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66 Answered Questions for the topic Related Rates

Related Rates Math Calculus

04/15/20

Related rates problem, Find the velocity of the top of the ladder

A 20 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time 𝑡=0 and slides away from the wall at a rate of 1ft/sec. Find the velocity of the top of the ladder at... more
Related Rates Calculus Word Problem

02/13/20

calculus word problem - related rates

two people leave the same point at the same time. one walks due east at a rate of 3 miles per hour. the other one walks due north at 2 miles per hour. find the rate at which the distance between... more
Related Rates Math Calculus

01/30/20

Related Rates with shadows

On a morning of a day when the sun will pass directly​ overhead, the shadow of a 72​-ft building on level ground is 30 ft​ long, as shown in the figure. At the moment in​ question, the angle theta... more
Related Rates Calculus

12/08/19

A light is on the top of a 12 ft tall pole and a 5ft 6in tall person is walking away from the pole at a rate of 2 ft/sec.

At what rate is the tip of the shadow moving away from the pole when the person is 25 ft from the pole? At what rate is the tip of the shadow moving away from the person when the person is 25 ft... more
Related Rates Math Calculus

12/04/19

Optimization and Related Rates problem

This question uses the inverse-square law, which states that the light intensity experienced at a distance x from a light source is proportional to the luminosity of the source times x^(-2).It is... more
Related Rates Math Calculus

12/04/19

Optimization and Related Rates problem

This question uses the inverse-square law, which states that the light intensity experienced at a distance x from a light source is proportional to the luminosity of the source times x^(-2).It is... more
Related Rates Calculus

11/12/19

How to find rate of change of an area between a circle and square

a circle is inside a square. At a particular time, the radius of the circle is decreasing at a rate of 3 m/min and the sides of the square are decreasing at a rate of 2 m/min. when the radius is 3... more

10/04/19

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

04/29/19

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

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?  
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