1. in/h and the radius increases at a rate of 1 in/h. How fast is its volume increasing when the 2. A cylinder expands with time. The height of the cylinder increases at a rate of height is 6 in and the radius is 2 in? (V = r²h).

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Q: The side of a cube increases at a rate of 12 m/sec. Find the rate at which the volume of the cube…

A: Let the side of the cube be:  'x'  The side of a cube increases at a rate of 12 m/sec. Therefore:…

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Q: 2. The edge of a cube decreases at a rate of 2.5m/s. Find the rate at which the surface area…

A: Application of derivatives.

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A: Use the derivative and substitute the given values.

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A: Introduction :

Q: or the following problem, consider a pool shaped like the bottom half of a sphere, that is being…

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Q: Can i get help with this problem step by step

A: The surface area of the cube, S = 6x2 The volume of the cube, V = x3 We have given dS/dt = 72.

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A: (a)Given:

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A: according to our guidelines we can answer only first question and rest can be reposted.

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Q: 1. The side of a cube increases at the rate of 12 m/sec. Find the rate at which the volume of the…

A: Our guidelines for multiple questions,answer only first question For other answers , Repost this…

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Q: 2. The edge of a cube decreases at a rate of 1.5m/s. Find the rate at which the surface area…

A: Solution Calculate the area of cube

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A: Given that radius of a sphere increases at the rate of 2m/sec drdt=2 m/sfind dVdt=? at r=14m

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A: Given: dSdt=4  cm/secdVdt|r=4 cm=?

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A: To find the instantaneous rate of change:

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A: given r=6.3 cm drdt=0.5 cm/week

Q: 1. The volume of a cube decreases at a rate of 12 m/sec. Find the rate at which the side of the cube…

A: This question is related to application of derivatives.