Find the rate of change of the radius of a spherical balloon when its volume changes at a specified rate.

Maximize the revenue of a product while its price is constrained.

Maximize the profit of a product while the price of the product and the cost of production are constrained.

Maximize the volume of a cylinder while its dimensions are constrained.

Minimize the surface area of an open-top box while its volume is constrained.

Minimize the surface area of an open-top box while its volume if constrained.

Maximize the volume of a box while the sum of its length and girth is constrained.

Minimize velocity when the velocity equation is fixed.

Minimize the distance between a line and a point while the equation of the line and the point are fixed.

Minimize the sum of the square of two real numbers while their product is constrained.