For the birthday problem, Example 1.3.3, use the given R function bday todetermine the value of n so that p(n) ≥ 0.5 and p(n − 1) < 0.5, where p(n) is theprobability that at least two people in the room of n people have the same birthday.

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Q: 4.2 Apply the appropriate method to calculate the following: 1 = f***-8 I = S x2-4

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Q: 2. Find the domain and the critical points of the following func- tions on their domain: g(x) = 3x5…

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Q: find the critical point for the function f(x)=2 x3+3 x2 - 72x+ 14 %3D O None O 4,3 -1,2 O 3,-4

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Q: For any n large enough, prove E" ) – = 0(1). k=0

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

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Q: Consider the following LP Min z = 3x, + 2.x, +7x, s.t - x, + X, =10 -2x, + x, - x, <-10 *,X,,x, 2 0…

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Q: 9. Find the local and absolute extreme values on k(x)=(x-2)° +3 on | the interval [0,5].

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Q: Find the x values of the two critical points of: 3(x- 1)23 6x – x² - 5 if x > 2. if x < 2 f(x)%3D X…

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

A: Given data, total mosquitos = 554 everyday mosquitos increaments p(0) = 65

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

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Q: Suppose P(t)represents the population of a certain mosquito colony, where tt is measured in days.…

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Q: 7.1 Consider the univariate function f(x) = a° + 6x² – 3x – 5. Find its stationary points and…

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

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Q: Indicate all critical points on the graph of † in the figure below and determine which correspond to…

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Q: Suppose P(t) represents the population of a certain mosquito colony, wheret is measured in days. The…

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Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days.…

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Q: Determine all critical point(s) for the following function.    f(x)=x^2-12x+5

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