I'm not quite sure how to approach this question, could someone help me out here? It asks;
A certaing brand of medicine tablet is in the shape of a sphere with diameter 5mm. Ther rate at which the pill dissolves is dr/dt = -k, where r is the radius of the sphere at time t hours, and k is a positive constant.
a) Show that r = 5/2 - kt
b) If the pill dissolves completely in 12 hours, find k.
A certaing brand of medicine tablet is in the shape of a sphere with diameter 5mm. Ther rate at which the pill dissolves is dr/dt = -k, where r is the radius of the sphere at time t hours, and k is a positive constant.
a) Show that r = 5/2 - kt
b) If the pill dissolves completely in 12 hours, find k.