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The speed S of blood that is r centimeters from the center of an
artery is given below, where C is a constant, R is the radius of
the artery, and S is measured in centimeters per second.
Suppose a drug is administered and the artery begins to dilate at
a rate of dR/dt. At a constant distance r, find the rate at which S
changes with respect to t for C = 1.71 105, R = 1.4 10-2, and
dR/dt = 1.0 10-5. (Round your answer to 4 decimal places.)
S = C(R2 − r2)
dS/dt=???????/

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  • 1. The speed S of blood that is r centimeters from the center of an artery is given below, where C is a constant, R is the radius of the artery, and S is measured in centimeters per second. Suppose a drug is administered and the artery begins to dilate at a rate of dR/dt. At a constant distance r, find the rate at which S changes with respect to t for C = 1.71 105, R = 1.4 10-2, and dR/dt = 1.0 10-5. (Round your answer to 4 decimal places.) S = C(R2 − r2) dS/dt=???????/