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Questions
Questions

MAT-265-OD24-02-7799

Multiple fill-in-the-blank

Maxima and Minima Graph the function Find the value of at which the given  has a local maximum. Round to the nearest hundredth. [Fill in the blank] Find the value of at which the given  has a local minimum. Round to the nearest hundredth. [Fill in the blank]

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Approach Analysis
We start by identifying the critical points of the function to locate potential local maxima and minima. Option set: The problem asks for the x-values where the given f(x) = x^3 - 4x^2 - 3x + 1 has a local maximum and a local minimum. The derivative will guide us to candidate points. 1) Compute the derivative: f'(x) = d/dx [x^3 - 4x^2 - 3x + 1] = 3x^2 - 8x - 3. 2) Find critical points by solving f'(x) = 0: 3x^2 - 8x - 3 = 0. ......Login to view full explanation

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