That's a lovely algebra problem. Where's the Calculus?
"at the central axis" means r = 0
"midway" means r = R/2
Plug'n'chug.
Biologists have found that the speed of blood in an artery is a function of the distance of the blood from the artery's central axis. According to Poiseuille's law, the speed of blood that is r cm from the central acis of an artery is given by the function:
S(r)= C * (R^2 -r^2)
where C is a constant and R is the radius of the artery. Suppose that for a certain artery, C= 1.76 * 10^5 cm/sec and R = 1.2 * 10^-2 cm.
a. computer the speed of the blood at the central axis of this artery.
b. computer the speed of the blood midway between the artery's wall and central axis.
please help i'm so lost