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Suppose the velocity of a car (in mph) driving out of Houston at t (in miles)...

Suppose the velocity of a car (in mph) driving out of Houston at t (in miles) is given by v(t) = t^2 + 2t − 35 where the domain is 0 ≤ t ≤ 10. (a)

(a)Find the time interval (within the domain) where the velocity is negative either algebraically or by sketching the graph. For your final answer, you can use the inequality notation such as 0 ≤ t ≤ 10 or an interval notation such as [0, 10].

(b) (4 points) Based on your information from Part (a), find the total distance in miles the car traveled.

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