73 Answered Questions for the topic Related Rates

#### A spherical balloon is being inflated at a rate of 8pi cm^3/s At what rate is the surface area of the balloon increasing at the instant that the radius of the balloon is 1cm?

A spherical balloon is being inflated at a rate of 8pi cm^3/s At what rate is the surface area of the balloon increasing at the instant that the radius of the balloon is 1cm?

05/06/21

#### Water is draining from an inverted conical tank that has a height of 12 metres and diameter of 8 metres.

a) As the water is draining out, the depth of the water, h, in the conical tank is decreasing at a rate of(h – 12) m/minute. At what rate is the volume of the water in the conical tank changing...
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03/01/21

#### How do you solve this pesky related rates problem? (Daily Supply)

Hi. I am stuck trying to solve this problem:In a certain market, x thousand crates of apples are supplied daily. Each crate costs p dollars, and the supply equation ispx - 20p - 3x + 105 = 0.If the...
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Related Rates Calculus

02/09/21

#### Kanto market is supplied n thousands of crates of dalandan daily when it is sold at p pesos per crate and the supply equation is...

pn - 3p - 100n - 100 = 0If the daily supply is decreasing by 250 crates per day, at what rate is the price changing when the daily supply is 5000 crates?

Related Rates Calculus

02/06/21

#### [CALCULUS RELATED RATES] A supplier produces n thousand boxes of orange daily when it is sold at p dollars per box. Suppose the relationship between n and p is (continuation in description)

A supplier produces n thousand boxes of orange daily when it is sold at p dollars per box. Suppose the relationship between n and p is; pn-3p-100n-100=0If the daily supply is decreasing by 250...
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02/05/21

#### Calculus problem for my youngest son!

A store is given n thousands of crates of lemons daily when it is sold at c pesos per crate and the supply equation iscn - 3c - 100n - 100 = 0If the day by day supply is diminishing by 250 crates...
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Related Rates Calculus

07/30/20

#### the volume of spherical tumor is observed to be decreasing at a rate of 2 cubic centimeters per month when the radius is 5 centimeters. at what rate is the radius of the tumor decreasing?

the volume of a sphere is this formula(V=4/3pir^3)

#### 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...
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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...
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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...
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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...
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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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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...
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Related Rates Calculus

11/12/19

#### Sand is pouring out At 70 m3 per hour and is forming a conical pile on the ground the height is always 1/2 of the radius when the pile has a radius of 20 m the radius is increasing at a rate of

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...
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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...
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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...
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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

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...
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