A dog is anesthetized when its bloodstream contains at least 45 milligrams (mg) of the anaesthetic sodium pentobarbital per kilogram of the dog’s body weight. Suppose that the sodium pentobarbital is eliminated exponentially from the dog’s bloodstream, with a half-life of 5 h. What single dose should be administered in order to anesthetize a 70-kg dog for 1 hour?

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Q: The count of bacteria in a culture was 600 after 20 minutes and 2000 after 35 minutes.

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Q: The population of the city is declining according to the exponential law. if the population went…

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A: topic - exponential function

Q: The population of bacteria cells in a dish decays exponentially at a rate of 5% per hour. If there…

A: Given,          The population of bacteria cells in a dish decays exponentially at a rate of 5% per…

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A: Formula: N(t)=N0exp-0.693tt1/2whereN0=initial amount of substancet1/2=half life of…

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Q: This year there were 25,000 new births in a large county, but new births are expected to decay…

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Q: In 2013, the population of a colony is 18500, and is increasing exponentially at a rate of 10.7% per…

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Q: How many years will it take for an invested amount of money to double its value when invested at…

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Q: A city had a population of 10,000 in 2000 and a population of 12,000 in 2020. If its population…

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Q: Suppose that the town of Grayrock had a population of 10,000 in 2014 and a population of 12,000 in…

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Q: The size of a threatened population of bottlenosed dolphins is decaying exponentially with a…

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Q: The City of Dallas had a population of 1,270,000 in 2010, and a population of 1,560,000 in 2020. It…

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Q: 9. The number of bacteria in a Petri dish grows exponentially, starting with just 1 bacterium, but…

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Q: The​ half-life of a certain tranquilizer in the bloodstream is 41 hours. How long will it take for…

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A: Suppose the function is of the form

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Q: In the year 1980, the city of Gumbolantenden had a population of 20,000. The population of…

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Q: The population of a city is 89​,000. If the population grows continuously by 3.2​% per​ year, in how…

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Q: Assume that an insect population grows according to the law of exponential growth. After the third…

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Q: The value of a savings bond is growing by 2.8% per year compounded continuously. At this growth…

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Q: A) Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

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Q: Carbon decays exponentially. How many grams of the carbon will be left in 123 years, if 161 grams…

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Q: Write an exponential function for a population of 15,000 grows continuously at a rate of 2.5% per…

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A: The solution is given as follows

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Q: A radioactive substance decays exponentially. There are 400 milligrams of the substance to begin…

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Q: The size of a threatened population of bottlenosed dolphins is decaying exponentially with a…

A: we have to slove the above question

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Q: If an initial population of 32 grows exponentially at a rate of 50% per year, then what will the…

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Q: oon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

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Q: In 2013, the population of a colony is 18500, and is increasing exponentially at a rate of 10.7% per…

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Q: It is known that a certain kind of algae in the Dead Sea can double in population every 5 days.…

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Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

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Q: A particular city had a population of 23,000 in 1910 and a population of 28,000 in 1950. Assuming…

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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.