The radius r of a circle is increasing at a rate of 5 inches per minute. Find the rate of change of the area when r=9 inches and r=23 inches

Q: Given the area of a circle A=πr^2, find the rate of change of diameter d if dA/dt=3cm/min and the…

A: To find: The rate of change of the diameter d. Given: The rate of change of area is dAdt=3…

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 area of a circle is increasing at a rate of 10 ft2/min. Find the rate of change of the diameter…

A: Area of a circle is increasing at a rate of 10ft2/min. To find: Rate of change of diameter, given…

Q: At what rate is the distance between the planes changing? mph (b) How much time does the controller…

A:

Q: The radius r of a sphere is increasing at a rate of 6 inches per minute. (a) Find the rate of change…

A:

Q: Find the rate of change of the circumference of a circle with respect to the area when the area is…

A:

Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of…

A:

Q: The radius r of a sphere is increasing at a rate of 5 inches per minute. (a)  Find the rate of…

A: Given, drdt=5

Q: The area of a rectangle with one of its sides s is A(s) = 10s". What is the rate of change of the…

A:

Q: An engineering student is experimenting on a cylindrical can with a fixed rate of 8 inches. Find the…

A: Please check step 2 for the solution.!

Q: ick is increasing at a rate of 3 meters per minute. How quickly is the area changing when the oil…

A:

Q: The radius r of a sphere is increasing at a rate of 6 inches per minute. (a)  Find the rate of…

A: Given:The radius r of a sphere is increasing at a rate of 6 inches per minute.

Q: If the radius of a circle increases at the rate of 0.01 inch/sec, find the rate of change of the…

A: We have, Radius of circle (r)=3 inchesRate of change of radiusdrdt=0.01 inches/sec We know that,…

Q: The volume of a sphere is increasing at a rate of 8 cubic cm/sec.  Find the rate of change of its…

A: Let V be the volume of the sphere which is given in the question as,

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

A: Given that : The radius of a circle is increasing at a rate of 4 centimeters per minute. That is,…

Q: If the rate of change of the side length of an equilateral triangle is 2br / sec, what is the rate…

A: Please rate and feel free to ask any query about any part of the question.  I have used applications…

Q: An engineering student is experimenting on a cylindrical can with a fixed rate of 8 inches. Find the…

A:

Q: The radius r of a circle is increasing at a rate of 3 inches per minute. Find the rate of change of…

A:

Q: The radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

A:

Q: The radius of a circle is increasing at the rate of 0.7 cm/s.whats is the rate of increase of its…

A:

Q: The radius of a sphere is r when time is t seconds. Find the radius when the rate of change of the…

A: Given  At time t  the radius of a sphere is 'r'

Q: If the radius of a circle increases at the rate of 0.01 inch/sec, find the rate of change of the…

A: We have to find the rate of change of area when the radius is 3 inches and when the radius increases…

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 radius of the circle is changing at a rate of 4cm / min. Find the rate of change of the…

A:

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm/min, find the rate (in…

A: Given  Decreasing rate of surface area = 3cm2/min To find: the rate of decreasing of diameter when…

Q: Find the rate of change of the circumference of a circle with respect to the area when the area is…

A: Given :  the  area  of the  circle is 4π square feet. To  find : the rate  of change of…

Q: the radius r, of a circle is decreasing at a rate of 2cm per minute. Find the rate of change of  the…

A: givenradius (r)=5 cmdrdt=2 cm/minwe knoww circumference of the circle (C)=2πrdiffrentiatedCdt=2πdrdt

Q: One leg of a right triangle is always 6ft. long, and the other leg is increasing at a rate of 2 feet…

A: Let the leg with constant length be denoted by b Let the other leg be denoted by a Let the…

Q: A cylindrical box has a fixed height of 12 inches. Find the rate of change of volume with respect to…

A:

Q: find the rate of change. Speed of sound v (in m/s) with respect to air temperature T (in kelvins),…

A: We have been given the equation  v=20T            (1) where v is the speed of sound (in m/s) and T…

Q: If the radius of a cone increases at a rate of 36 inches per second and the height decreases 2 feet…

A: Given

Q: The radius of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of change…

A: We can find the answer as below using the given data.

Q: The surface area of a cube with sides of length x is given by S = 6x2. Find the rate of change of…

A: Given: The surface area of the cube : S=6x2 To find : Rate of change of surface area with respect to…

Q: Find the rate of change of area of the circle with respect to its radius, in ft2/ft, when the radius…

A: We have to find the rate of change of area of the circle with respect to its radius in ft2/ft. Also…

Q: The radius of a right circular cylinder is given by sqrt(t+7) and its height is 2 (sqrt(t)), where t…

A:

Q: The radius r of a right circular cylinder with a fixed height of 48 inches is increasing. Find the…

A: topic - average rate of change of function

Q: The rate of change of the area enclosed between the circle and the square is square meters per…

A:

Q: The radius r of a sphere is increasing at a rate of 4 inches per minute.   (a)  Find the rate of…

A:

Q: The area of a square is increasing at a rate of 16 centimeters squared per second. Find the rate of…

A: Area of square =(side)2

Q: A square with side x cm, is changing with time where x(t) = 4t – 2. What is the rate of change of…

A: Given: A square with side x. changing with time is given as, xt=4t-2. The objective is to find the…

Q: The radius, r, of a circle is decreasing at a rate of 2 centimeters per minute.  Find the rate of…

A:

Q: The radius of a sphere decreases at the rate of 5 m/s. when the radius is 6m, then the rate of…

A: First I have written about rate of decrease in radius and then written the formula of Surface Area…

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A:

Q: Find the rate of change of the surface area of a hemisphere with respect to its radius. a. When the…

A:

Q: 18. If the radius of the circle increases at the rate of 0.01 cm per second, find the rate of change…

A: Topic:- Application of Derivative  Correct option = a

Q: The radius r of a sphere is increasing at a rate of 8 inches per minute. Find the rate of change of…

A:

Q: the volume of the sqhere is increasing at a rate of 10cm^3/sec. Find the rate of change of its…

A:

Q: A heated circular plate has a radius of 24 in. What is the rate of change of the plate's radius if…

A: To find the rate of change of plate's radius

Q: The radius of a circle is increasing at a rate of 3 ft/min. At what rate is its area changing when…

A:

Q: The volume of a sphere is increasing at a rate of 8 cm3/sec. Find the rate of change of the radius…

A: Given : V= 32π/3 cm3              dV/dt = 8 cm3 /sec