Water exits a conical tank at a constant rate of 0.25 m3 per minute. -6 m The surface of the water has radius r meters. a) Find V(r), the volume of the water remaining. 9 m b) Find the rate at which the surface radius is changing at the instant when the water is 4 m deep.

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A: Please see the below picture for detailed solution.

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Q: The side of a cube decreases at a rate of 9 m/sec. Find the rate at which the volume changes, when…

A: If the rate is decreasing then it will be the negative.

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Q: 15. Water is pouring into a tall, Canadian cylinder of radius Scm at a rate of 10cm per second. The…

A: you can clearly understand if you follow the below solution

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Q: The side of a cube decreases at a rate of 8 m/sec. Find the volume changes, when the side is 6 m. O…

A: Please refer the image.

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A: we have to find the rate change of a side of cube

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Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

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A: Let's find.

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Q: An inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per…

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Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.