64 Answered Questions for the topic Related Rates

#### 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...
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20d

#### 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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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...
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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

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...
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07/12/18

#### A ballon ( in the shape of sphere) is inflated with helium at a constant rate of 125cm^3/s. Calculate the rate of increase of diameter when the volume is 2m^3.

Calculus: related rates of change

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.

04/03/18

#### 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...
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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...
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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?

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?

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.

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