Find the rate of change of the circumference of a circle with respect to the area when the area is 4pi 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: Find the rate of change. The diameter of a circle with respect to radius

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Q: The intensity of a light from a light bulb varies inversely as the square of thedistance from the…

A: Let y=intensity of light from a light bulb x=the distance from the bulb.  So, according to the…

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: In an isosceles right triangle, the hypotenuse is increasing at a rate of 0.1 ft/s. When the area of…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s . Atwhat rate is the area of the square…

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Q: The length, s, of each side of an equilateral triangle is increasing at a rate of 13 per foot per…

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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,…

Q: The volume of a cube decreases at a rate of 0.75 ft3 of the side length when the side lengths are 15…

A: Given the volume of a cube decrease at a rate of 0.75 ft3/min. To find the rate at which the side…

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

A: Given            The pressure at 70 feet=140

Q: Find a linear speed of a tip of minute hand if a length of the minute hand is 7 cm long. Hint @==…

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

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Q: Determine the rate

A: a.)Let the radius of the balloon = rRate at which the radius of the balloon is decreasing = drdt =…

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: 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: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

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Q: e of rain is forecast to be 20% each da

A: (As per Bartleby guidelines for more than one question asked only one is to be answered please…

Q: Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 8…

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Q: Find w, correct to two decimal places.

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Q: A parallelogram of rectangular surfaces has a square base and its volume is always 108 cubic…

A: Given information

Q: What is the average rate of change of the height of water in the vase with respect to the volume of…

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Q: A fence 20 feet tall runs parallel to a tall building at a distance of 5 f diagram

A: Given, a fence 20 feet tall runs parallel to a tall building at a distance of 5 it from the building…

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: 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: How fast is the tip of her shadow

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

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Q: A hot air balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon’s rate of…

A: Solution:

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: 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.

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

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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: (b) Determine the rate of change of area A, of a circle with respect to its circumference C.

A: We have to find the rate of change.

Q: At what percent increase is the volume of a sphere if its radius is increased by 12%?

A: We have to find the incresed percentage  of volume

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

A:

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

A:

Q: What is the rate of change of the area of a circle (A = pair2 ) with respect to the radius when the…

A: It is required to calculate the rate of change of area of circle with respect to radius when radius…

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

A:

Q: Which vehicle has traveled farther at t = 2 seconds?

A: H

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Given:Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the…

Q: A jogger jogs around a circular track with a diameter of 375 m in 16 minutes. What was the jogger's…

A: Given:  Diameter of circular track =375 m So, radius of the track

Q: A right triangle with legs of lengths x and y has its area given by the following. If the rate of…

A:

Exponential Growth Model

The relation that represents an exponential function is: