Ripples in the form of coincentric circles are formed when a pebble is dropped in a pond. the radius of outer ripple is increased at a constant rate of 2 foot per second. determine the rate at which the total area of A of water is changing when the radius is 5 feet?

Q: The radius of a circle is increasing at a rate of 4 centimeters per minute. Find the rate of change…

A: Area of circle having radius r is given by:     A=πr2Given rate of change of radius=drdt=4cm/minRate…

Q: The membrane of a cell is a sphere of radius 6 microns. What change in the radius will increase the…

A: Given that, the membrane of a cell is a sphere of radius 6 microns.  Let the change in radius be x…

Q: Riders on a ferris wheel travel in a cricle in a vertical plane. A particular wheel has a radius of…

A: Let radius of the wheel is R = 40 feet  and angular velocity is 2 rev/min  Angular velocity w =( 2×…

Q: 2. Write the formula for area of a circle: (a) Which two variables are related by this formula? (b)…

A:

Q: A circle of pollution is spreading from a broken underwater waste disposal pipe, with the radius…

A: For a circle of radius r its area is given by the formula πr2. For a function say f(x) of a variable…

Q: the area of a circle is decreasing at a rate of 3 meters-squared per second. find the rate of change…

A: Area of circle is πr^2. Differentiate area with respect to time and evaluate rate of change of…

Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg…

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at…

Q: Area is used to calculate the amount of space inside a two-dimensional object. True O False

A:

Exponential Growth Model

The relation that represents an exponential function is: