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22 November, 11:54

Nitroglycerin is often prescribed to enlarge blood vessels that have become too constricted. If the cross-sectional area of a blood vessel t hours after nitroglycerin is administered is A (t) = 0.01t2 square centimeters (for 1 ≤ t ≤ 5), find the instantaneous rate of change of the cross-sectional area 3 hours after the administration of nitroglycerin.

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  1. 22 November, 15:36
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    Answer: 0.09 square centimiters

    Step-by-step explanation:

    Hi, to answer this question we have to solve the equation for t=3 hours.

    A (t) = 0.01t2

    Since t is the time in hours, For 3 hours, we simply have to replace the value of t by the number 3.

    A (3) = 0.01 (3) ^2

    A (3) = 0.01 (9)

    A (3) = 0.09 square centimeters

    the instantaneous rate of change of the cross-sectional area 3 hours after the administration of nitroglycerin is 0.09 square centimeters

    Feel free to ask for more if needed or if you did not understand something.
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