odel an athletic adult male needs 20 calories per day per pound of body weight to maintain his weight.if he consume a more or fewer calories than those required to maintain his weight changes at a rate proportional to difference between the number of calories consumed and the number of calories consumed and the number needed to m

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Q: Initially 71 grams of radioactive substance was present. After 4 hours the mass had decreased by 9%.…

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Q: The number of insects in a colony is known to multiply at a rate proportional to the number of…

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Q: nitially 90 grams of radioactive substance was present. After 6 hours the mass had decreased by 5%.…

A: Given that: Initial Mass, N0=90 gmAfter 6 hrs, Mass of substance decreased by 5%Rate of decay is…

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A: Given query is to find the rate of change of area.

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Q: A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble substance…

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Q: Initially 50 grams of radioactive substance was present. After 10 hours the mass had decreased by…

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Q: A certain type of bacteria is known to grow at the rate proportional to square root of the amount…

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Q: A businessman found out that there is a need for a great supply of a certain type of ornamental fish…

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A: given that k=0.15                      y'=0.15(300-y) also                     y'=k(M-y), y(0)=y0…

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Q: A large tank initially contains 50 gallons of brine in which there is dissolved 10 lb of salt. Brine…

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Q: The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone,…

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Q: A certain radioactive substance has a half-life of 38 hours. The rate of change in the decay is…

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Q: The number of bacteria in a liquid culture is observed to grow at a rate proportional to the number…

A: We know that at the beginning of the experiment, number of cells = 104 After 3 hours of the…

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Q: It is known that a bacterial culture increases at a rate that is proportional to its current amount.…

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Q: According to a simple physiological model, an athletic adult male needs 20 calories per day per…

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Q: One hundred strands of bacteria are placed in a nutrient solution in which a plentiful supply of…

A:

Q: . A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble…

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Q: Assume the rate at which the zombies spread is jointly proportional to the number of encounters…

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Q: A tank contains 200 liters of brine with 20 kg of salt in solution. Brine containing 0.25 kg per…

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Q: A tank initially contains 200 liters of brine with 20 kg of salt solution. Brine containing 0.25 kg…

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Q: A team of biologists stocked a lake with 100 fish of one species to conduct an experiment. They…

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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.