88 Answered Questions for the topic Related Rates

If x^2 y + xy^2 = 1, what is y’?

09/08/19

Related rates (Car moving towards intersection)

Suppose car A is heading south at 100 km/h and car B is heading east at 90 km/h. Both are headed for the intersection at point C. At what rate are the carsapproaching each other when car A is 64 m... more
Related Rates Calculus

05/09/19

related rates calculus

Water is leaking out of an inverted conical tank at a rate of 8900 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has... more
Related Rates Calculus

05/09/19

calculus related rates

An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 5 cm, and the height is... more

At what rate is the water level rising?

A swimming pool is 20 m long, 5 meters wide, has sides in the shape of a right triangle, and slopes downward so that it is 4 meters deep at the deep end. Water is being pumped into the pool at 2m^3... more
Related Rates Calculus Ap Calculus

04/25/19

an inverted cone is being drained of water at a rate of 30 cm^3 / min . it has a height that is 3 times its radius. how fast is the radius changing when the height of the water is 5 cm?

I’m not sure if the height zeroes out because it’s not changing. Thank you
Related Rates Algebra 1

03/09/19

URGENT HELP TO SOLVE THIS WORD PROBLEM!

water is being pumped into an inverted conical tank at a constant rate. The tank has height 30 meters and the diameter at the top is 6 meters. If the water level is rising at a rate of 0.09 meters... more
Related Rates Derivatives Calculus 1

05/22/18

Related rates - how is the area of the triangle increasing

The legs of an isoceles triangle are increasing at a rate of 16cm/s while the base of the triangle remains constant at 60cm. At what rate is the area of the triangle increasing when each leg is 50cm?
Related Rates

04/13/18

How fast is the water rising when the water level is halfway up the cup?

A paper cup in the shape of a cone has a 3 inch top diameter and is 5 inches high. Water is being poured into the cup at a rate of 0.5 cubic inch per second.

EASY - related rates question about rectangle area

A rectangle has one side of 8 cm. How fast is the area of the rectangle changing at the instant when the other side is 18 cm and increasing at 2 cm per minute?   This is how I set it... more

03/22/18

Related Rates Calculus 1

A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11... more
Related Rates Derivatives

03/18/18

related rates help please!!

A spherical balloon is being inflated so that its volume is increasing at the rate of 10cm3/sec. Find the rate at which the diameter is increasing when the diameter is 20cm?  
Related Rates Derivative

03/18/18

related rates - Find the rate at which the diameter is increasing when the diameter is 20cm?

A spherical balloon is being inflated so that its volume is increasing at the rate of 10cm3/sec. Find the rate at which the diameter is increasing when the diameter is 20cm?
Related Rates Word Problem Derivative Rates

03/17/18

Derivatives - find the rate at which the diameter is increasing when the diameter is 20cm

A spherical balloon is being inflated so that its volume is increasing at the rate of 10cm3/sec. Find the rate at which the diameter is increasing when the diameter is 20cm.
Related Rates Calculus

03/08/18

I don't understand how to do related rates?

A ladder 10 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.5 m/sec. How fast is the top sliding down... more
Related Rates Math Calculus

03/08/18

Related rates question?

Water is poured into a conical container at the rate of 10 cm3/sec. The cone points directly down, and it has a height of 25 cm and a base radius of 5 cm. How fast is the water level rising when... more
Related Rates Math Calculus Word Problem

03/08/18

Word problem help?

A balloon is at a height of 20 meters, and is rising at the constant rate of 5 m/sec. A bicyclist passes beneath it, traveling in a straight line at the constant speed of 10 m/sec. How fast is the... more
Related Rates Math Mathematics Hard To Do

03/06/18

Related Rate: Ladder Problem

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.6 ft/s, how fast is the angle between the ladder and the ground changing when... more
Related Rates Calculus

03/01/18

I need help finding the rate of change of height in this problem.

The area of an equilateral triangle is increasping at 10cm²/min. Find the rate at which the height is changing when the area is 16√3.    im super stuck. Please help :(

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