(x, y) = - 2y[xy2 cos (xy2) + sin (xy2)];
C. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2[ sin (xy2)- 2y2 cos (xy2)] ; fyx(x, y) = fxy(x, y) = 2y [sin (xy2)-y2 cos (xy2)]
D. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2y; fyx(x, y) = fxy(x, y) = 2
Determine whether the sequence defined by converges or diverges. If it converges, find its limit. Select the correct answer.
Solve. = 8
A.
B. ?
C.
D.