2. 4.2.009 Consider the following function Find f-8) and (8). K-8) Find all valu
ID: 2886499 • Letter: 2
Question
2. 4.2.009 Consider the following function Find f-8) and (8). K-8) Find all values c in (-8, 8) such that f(c) - o. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Based off of this O This contradicts Rolle's Theorem, since f is differentiable, (-8) f(8), and f(c) 0 exists, but c is not in (-8, 8). O This does not contradict Rolle's Theorem, since (o)-o, and O is in the interval (-8, 8) O This contradicts Rolle's Theorem, since K-8)-r8), there should exist a number c in (-8, 8) such that ftc) = 0. o This does not contradict Rolle's Theorem, since f00) does not exist, and so fis not differentiable on (-8, 8). Nothing can be concluded Need Help? Redit Watch Talh to Tutor 4.2.011 Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? rx) = 3x2-2x+1, [0, 2]Explanation / Answer
f(x) = 4-x^(2/3)
f(-8) = 4- (-8)^(2/3) = 4-(4)=0
f(8) =4- (-8)^(2/3) =0
So, both is 0
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Find derivative as
f'(x) = -2/(3*x^(1/3))
Using Rolle's Theorem
f'(c) = 0
-2/(3*c^(1/3)) =0
c= DNE
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