#39 a certain population will die at age x by the formulanY P(x) = x²xe-xwhere A is a parameter such that 0 < A < e.a. For a given A, find the maximum value of P(x).b. Sketch the graph of P(x).doc. Find the area under the probability curvey = P(x) for 0 < x < 10, and interpret yourresult.IIthe39. A population P, grows at the rateP'(t) = 5(t +1) In vt +1thousand individuals per year at time t (in years). Byhow much does the population change during theeighth year?40. Suppose that a drug is assimilated into a patient'sbloodstream at a rate modeled by-0.31tA(t) = 2te-%3Dwhere t is the number of minutes since the drug wastaken. Find the total amount of drug assimilated intothe patient's bloodstream during the second minute.41. Recovering from an environmental perturbation, a(hypothetical) population exhibits dampened oscil-lations of the formDOrN(t) = 100 + 50 sin(27 t) e-0.-0.01tindividuals per acre%3Dwhere t is measured in days. As a part of a samplingeffort, a scientist captures and releases individualsfrom this population at a rate of 0.1 N(t) individualsper acre per day. If the scientist is sampling one acre,ols she cantures

Name: #39 a certain population will die at age x by the formulanY P(x) = x²x
Uploaded: 2024-03-05T11:52:21.000Z
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Description: #39 a certain population will die at age x by the formulanY P(x) = x²xe-xwhere A is a parameter such that 0 < A < e.a. For a given A, find the maximum value of P(x).b. Sketch the graph of P(x).doc. Find the area under the probability curvey = P(x) fo