Assignment:
Q1. Let A be the area of a circle of radius r that is changing w/ respect to time. if dr/dt is a constant, is dA/dt a constant, explain.
Q2. Let V be the volume of a sphere of radius r that is changing w/ respect to time. If dr/dt is constant, is dV/dt constant, explain.
Q3. All edges of a cube are expanding at a rate of 3 centimeters per second. How fast is the volume changing when each edge is a.) 1 centimeter b.) 10 centimeters?
Provide complete and step by step solution for the question and show calculations and use formulas.