The growth rate of a fungus varies over the course of one day. You find that the size of the fungus is given as a function of time, where t is the time in hours, and L(t) is the size in millimeters. 2nt L(1) = 3.6t + 1.2 cos 24 (a) Calculate the growth rate dt (b) What is the largest growth rate of the microbe? What is the smallest growth rate? (a) Calculate the growth rate. dL dt (Type an exact answer using a as needed.)

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Q: nt A model for the basal metabolism rate, in kcal/h, of a young man is R(t) = 90 - 0.16 cos where t…

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Q: Suppose you have just poured a cup of freshly brewed coffee with temperature 95°C in a room where…

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Q: The rate of growth of the population N(t) of a new city t years after its incorporation is estimated…

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Q: 10. The rate of growth of a population is given by r(t) = t+t cos() hundred per day. Has the…

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Q: b) The concentration of a certain substance, r(mg/L) over time t(hours) is represented by dx -kx, dt…

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Q: 1) A particle moves according the law of motion: (in image) a)  at what time does the particle have…

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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.