Boyle’s Law states that when a sample of gas is compressedat a constant temperature, the pressure P and volume Vsatisfy the equation PV= C , where  C is a constant.Suppose that at a certain instant the volume is 600 cm3 , thepressure is 150 kPa, and the pressure is increasing at a rateof 20 kPa/min. At what rate is the volume decreasing atthis instant?

Q: 2. Let V be the volume of a cylinder with height 5 feet and radius r feet. If the cylinder expands…

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Q: 1. A 10 ft ladder is leaning a gainst a wall. If the top of the ladder slides down the wall at a…

A: We have to find the rate at which the bottom of ladder is sliding down when the length of the ladder…

Q: Wave mechanics are often employed for

A: Given,              ∂2u∂t2=16∂2u∂t2  for all  0≤x≤10 and t≥0.             ...(1)

Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

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Q: nverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per second.…

A: Given that an inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters…

Q: 1) The volume of a right cylinder is given by the equation V = r² h, where r is the radius and h is…

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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.