25 Answered Questions for the topic Related Rates, Rates, Derivatives, Calculus

04/25/18

#### The perimeter of an isosceles triangle is 16cm. What are the dimesions of the sides and height for the maximum area

Related Rates Problem Solving

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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03/17/18

#### 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.

11/28/17

#### Math derivative calcular relative rates

A large snowball is melting so that it's radius is decreasing at the rate of 2 inches per hour. How fast is the volume decreasing at the moment that the radius is 3inches? HINT: volume of a sphere...
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Related Rates, Rates, Derivatives, Calculus

11/01/17

#### Find the rate of change of the distance d between the origin and a moving point on the graph of y=x^2+7 if dx/dt=2 centimeters per second

Here are the multiple choice answers: A. dD/dt= 4x^3 + 30x/√ x^4 + 15x^2 +49 B. dD/dt= 4x^3 + 16x/x^4 + 14x^2 + 49 C. dD/dt= 2x^3 + 30x/√ x^4 +14x^2 + 49 D. dD/dt= 4x^3 - 30x/√ x^3 +15x^2 + 49...
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Related Rates, Rates, Derivatives, Calculus Rates

07/31/17

#### Rates and derivatives

While you were out cross country skiing, you make a perfectly shaped spherical snowball. Unfortunately the temperature increases and the volume of your snowball decreases at a rate of -1cc/min. At...
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Related Rates, Rates, Derivatives, Calculus

07/30/17

#### related rates

A coffee filter has the shape of an inverted cone. The radius is 8 cm at the top and the filter's height is 10 cm. Water is drained from the filter at the rate of 25 cm^3/s. How fast is the depth...
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07/30/17

#### Related Rates

The height h of an equilateral triangle is increasing at a rate of 3cm/min. How fast is the area changing when h is 5 cm?

Related Rates, Rates, Derivatives, Calculus

01/26/17

#### Relate rates problem

At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 pm?

Related Rates, Rates, Derivatives, Calculus

01/26/17

#### Need help with a related rates problem

The area if a triangle with sides of lengths a and b and contained angle theta is A=1/2 ab sin theta.
a) If a= 2 cm, b = 3cm, and theta increases at a rate of 0.2 rad/min, how fast is the area...
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Related Rates, Rates, Derivatives, Calculus Calculus 2

12/14/16

#### Need help with this related rate problem

Laura is hitting a golf ball at the driving range. Suppose that the altitude of the ball is given in feet by the equation y = 200t − 40t 2, where t is the time in seconds after she hits the ball....
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Related Rates, Rates, Derivatives, Calculus

11/25/16

#### Differentiate with respect to time

A turkey can run faster than it can fly backwards. Thus, it's position equation is represented by 2x+y=3. Differentiate with respect to time and find how fast it's changing when it's x is...
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Related Rates, Rates, Derivatives, Calculus

03/25/16

#### At what rate is the height of the pile changing when the pile is 15ft hight?

At a sand and gravel plant, sand is falling off a conveyor onto a conical pile at the rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the...
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Related Rates, Rates, Derivatives, Calculus Calculus 1

12/02/15

#### How fast is the length of the shadow on the building decreasing?

A spotlight on the ground shines on a wall 40 feet away. A 6 foot tall man walks from the spotlight toward the building at a rate of 5 ft/sec. How fast is the length of his shadow on the building...
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Related Rates, Rates, Derivatives, Calculus

11/18/15

#### Calculus related rates problem

A 200 foot tree is falling in the forest; the sun is directly overhead. At the moment when the tree makes an angle of 30? with the horizontal, its shadow is lengthening at the rate of 50 feet/sec....
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Related Rates, Rates, Derivatives, Calculus

10/16/15

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

It is estimated that the annual advertising revenue received by a certain newspaper will beR(x)=0.5x^2+4x+179thousand dollars when its circulation is x thousand. The circulation of the paper is...
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Related Rates, Rates, Derivatives, Calculus

10/02/15

#### When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.02 cm/min.

This is the rest of the question... At what rate is the plate's area increasing when the radius is 53 cm?
I have to answer in the following format.. The rate of change of the area is []...
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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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Related Rates, Rates, Derivatives, Calculus Calculus Calculating Average Rates Of Change Derivatives

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

#### 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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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, Rates, Derivatives, Calculus Calculus

01/31/15

#### Related Rates

A television camera is positioned 4000ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also,...
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Related Rates, Rates, Derivatives, Calculus Calculus

01/08/15

#### I have a question about related rates and basically i need help checking my work

You, five feet tall, are in your backyard stargazing when you notice a bright light in a field 500 feet away from you and 300 feet in the sky. You focus your telescope on it and notice that it is a...
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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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