Suppose that 4 < f'(x) < 5 for all values of x. What are the minimum and maximum possible values of f(8) – f(3)? - < F(8) – f(3) s

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A: We find the critical numbers by solving f'(x)=0

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A: Here we will apply first derivative and equate it to 0 to get the critical points and then apply…

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Q: Find the absolute minimum value of f(x) = + 2 In x + 5 for - < x < 5.

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A: The answer is 'YES' Let see how it is YES in next step.

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Q: . Determine the upper bound on the error in the approximation: x2sinx3 x. - if x|<0.8 6.

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Q: 4. In f(x) = {1– x² if -1sxs 1. Is the function continuous at x=1? Prove. (x² – 1 if x > 1

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Q: Find the critical points of f(x)= (x 2-3)ex

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Q: 12 11. Find the critical points of f(x) 4x? ). Then use the Second Derivative Test to determine if…

A: Here, we need to find the critical points of f(x)=x127x3-4x2. Now, f'(x)=6x2x-10xx and…

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Q: ve maximum or

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A: Let's find.

Q: 1. If f:(0, 3) → R is continuous, must its range be an open (possibly infinite) interval?

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Q: Suppose we know that f(x) is continuous and differentiable on the interval (-7,0], that f(-7)=-3 and…

A: fx is continuous and differentiable function on the interval -7, 0, f-7=-3 &amp; f'x≤2.

Q: 2) Find the absolute minimum value on (0,∞ ) for 4 f(x)= 5+x+

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Q: Find all critical points for the function f(x) = (z² – 4) . %3D

A: To find the critical points of f(x), find the derivative of f(x) and equate it to zero.