Quarter 4_Week 1_Quiz 1

What is implicit differentiation?

• A method to calculate the derivative of explicit functions.

• A method to calculate the integral of a function.

• A method to calculate the derivative of a function using the chain rule.

When should implicit differentiation be used?

• Only when the function is expressed in terms of y.

• Only when the function is expressed in terms of x.

• When the function cannot be solved for y in terms of x.

• When the function is a polynomial.

Two cars are driving on a straight road. Car A is driving at 60 mph and car B is driving at 70 mph. If car A is 2 miles ahead of car B, how fast is the distance between the two cars changing?

• 0 mph

• 10 mph

• 60 mph

• 70 mph

A balloon is being inflated with air at a rate of 3 cubic feet per minute. How fast is the radius of the balloon increasing when the volume is 36π cubic feet?

A ladder 10 meters long is leaning against a wall. If the bottom of the ladder is being pulled away from the wall at a rate of 2 meters per second, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 6 meters away from the wall?

• 1.4 m/s

• 2 m/s

• 2.4 m/s

• 3 m/s

A conical water tank with a radius of 6 feet and a height of 10 feet is being filled with water at a rate of 3 cubic feet per minute. How fast is the water level rising when the water is 5 feet deep?

• 0.3 ft/min

• 0.5 ft/min

• 0.6 ft/min

• 0.8 ft/min

A rectangular tank with a width of 3 feet, a length of 6 feet, and a height of 4 feet is being filled with water at a rate of 2 cubic feet per minute. How fast is the water level rising when the water is 3 feet deep?

• 1/3 ft/min

• 1/2 ft/min

• 2/3 ft/min

• 1 ft/min