A company wants to produce a rectangular box with a square base and a volume of 1000 cubic centimeters. What dimensions will minimize the surface area of the box?

A rocket is launched vertically from the ground with an initial velocity of 100 m/s. If the acceleration due to gravity is -9.8 m/s^2, what is the maximum height the rocket will reach?

A population of bacteria grows exponentially with a growth rate of 0.5 per hour. If the initial population is 1000, what will be the population after 10 hours?

A farmer has 100 meters of fencing to enclose a rectangular area. What dimensions will maximize the area of the enclosure?

A car is traveling at a constant speed of 60 mph. If the driver applies the brakes and decelerates at a constant rate of 10 mph/s, what is the distance the car travels before coming to a complete stop?

A company wants to design a cylindrical can with a volume of 1000 cubic centimeters. What dimensions will minimize the surface area of the can?

A spherical balloon is being inflated with air. If the radius of the balloon is increasing at a rate of 2 cm/s, how fast is the volume of the balloon increasing when the radius is 10 cm?

A company wants to manufacture a rectangular box with an open top. The box must have a volume of 32 cubic feet. What dimensions will minimize the surface area of the box?

A water tank has the shape of an inverted cone with a height of 10 meters and a radius of 5 meters at the top. If water is flowing into the tank at a rate of 2 cubic meters per minute, how fast is the water level rising when the water is 2 meters deep?

A company wants to design a rectangular box with a square base and a volume of 64 cubic inches. What dimensions will minimize the surface area of the box?

A rocket is launched vertically from the ground with an initial velocity of 150 m/s. If the acceleration due to gravity is -9.8 m/s^2, what is the maximum height the rocket will reach?

A population of rabbits grows exponentially with a growth rate of 0.75 per year. If the initial population is 1000, what will be the population after 5 years?

A farmer has 200 meters of fencing to enclose a rectangular area. What dimensions will maximize the area of the enclosure?

A car is traveling at a constant speed of 70 mph. If the driver applies the brakes and decelerates at a constant rate of 15 mph/s, what is the distance the car travels before coming to a complete stop?

A company wants to design a cylindrical can with a volume of 500 cubic centimeters. What dimensions will minimize the surface area of the can?