Find the relative maximum and minimum values and the saddle points if they exist.f(x, y) = 4xy

A. No relative extrema or saddle points
B. Relative maximum = 8, relative minimum = -4
C. Saddle point = (0, 0)
D. Relative minimum = -100, saddle point = (0, 0)


Answer: C

Mathematics

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Express the integrand as a sum of partial fractions and evaluate the integral.dx

A. ln  -  tan-1  + C
B. ln  -  + C
C. -  tan-1  -  + C
D. ln  -  tan-1  -  + C

Mathematics

The given graph represents a translation of the graph of y = x2. Write the equation of the graph.

A. y = x2 - 4 B. y = (x - 4)2 + 1 C. y = (x - 4)2 D. y = (x + 4)2

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For the given functions f and g, find the requested composite function value.f(x) = 2x + 4, g(x) = 2x2 + 1;Find (f ? g)(2).

A. 163 B. 20 C. 22 D. 129

Mathematics

Find the indicated composition.f(x) = 2; g(x) = 9x + 12Find (f ? g)(x).

A. (f ? g)(x) = 2
B. (f ? g)(x) = 2
C. (f ? g)(x) = 2 + 5
D. (f ? g)(x) = 18 + 12

Mathematics