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a) The function f(x)=ax^2+8x+b, where a and b are constants, has a local maximum at the...

a) The function f(x)=ax^2+8x+b, where a and b are constants, has a local maximum at the point (2,15). Find the values of a and b.

b) if b is a positive constand and x> 0, find the critical points of the function g(x)= x-b ln x, and determine if this critical point is a local maximum using the second derivative test.

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