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Calculus

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I Let F x 3 t t 40 a Find the value of a where F obtains its maximum value x dt for x b Find the intervals over which F is only increasing or decreasing Use interval notation using U for union and enter none if no interval Intervals where F is increasing Intervals where F is decreasing c Find open intervals over which F is only concave up or concave down Use interval notation using U for union and enter none if no interval Intervals where F is concave up Intervals where F is concave down

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