Consider the following function f(x) = - 3x? + 5x – 2 where r E (-, +0) Find the following: (a) The intervals of increase and decrease. (b) The local minimums and local maximums.

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Q: Find the absolute maximum value of f(x) = x² - 2x +9 over the interval [0, 5] |

A: Given problem:- Find the absolute maximum value of f(x) = x2 - 2x + 9 over the interval [0,5]

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A: We can find the absolute maximum value using the application of derivative as below.

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A: see attached file for a detailed solution.

Q: Q1- Find any local maximum and local minimum values and sketch the curve: x? + 1 f(x) = x2. - 1

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A: Topic:- application of derivatives

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Q: Find the absolute maximum value of f(x) = x2 – 2x + 18 over the interval [0, 5]

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Q: Find the absolute maximum value of f(x) = x? – 2x + 5 on the interval [0,4]. -

A: Given data   The given function is f(x)=x2-2x+5. The given interval is [a,b]=[0,4].   The…