Medicine—Arteriosclerosis: Medical researchers studying arteriosclerosis at the Giuliani Institute have found that if the radius of an examined patient’s artery is currently one centimeter, the amount of fatty tissue called plaque that will build up in the artery can be modeled by the function
f(x) = 0.5x2(x2 + 10)−1 0 ≤ x ≤ 10
where x represents the number of years since the initial examination and f(x) represents the thickness of the artery wall in centimeters. Use the model to determine the rate of change in plaque thickness seven years after a patient was initially examined.
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