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
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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
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
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
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