S(t) = 0.1 x (100-t)0.5, 0<=t<=100. Please calculate: f(36) h(50) H(75)

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Q: Graph the functions

A: We make table for each potion  G(x)=1/x  x -3 -2 -1 -0.01 y -0.33 -0.5 -1 -100   G(x)=x…

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A: Given function is f(x) = ex  Given that x = -2.7183

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Q: 44. Find f(x) if f(x) = 1/(2 - x).

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Q: t to Hath! fox

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

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A: Find first derivative using exponent rule and chain rule.

Q: Consider the function f (x) = -x² + 10. Find the average rate of change in the interval -5 <x < -1.

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Q: F(s) = exp(-s) exp(s) -exp(s)/s² 2/s³-1/s² -exp(s) (1/s² - 1/s) exp(-s)/s² 1/s² - 1/s exp(-s) (1/s²…

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Q: Let s(x) = 3 - x and t(x) = x² – x – 6. Find the following function value. (s/t)(1)

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A: Sol:- To find Instantaneous rate of change of  f(x)= -3x2-6x  at x =-2 We have to use the following…

Q: You wish to evaluate the differences in educational quality between two training centres (A and B).…

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Q: The population (in ten thousands) of a city from 2010 (t = 0) to 2018 (t = 8) is modeled by p(t) =…

A: We are given the model of the population by p(t)=0.25t2+98t+2400,  0≤t≤8. The average rate of change…