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anonymous
 4 years ago
Let f(x0=x^3+Ax^2+Bx15 be a function whose graph has a maximum at x=2 and a point of inflection at x=3. Find the values of A and B?
anonymous
 4 years ago
Let f(x0=x^3+Ax^2+Bx15 be a function whose graph has a maximum at x=2 and a point of inflection at x=3. Find the values of A and B?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[f(x)=x^3+Ax^2+Bx15\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sorry i miss read that.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0OKay so how do we find the maxima of a polynomial?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Am I suppose to plug something in?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So I plug the two into the original function right? Then plug the 3 into the second derivative?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Do you know what is inflection point and critical points?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Critical values are the zeros of the 1st dervivative and inflection points are the zeros of the 2nd derivative?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes for the first but for the second that is only necessary condition but not sufficient condition.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0One also needs the lowestorder nonzero derivative to be of odd order (third, fifth, etc.). If the lowestorder nonzero derivative is of even order, the point is not a point of inflection.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So what do I need to do? I'm confused now

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0If I haven't made any error then \( A=9 \) and you can find B accordingly :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ignore my second last comment if it confuses you. Plug in x=3 in f''(x)=0 and then x=2 in f'(x)=0

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0aha! I understand thanks!! :)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0okay last one please?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[Let f(x)=5^1/3+x^2.For what values of x does the instantaneous rate of chnage equal when the rate of change is 3.119?\]
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