Find the quadratic approximation of f at x = 0.f(x) = esin 5x

A. Q(x) = 1 + 5x + x2
B. Q(x) = 5x - x2
C. Q(x) = 1 - 5x + x2
D. Q(x) = 5x + x2

Answer: A

Mathematics

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A. - ln + C
B. -  + C
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D. - ln + C

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Express the given function as a composite of functions f and g such that y = f(g(x)).y = 

A. f(x) = , g(x) = 5x + 4
B. f(x) = , g(x) = 6
C. f(x) = , g(x) = 5x + 4
D. f(x) = 6, g(x) = 

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Describe the level surfaces for the given function.f(x, y, z) = 7x2 + 3y2 + 5z2 - 6

A. Ellipsoids B. Hyperboloids of two sheets C. Hyperbolic Paraboloids D. Hyperboloids of one sheet

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Find an antiderivative of the given function.9 csc 7x cot 7x

A. -  csc 7x
B. -  cot 7x
C.  csc 7x
D. -9 csc 7x

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