A mold grows at a rate that is proportional to the amount present. Initially there is 6oz of this mold, and 10 hours later there is 8oz. When is there 15oz of the mold?

Q: A mold grows at a rate that is proportional to the amount present. Initially there is 6 oz of this…

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Q: A woltage V across a resistance R generates a current I = V/R. If a constant voltage of 17 volts is…

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A: Solution :-

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Q: A tank initially contains 200 L of fresh water. Brine containing 2.5 N/L of dissolved salt runs into…

A: Let "s" represents the quantity of salt in the tank. dSdt=(8×2.5)-8S200dSdt+0.04S=20   and S(0)=0…

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Q: 11. If the base of a triangle is constantly 4 cm, find the rate at which the area of the triangle is…

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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: Explained below

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Q: 7) The rate of water flowing in a tank is given by: R(t) = 0.5t* + 20t Gallons/minutes. How much…

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Q: The rate of growth of a certain cell culture is proportional to its size. In 10 hours a population…

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Q: After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is present.…

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Q: (a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i)…

A: Since you have posted a multiple question ,I will solve the first question  for you. To get…

Q: 6) A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate…

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Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

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Q: Assume that a snowball melts so that its volume decreases at a rate proportional to its surface…

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Q: After 2 days, 10g of radioactive chemical is present. Three days later, 5g is present. How much of…

A: Given:      After  2 days, 10g of radioactive chemical is present. Three days later5 g chemical is…

Q: udent is walk

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Q: ladder away

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Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional to…

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Q: 6. The mass of a cube in grams is M = x³ + 0.1x*, where x is the length of one side in centimeters.…

A: Explained below

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Q: B. A ladder 13 feet long rests against a vertical wall. If the top of the ladder slides down at a…

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Q: A tank contains 200 liters of fresh water. Brine containing 2.5 N/L of dissolved salt runs into the…

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Q: Water is drained from a pool at a rate of R(t) = 50e-0.08t gallons per hour. If the drain is left…

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Q: How do you solve question 2?

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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.