(Geometry and Calculus) Imagine dripping water on a flat table so that the resulting puddle expands circularly. We can describe the change in area by the change in radius as dA/dr =2r where A is the area of the puddle and r is its radius. (a) Before doing any math, examine the equation of dA/dr . Does that look familiar? (b) Determine an equation for A realizing A =0 when r =0 (ie. A(0)=0). (c) Does the resulting equation for A look familiar? (Think back to geometry of the problem.)