The flow of blood in a blood vessel is faster toward the center of the vessel and slower toward the outside. The speed of the blood V, in millimeters per second (mm/sec), is given by the following formula:
V = p / (4Lv) * (R^2 - r^2)
where R is the radius of the blood vessel, r is the distance of the blood from the center of the vessel, and p, L, and v are physical constants related to pressure, length, and viscosity of the blood vessels, respectively. Assume that r is a constant as well as p, L, and v.
Complete parts (a) and (b) below:
a) Find the rate of change dV/dt in terms of R and dR/dt when L = 80 mm, p = 400, and v = 0.003. Select the correct answer below and fill in the answer box to complete your choice.