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

Related Rates, Rates, Derivatives, Calculus Problem Solving Implicit Differentiation

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
Related Rates, Rates, Derivatives, Calculus Related Rates Easy To Do

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... more
Related Rates, Rates, Derivatives, Calculus Word Problem Derivative

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.
Related Rates, Rates, Derivatives, Calculus Calculus Derivatives

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... more
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... more
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... more
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... more
Related Rates, Rates, Derivatives, Calculus Calculus Rate Of Change

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... more
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.... more
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... more
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... more
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... more
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.... more
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... more
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 []... more
Related Rates, Rates, Derivatives, Calculus Math Related Rates

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... more
Related Rates, Rates, Derivatives, Calculus Math Calculus

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... more
Related Rates, Rates, Derivatives, Calculus Calculus Calculating Average Rates Of Change

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... more
Related Rates, Rates, Derivatives, Calculus Calculus Related Rates

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... more
Related Rates, Rates, Derivatives, Calculus Calculus Related Rates

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,... more
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... more
Related Rates, Rates, Derivatives, Calculus Calculus Related Rates

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... more

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