Mathematics, 28.10.2020 16:50, jfedele7900
Consider the differential equationdPdt= kP1 + c, wherek > 0andc ≥ 0.In Section 3.1 we saw that in the casec = 0the linear differential equationdP/dt = kPis a mathematical model of a population P(t) that exhibits unbounded growth over the infinite time interval[0, [infinity]),that is, P(t) → [infinity]ast → [infinity].See Example 1 in that section.(a) Suppose forc = 0.01that the nonlinear differential equationdPdt= kP1.01, k > 0,is a mathematical model for a population of small animals, where time t is measured in months. Solve the differential equation subject to the initial conditionP(0) = 10and the fact that the animal population has doubled in 6 months. (Round the coefficient of t to six decimal places.)P(t) =(b) The differential equation in part (a) is called a doomsday equation because the population P(t) exhibits unbounded growth over a finite time interval(0, T),that is, there is some time T such thatP(t) → [infinity]ast → T −.Fin
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Mathematics, 21.06.2019 13:00, saltytaetae
Atriangle has side lengths of 15 inches and 30 inches. it also has angles that measure 45º and 20º. which of the following identifies the possible third angle of the triangle? a. 15 in., 65º b. 45 in., 65º c. 17 in., 115º d. 14 in., 115º
Answers: 1
Mathematics, 21.06.2019 20:30, strawberrymochi390
What is the axis of symmetry of the function f(x)=-(x+ 9)(x-21)
Answers: 2
Consider the differential equationdPdt= kP1 + c, wherek > 0andc ≥ 0.In Section 3.1 we saw that in...
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