The time required to empty a tank varies inversely as the rate of pumping. If a pump can empty a tank in 45 min at the rate of 600 kL/min, how long willit take the pump to empty the same tank at the rate of 1000 kL/min?

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A: It is given that a patient is administered a dosage of 70 mg.The body naturally disposes 6%.

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Q: After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth…

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Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug…

A: Given query is to find rate of change after 8 hours.

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Q: A candle on Pauline dresser is 4 inches tall.and burns at a rate of 0.6 inches per hour . How many…

A: Topic - equation in one variable

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: If the diagonal of a cube is increasing at a rate of 3 cubic inches per minute, how fast (in…

A: We will find the rate of increase of side of cube.

Q: Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square…

A: Let,

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A: Since you have not mentioned I am answering 2nd Question. Given:Volume of a cube decreases at a rate…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

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A: Given the data :

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A: This question is based on application of differentiation.

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Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

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Q: The volume of a cube decreases at a rate of 0.75 ft3/min. What is the rate of change of the side…

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A: Given  mass m=4 kgaccelration a=5 m/s2we know that F=maF=4*5F=20NNow same force applied on anather…

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A: Given query is to find the work required to move the magnets.

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A: Given dr/dt = 3

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Let the length of side of square be' a '

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: here we have

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A:

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Consider the sides of the function of time:  The Area is increasing by 49 cm2/s The side increasing…

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A: If the area of a square, A, is x2 units , then the length of its side is x unit .

Q: In the electric current​ flow, it is found that the resistance​ (measured in the units called​ ohms)…

A:

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

A:

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Given:Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the…

Q: A patient is adminstered a dose of 60 mg of a drug. If the body naturally disposes of 6% of the drug…

A:

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.