A cube has an edge of 2 feet. The edge is increasing at the rate of 5 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed  find v(m)=

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A: Please see the below pictures for detailed solution.

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A: Given: A cube has an edge of 3ft.

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Q: A cube has an edge of 4 feet. The edge is increasing at the rate of 2 feet per minute.  Express the…

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Q: The volume of an ice cube is decreasing at a rate of 1.5 cm³/sec. At what rate is a side of the ice…

A: option A is correct detailed solution with explanations given below

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A: Volume of rectangular box = l b hwhere, l = length of boxb= width of boxh = height of boxRate of…

Q: A cube has an edge of 3 feet. The edge is increasing at the rate of 6 feet per minute. Express the…

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Q: A cube has an edge of 5 feet. The edge is increasing at the rate of 2 feet per minute. Express the…

A: Given,          A cube has an edge of 5 feet. The edge is increasing at the rate of 2 feet per…

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A: Given,           dldt=-2cm/s           dwdt=+2cm/s(a) Area, A=lw              dAdt=ddt(lw)…

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A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

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A: An oral medication is absorbed into the bloodstream at the rate of 7e-0.04t.

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A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: A snowball melts in such a way that the rate of change in its volume is proportional to its surface…

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Q: The base x of a triangle is decreasing at the rate of 5 in./sec. and the height y of the triangle is…

A: Given Base = x  Height = y Rate of change of base = dx/dt = - 5 in/s Rate of change of height =…

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Q: The length of a rectangle is increasing at a rate of 2 ft/s, and its width is increasing at a rate…

A: Here we have, The length of a rectangle is increasing at a rate of 2 ft/s, and its width is…

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Q: What is the average rate of change of the function f(x)=9x−8 between x=2 and x=3?

A: The given function is fx=9x-8. The average rate of change of the function f over a,b is given by the…

Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

A: Let the length of the rectangle be:  l  cm Let the width of the rectangle be:  w  cm

Q: The radius of an air bubble is increasing at the rate of 1/2 cm/s.At what rate is the volume of the…

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Q: A 20 m³ tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of…

A: The  given problem we can be formulated as  a differential equation and solve.

Q: A 30 m³ tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of…

A: Volume of the tank is 30 m3 The tank is full of brine with 40 kg of dissolved salt. Pure water…

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A: We have to find