ASK YOUR TEACHER Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x3 + x − 9, [0, 2]

Yes

Step-by-step explanation:

The Mean Value Theorem states that if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that

Given

f(x) is defined, continuous and differentiable.

Therefore:

Since c is in the given interval, the function satisfy the hypotheses of the Mean Value Theorem on the given interval.

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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-2

7 - 9 = -2

reversed:

-2 + 9 = 7