Solve the problem.If f(x) is a differentiable function and f ' (c) = 0 at an interior point c of f's domain, and if 
for all x in the domain, must f have a local minimum at x = c? Explain.
What will be an ideal response?
Yes. The point x = c is either a local maximum, a local minimum, or an inflection point. But, since 
for all x in the domain, there are no inflection points and the curve is everywhere concave up and thus cannot have a local maximum. Hence, there is a local minimum at x = c.
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Evaluate the spherical coordinate integral.
A. 
?2
B. 
?2
C. 
?2
D. 
?2
Match the function f with its graph.f(x) = log2(x + 4)
A. 
B. 
C. 
D. 
Evaluate.7x + 8 for x = -2
A. -6 B. -22 C. 6 D. 22
Find parametric equations for the line described below.The line through the points P(-1, -1, -1) and Q(-6, 7, 3)
A. x = t + 5, y = t - 8, z = -1t - 4 B. x = t - 5, y = t + 8, z = -1t + 4 C. x = -5t - 1, y = 8t - 1, z = 4t - 1 D. x = -5t + 1, y = 8t + 1, z = 4t + 1