73 Answered Questions for the topic Related Rates

Related Rates

03/17/16

#### a spherical balloon is being in being inflated at a rate of 3cm^3/s. how fast is the radius increasing when the radius of the balloon is 4cm?

It is about related rates, in the shape of a balloon

Related Rates

03/02/16

#### related rates

A person is 8 meters away from a road and there is a car that is initially 800 meters away approaching the person at a speed of 45 m/sec. At what rate is the distance between the person and the car...
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Related Rates Calculus 1

10/26/15

#### i need to solve this using related rates.

A boat is pulled in to a dock by a rope with one end attached to the front of the boat and the other end passing through a ring attached to the dock at a point 6 ft higher than the front of the...
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10/18/15

#### Calculus help for related helps please!!! :)

A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It's light is making 3 revolutions per minute. It is found that the beam of light is...
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Related Rates

10/16/15

#### Related Rates Questions! Need Help!!

Two trains leave a station at the same time. One travels north on a track at 70 mph. The second travels east on a track at 97 miles per hour. How fast are they traveling away from one another in...
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07/21/15

#### Related Rates

A child's balloon rises into the air at a rate of 2.5 ft/sec. The child runs over to his mom (5.75 feet from where he lost it) and watches the balloon ascend into the sky. How fast is the angle of...
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07/21/15

#### Related Rates Question

My circular swimming pool has a 30 foot diameter and is 6 feet tall. The flow rate from my spigot into the pool is about 1.84 feet per minute. How fast is the water level, h, rising at the moment...
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07/07/15

#### What is The actual speed (along the road) of the red car for the measurement feet per second?

A police car is located 30 feet to the side of a straight road.A red car is driving along the road in the direction of the police car and is 210 feet up the road from the location of the police...
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07/07/15

#### What is The rate of change of the area enclosed between the circle and the square

A circle is inside a square.The radius of the circle is decreasing at a rate of 3 meters per minute and the sides of the square are increasing at a rate of 4 meters per minute.When the radius is 5...
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07/07/15

#### Find the rate at which the water level is rising when the water level is 2 cm

An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is...
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Related Rates Calculus

06/20/15

#### Cylindrical Tin

The volume of a cylindrical tin can with a top and bottom is to be 16π cubic inches. If a minimum amount if tin is to be used to construct the can, what must be the height, in inches, of the can?

Related Rates Caclulus

06/14/15

#### An inverted pyramid is being filled

An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8 cm, and the height is...
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05/11/15

#### Sand falls from a conveyer belt at a rate of 15m^3/min. How fast is the height changing when the pile is 2m high?

This is a related rates problem using cones. I am in Calculus.

Related Rates

03/09/15

#### At what rate is water pouring into a rectangular bathtub with base 13 ft2 if the water level rises at a rate of 4 ft/min?

The answer must be in feet cubed per min

Related Rates Calculus 1

03/02/15

#### related rates?

James is flying a kite 300 ft above ground. A wind gust carries the kite horizontally away from james at a rate of 25ft per second. How fast must james let the string out when the kite is 500ft...
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01/31/15

#### Related Rates

A lighthouse is located on a small island 3km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute.
How fast is the beam of light moving along...
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12/17/14

#### Related Rates

Label the diagram and given information, model with an equation, differentiate and evaluate. Then answer the question with correct units. A coffee pot that has the shape of a circular cylinder of...
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12/14/14

#### Calculus Triangle Related Rate

So I have a problem where there is a right triangle with the height (4500ft) and the rate at which the angle is changing (pi/180radians per second) and I need to find the ground speed.
I figured...
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Related Rates Calculus

11/19/14

#### Related rates:Let V be the volume of a cylinder having height h and radius r, and assume that h and r vary with time

Let V be the volume of a cylinder having height h and radius r, and assume that h and r vary with time
a.) how are dV/dt, dh/dt, and dr/dt related?
dv/dt= f(r,h)dh/dt+g(r,h)=dr/dt, where f(r,h)=?...
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10/07/14

#### Using derivatives and related rates in calculus?

"Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing two hours later?"
This...
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10/02/14

#### Business Calc Question!!!!

Suppose the quantity demanded weekly of Super Titan radial tires is related to its unit price by the equation, p+x^2 =144 where p is unit price measured in dollars and x is measured in units of a...
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Related Rates

04/13/14

#### Can someone help me with a related rates problem please?

An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled in, the circular containment area shrinks. If the radius of the area decreases at a constant rate...
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Related Rates

03/09/14

#### A have a question about related rates from my calculus class may someone help me?

A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 4ft/s. How rapidly is the area enclosed by the ripple increasing at the end of 12s?

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