The radius of a circle is increasing at a rate of 4 cm per second. Find the rate of change of the area of the circle when the radius reaches 37 cm

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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 sphere is increasing at a rate of 20 inches per minute. Find the rate of change of…

A: Given : The increasing radius of the sphere is drdt=20. To find the rate of change of volume of a…

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: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 3 ft/min.…

A: The given data is: Initial radius ri=50 ft Radius is decreasing at the rate of drdt=3ft/min To find…

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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: 6. Find the rate of change of the circumference of a circle with respect to the area when (a) the…

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

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A: Given a large weather balloon is being inflated with air at the rate of 0.9 ft3 per minute. Volume…

Q: The radius of a circle is increasing at the rate of 4 cm/s. How fast is the area of the circle…

A: Given,           The radius of a circle is increasing at the rate of 4 cm/s. And the radius is 5 cm…

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

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

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A: Let the radius be r, The rate of change of radius , drdt=0.01 inch per secondArea of the circle is…

Q: The radius of a circle is increasing at the rate of 0.7 cm/c.what isthe rate of oncreasing of its…

A: Differentiate circumference wrt t

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Q: How fast is the circumference of a circle changing if the radius is changing at the rate of 3 mm/s?

A: Solution

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

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A: From the given data:

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

A: The radius of a circle is increasing at the rate drdt= 0.7 cm/sec r = radius of the circle

Q: The radius of a circle is changing atthe rate of -2/paiA m/sec. At what rate is the circle’s area…

A: Let the radius of the circle be r. Then the area (A) of the circle is: A=πr2 Differentiating with…

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A: Given

Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

A: Area of circle of radius r inA=πr2→dAdr=2πrdrdt→2πrdrdt=6      [∵dAdr=6cm2/sec]    -(1)

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A: Consider a cube with side 'a' The rate at which the volume of cube is decreasing is 0.75 cubic feet…

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Q: Show that the rate of change of the area of a circle with respect to its radius is equal to the…

A: Our Aim is to show that the rate of change of area of a circle with respectto its radius is equal…

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

A: We know that volume of a sphere is given byV= 43πr3 where r be the radius of the sphere.Now we are…

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

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Q: The radius of a right circular cone is increasing at 3 cm/min whereas the height of the cone is…

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Q: A circle has an initial radius of 50 ft. when the radius begins decreasing at the rate of 3 ft/min.…

A: Area of a circle is given byDifferentiating the function of area with respect to time:

Q: A circle has an initial radius of 50 ft when the radius begins decreasing at a rate of 2 ft>min.…

A: Let r be the radius of the circle.The initial radius is given by r = 50 ft.Given that, the radius…

Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

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Q: A circle has an initial radius of 50 ft when the radius begins decreasing at the rate of 5 ​ft/min.…

A: Given information:

Q: . A vertical cylinder is leaking water at a rate of 1 ft /sec. If the cylinder has a height of 10 ft…

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A: Given information:The area of a circle increases at a rate of 3 cm square per second

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Exponential Growth Model

The relation that represents an exponential function is: