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(Solved): Consider the function f(x)=x^(3)-2x^(2)+8x. (a) Is f continuous on the interval -3,2 and differentia ...



Consider the function

f(x)=x^(3)-2x^(2)+8x

. (a) Is

f

continuous on the interval

-3,2

and differentiable on the interval

(-3,2)

? Explain your reasoning in words. (b) Using the results from (a), show there exists some real number

c

in the interval

(-3,2)

such that

f^(')(c)=17

. Clearly state your answer in words. (c) Find the value(s) of

c

from part (b).

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