Use the Ratio Test to determine if the series converges or diverges.
A. Converges
B. Diverges
Answer: A
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Find the volume of the indicated region.The region bounded by z = 7x sin xy over the rectangle 0 ? x ? ?, 0 ? y ? 1
A. ?
B. 
C. 7?
D. 7? - 7
Find the length of the curve.y = 
, 3 ? x ? 6
A. 
B. 9
C. 18
D. 27
Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5
A. fxx(x, y) = 2yex2; fyy(x, y) = 2x; fyx(x, y) = fxy(x, y) = 2xex2 B. fxx(x, y) = 2yex2; fyy(x, y) = 2x; fyx(x, y) = fxy(x, y) = 2y + 2xex2 C. fxx(x, y) = yex2(1 + 2x2); fyy(x, y) = x; fyx(x, y) = fxy(x, y) = y + xex2 D. fxx(x, y) = 2yex2(1 + 2x2); fyy(x, y) = 2x; fyx(x, y) = fxy(x, y) = 2y + 2xex2
Find the value for the function.Find f(-x) when f(x) = 3x2 + 2x - 2.
A. 3x2 - 2x + 2 B. -3x2 - 2x + 2 C. -3x2 - 2x - 2 D. 3x2 - 2x - 2