2. Find the absolute maximum and minimum values of f(x)= x³ – 3x +1 over the interval [0, 3].

Q: Let f(x)= 3x(x-1)2 be a function defined on the interval [1,∞). Find the solution to f(x)= 78.

A: Given, f(x)= 3x(x-1)2 be a function in [1,∞). We need to find the solution to the equation f(x)= 78

Q: Consider the function f(x) = (x² – 2x)3. Find the absolute 1/3 maximum and absolute minimum values…

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Q: determine the value of the parameter a that will make the function f(x) = [ax+1, x- -1

A: The given function is fx=ax+1,    x<-1x2-3,     x>-1 To find: Value of parameter a

Q: b- Determine the critical point of the function f(x) = x5 – 5x* + 5x³ –- 1 %3D

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Q: Find the absolute maximum and absolute minimum of the function f(r) =r² - 8z+7 over [1, 8].

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Q: Find the local maximum and minimum values of the function f (z) = z+ 4/I-z.

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Q: attained by the func x 2) in the interva

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Q: | Find the minimum point for the function f(x) =1 + 12x – 4x (2,-7) (0, 1) Oa.9) (1, 9) O (-1, -7)

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Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval (0, 4]|

A: The absolute vale in the interval [0,4] for f(x) will be either at critical points or at end points.

Q: identify the coordnates of any local maximum or minmum values of the function y=(x+3)2/ e2x

A: y=(x+3)2/ e2x Or, y = (x+3)2e-2x We need to find it's derivative and equate the same to zero.

Q: Find the absolute maximum value of f(x) = x² – 2x + 12 over the interval [0, 5]

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