Find the rate of change of the circumference of a circle with respect to the area when the area is 4π square feet.

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

A: NOTE: Refresh your page if you can't see any equations. . the area of the circle is given by  take…

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

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Q: Find the rate of change. The diameter of a circle with respect to radius

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

A: First find difference in area between square and circle then differentiate wrt t

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

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Q: A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle…

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

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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: Find the distance traveled after 6 seconds by a particle whose velocity is v(t) = (t − 2) meters at…

A: Given

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

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Q: The sides of an equilateral triangle are increasing at the rate of 3cm/min. Find: a.)the rate of…

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Q: 31. The rate of change of the circumference of a circle when its radius increases at 1 cm/min is Зп…

A: The solution is given in the next step.

Q: inder is decreasing c inches. At what

A: this is the problem of application of differential Calculus.

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

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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: The radius of a circle is increasing at the rate of 0.7 cm/s. what is the rate of

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

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Q: a light is placed on the ground at a distance of 31 feet from the point at which a javelin will be…

A: Distance between light and javelin is AB=31 feet,  At some moment, height of javelin is BC=28 feet…

Q: find the rate of change of the circumference of a circle when the area is increasing at the rate of…

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Q: Two cars start moving fr km/hr. At what rate is the

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Q: Evaluate the rate of change of the Area if the area of the circle is given by A= 6 r² when dr 7 and…

A: Given, the area of circle A=6r2

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

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Q: The figure below shows a camera mounted at a point 6000 ft from the base of a rocket launching pad.…

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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: If the velocity of a moving object is v(t)=t-2/t^2 in meters per second, then what is its…

A: We have to find displacement

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: 1. Find the rate of change of the area of a circle with respect to its radius when the radius is 3…

A: Authoring guidelines:…

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

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Q: Billy Joe Mccallister jumped off the Tallachatchie Bridge, 70 ft above the water with a bungee cord…

A: At the initial point t=0, then he was 70 ft high. After 2 seconds he was 6 ft high.

Q: The figure below shows a camera mounted at a point 3000 ft from the base of a rocket launching pad.…

A: Suppose, we name the sides as shown:

Q: What is the rate of change of the area of a circle (A =πr2) with respect to the radius when the…

A: What is the rate of change of the area of a circle  with respect to the radius when the radius is r…

Q: Find the rate of change of the angle when a wire of 250 dx feet is attached.

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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: The velocity of a moving object is V (t)=2t +/t in meters per second. What is its displacement, in…

A: We have to find displacement

Q: A rectangular beam is to be cut from a cylindrical log of diameter 20cm. Express the cross sectional…

A: It is given that the rectangular beam is cut from a cylindrical log of diameter 20cm.Therefore,…

Q: A kite 100 ft above the ground moves horizontally at a speed of 4 ft/s. At what rate is the angle…

A: Here we use trigonometric formulas along with differentiation formulas.

Q: A kite 100 ft above the ground moves horizontally at a speed of 3 ft/s. At what rate is the angle…

A: The diagrammatic representation of the problem is shown below.

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

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

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

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Q: A spherical droplet of water evaporates at a rate of 1 mm3/minute. Find the rate of change of the…

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Q: D. Diego walks at the rate of 5 ft per second toward a street light whose lamp is 20 ft above the…

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

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

A:

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

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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

Exponential Growth Model

The relation that represents an exponential function is: