BLOOD FLOW The speed of blood flowing along the central axis of a certain artery is S(R) =1.8 ×105R2 centimeters per second, where R is the radius of the artery. A medical researcher measures the radius of the artery to be 1.2 ×10−2 centimeter and makes an error of 5 ×10−4 centimeter. Estimate the amount by which the calculated value of the speed of the blood will differ from the true speed if the incorrect value of the radius is used in the formula.
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