73 Answered Questions for the topic Related Rates

Related Rates

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
Related Rates Derivatives Calculus 1

05/22/18

#### Related rates - how is the area of the triangle increasing

The legs of an isoceles triangle are increasing at a rate of 16cm/s while the base of the triangle remains constant at 60cm. At what rate is the area of the triangle increasing when each leg is 50cm?
Related Rates

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... more

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... more
Related Rates Derivatives

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?
Related Rates Derivative

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?
Related Rates Word Problem Derivative Rates

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 Calculus

03/08/18

#### I don't understand how to do related rates?

A ladder 10 meters long rests on horizontal ground and leans against a vertical wall. The foot of the ladder is pulled away from the wall at the rate of 0.5 m/sec. How fast is the top sliding down... more
Related Rates Math Calculus

03/08/18

#### Related rates question?

Water is poured into a conical container at the rate of 10 cm3/sec. The cone points directly down, and it has a height of 25 cm and a base radius of 5 cm. How fast is the water level rising when... more
Related Rates Math Mathematics Hard To Do

03/06/18

#### Related Rate: Ladder Problem

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.6 ft/s, how fast is the angle between the ladder and the ground changing when... more
Related Rates Calculus

03/01/18

#### I need help finding the rate of change of height in this problem.

The area of an equilateral triangle is increasping at 10cm²/min. Find the rate at which the height is changing when the area is 16√3.    im super stuck. Please help :(
Related Rates

02/18/18

#### Related rates

A lighthouse is fixed 170 feet from a straight shoreline. A spotlight revolves at a rate of 17 revolutions per minute, (34 rad/min ), shining a spot along the shoreline as it spins. At what rate is... more
Related Rates Calculus

02/15/18

#### Related Rates Quesiton

A road running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and an airplane is flying east above the second road. At a particular... more
Related Rates Calculus Mathematics

01/12/18

#### Related Rates Question

5) A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with right triangles. At what rate is the length of the person's shadow... more
Related Rates Calculus

01/10/18

#### I need help checking a related rates problem I made. Please help!

As part of a project, I need to create a related rates problem. I made one, but when I work it out, I get an answer that doesn’t look right. This is the problem: A bird is flying north at a speed... more
Related Rates

12/18/17

#### distance changing between two moving objects

Brad is traveling one mile east of a 90 degree intersection traveling east at 30 mph Abby is 5 miles north of the intersection traveling south at 18 mph ten Minutes later how fast is the distance... more
Related Rates Calculus

10/27/17

#### I don't understand this question at all

It is estimated that the annual advertising revenue received by a certain newspaper will be R(x) = 0.5x2 + 3x + 160    thousand dollars when its circulation is x thousand. The circulation of the... more
Related Rates Math

04/10/17

#### Water is leaking out of an inverted conical tank at a rate of 7100.000 cubic centimeters per min?

Water is leaking out of an inverted conical tank at a rate of 7100.000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height... more
Related Rates

12/13/16

#### Related rates sliding ladder

A 10m ladder is leaning against the vertical wall of a house. If the lower end of the ladder is being pulled horizontally away from the wall at the rate of 0.6m/s, how fast is the top of the ladder... more
Related Rates

11/14/16

#### A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing

A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out? more
Related Rates

11/14/16

#### A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1... more
Related Rates Calculus Derivative

03/27/16

#### Related rates problem

The rate at which ice is melting in a pond is given by dV/dt= √(1+2t), where V is the volume of ice in cubic feet, and t is the time in minutes. What amount of ice has melted in the first 5... more

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