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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Determine whether the following statement is true or false.7 is a divisor of 56.
A. True B. False
Solve.0.80x - 0.30(x + 20) = 1.20(20)
A. x = 30 B. x = 60 C. x = 70 D. x = 50
Determine the name of the polygon.
A. Octagon B. Quadrilateral C. Pentagon D. Hexagon
Solve the given application problem.The stock market gained 32 points on Tuesday and lost 25 points on Wednesday. Find the difference between these changes.
A. 7 points B. -57 points C. -7 points D. 57 points