When sugar is dissolved in water, the amount A that re- mains undissolved after t minutes satisfies the differential equation d A/dt = -kA (k > 0). If 25% of the sugar dis- solves after 1 min, how long does it take for half of the sugar to dissolve?

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A: Given initial population = 120  So, for t=0, P=120  Using that we get: Quadruples in size every 1.5…

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A: After time t=9.555 hours....they can legally drive...for detail solution...go through the solution

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A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

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A: Note:- These are multiple questions and according to company guideline we can do maximum 1 questions…

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A: A detailed solution is given below.

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A: given: A culture initially has P0 number of bacteria. At 1 h the number of bacteria is measured to…

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Q: After t hours there are P(t) cells present in a culture, where P(t) = 4000e 0.3t. (a) How many cells…

A: We can answer first three parts of the question as per the honor policy. Please resubmit other part…

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Q: The rate of change in the number of cows, W, in a population is proportional to 150 - W(t), where t…

A: Just I have used the proportionality rule and easily find the required differential equation. Last…

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Q: A radioactive isotope decays at a rate proportional to the amount of the isotope, in other words…

A: Given,  k = -0.283033 , let initial amount = C= 1 , final amount =A=0.5  We have to find t

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Q: A small cannonball with mass 9 kilograms is shot vertically upward with an initial velocity of 130…

A: we have m=9, v=130, k=0.0025, g=-9.8

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A: This is the problem of modeling.