The radius r of a sphere is increasing at a rate of 6 inches per minute. (a) Find the rate of change of the volume when r = 9 inches. in.3/min (b) Find the rate of change of the volume when r = 36 inches. in.3/min

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

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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 change…

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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.

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A: Topic:- Differential equation

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A: The surface area S of the body is related to the body's weight W according to S is:

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A: Let L be the length of the rectangle and W be the width of the rectangle. then we have ,…

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.

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A: Topic:- calculus

Q: need help

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A: Area of square =(side)2

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A: According to Questions  Initial velocity (u)=0 ft/s  time=t=3s

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A: The image made from available details in the question

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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

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A: From the given question we find the rate of change at a indicated points.

Q: The area of a square with side s is A(s) = s². What is the rate of change of the area of a square…

A: We are given :  The Area of a square with  side s is A(s) =s2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.