Provide an appropriate response.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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Integrate the function.
A. 
+ 
ln 
+ C
B. 
+ 
ln 
+ C
C. 
+ 
ln 
+ C
D. 
+ 
ln 
+ C
Assume that, at a certain college, 33% of all physics majors belong to ethnic minorities. Given a random sample of 10 physics majors, find the probability of the indicated event. Round your answer as appropriate.Only the first 2 and the last 2 belong to an ethnic minority.
A. .00107 B. .1089 C. .09046 D. .01186
Use a calculator to find the value of the expression rounded to two decimal places.tan-1 (0.6)
A. 0.54 B. 1.03 C. 30.96 D. 59.04
Translate to an equation and solve.6% of 19,302 is what number?
A. 11,581.2 B. 115.812 C. 1158.22 D. 1158.12