#2 and #3 Solve five of the following applications.1. Dominic and Eva are given 10 Russian dwarf hamsters as a present. Given that thehamsters reproduce at such a rate that their population doubles every 3 years, answerthe following:(a) How many hamsters will they have in 6 years?(b) Write an equation to represent the number of hamsters after t years.(c) How long will it be until they have 100 hamsters and they must sell them backto the pet store because there is no more room in the house? Round your answerto the nearest year.2. At what rate of interest, compounded continuously will an investment double in sixyears?3. Plutonium-241 has a half-life of 13 years. A laboratory purchased 20 grams of thesubstance but had to wait five days before it could be used. How much of the substancewas left after five days?4. Tritium is used in nuclear weapons to increase their power. It decays at the rate of5.5% per year. Calculate the half-life of tritium.5. Use the following model for the next two questions: The C(t) of a drug administeredto a patient intravenously jumps to its highest level almost immediately. The concen-tration subsequently decays exponentially according to the lawC(t) = Coektwhere C(0) = Co. The physician administering the drug would like to have m <C(t) < M, where m is the concentration below which the drug is ineffective and M isthe concentration above which the drug is dangerous.(a) Suppose that immediately after a certain drug is administered, the concentrationis 5 milligrams per milliliter. Ten hours later the concentration drops to 1.5milligrams per milliliter. Determine the value of k for this drug.(b) The half-life of Valium is 36 hours. Suppose a patient receives 16 milligrams ofthe drug at 8 A.M. How much Valium is in the patient's blood at 4P.M. the sameday?

Name: #2 and #3 Solve five of the following applications.1. Dominic and Eva
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: #2 and #3 Solve five of the following applications.1. Dominic and Eva are given 10 Russian dwarf hamsters as a present. Given that thehamsters reproduce at such a rate that their population doubles every 3 years, answerthe following:(a) How many hams