There is a bacteria cell in a Petri dish that is reproducing at a rate of              r(t) = 2t^2+1 per hour for 5 hours, where r is the reproduction rate in thousands of cells and t is the time in hours.  What are the domain and range of the function that describes the reproduction rate?

Q: An Object moved in horizontal coordinate line according to f(x) = x^3 - 6x^2 , where f is directed…

A:

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Q: Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14…

A: Find the first and second derivative of the function

Q: population of a​ city, in​ millions, since 1990 has grown at a rate of P′(t)=0.21e^ 0.027t million…

A: I have provided solution in step2

Q: A bacterial culture began with 7500 bacteria it's growth can be modeled using an expotential…

A: N = 7500·2t36 Now, when t = 72 N = 7500·27236 N = 7500·22 N = 7500×4 = 30000

Q: Suppose the function f(t)=125000e^-0.103t gives the population of a city t years since 1970.…

A: Given that, Function of population of a city since 1970 is, f(t) = 125000e-1.103t where t is in…

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A: Given that : P(t) = 2t and h(t) = 1 + 3t

Q: Let f(x) = 2^x+ x. Find (f ^−1)′(1).

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Q: A startup business projects its instantaneous rate of revenue flow to be given by R(x)=120,000e^.03t…

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Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

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Q: retail store estimates that weekly sales s and weekly advertising costs x both in dollars are…

A: Given that a retail store estimates that weekly sales s and weekly advertising costs x both in…

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.