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 a 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 = 1.32 times 10^5, R = 1.3 times 10^-2, and dR/dt = 1.0 times 10^-5. (Round your answer to 4 decimal places.) S = C(R^2 - r^2) dS/dt =

dS/dt ≈ 0.0343

Step-by-step explanation:

We are given;

C = 1.32 x 10^(5)

R = 1.3 x 10^(-2)

dR/dt = 1.0 x 10^(-5)

The function is: S = C(R² - r²)

We want to find dS/dt when r is constant.

Thus, let's differentiate since we have dR/dt;

dS/dR = 2CR

So, dS = 2CR.dR

Let's accommodate dt. Thus, divide both sides by dt to obtain;

dS/dt = 2CR•dR/dt

Plugging in the relevant values to get;

dS/dt = 2(1.32 x 10^(5))x 1.3 x 10^(-2) x 1.0 x 10^(-5)

dS/dt = 3.432 x 10^(-2)

dS/dt ≈ 0.0343

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d