The number of bank robberies in a country for the years 2010-2018 is given in the following figure. Consider the closed interval [2010,2018]. (a) Give all relative maxima and minima and when they occur on the interval. (b) Give the absolute maxima and minima and when they occur on the interval. (a) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The relative maxima occur at the point(s) (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no relative maxima. 7000 6000-5419 5000 4000- 3000- 2000- 1000 2010 2012 2014 2016

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A: For the solution of the problem follow the next steps.

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A: 1st option is correct.

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A: Given Laplace function is Y(s) = -4ss2+49 + 24s2+64 - 8s3

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A: We will solve this by using formula of Fourier series

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A: Ans

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Q: (a) Show that V(x, y) = ln(1 + ²) + y² is a Lyapunov function for the system x' (t)= x(y-1), y(t)=-…

A: As per your query the solution of the part (a) of the problem 4 has been given in the next step.

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Q: Use variation of parameters to find a particular solution of y'' - Y = 4e-x 1-e-2x Yp (x) =

A: Solution of the differential equation, By using the method of Variation of perameters

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A: Given: m=5kg K=10 N/M C=5Nsm Natural frequency ωn=km=105=2=1.4142 Critical damping coefficient…

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Q: Suppose f, g € Cº[0, 1], and ||f|| = ||9|| Then ||f||2 = ||9||2.

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Q: Let fn be the n-th Fibonacci number of Example 3c in 8.1, k=n k=n An = Σκ=1+2+...+n, Bnk²= 1²…

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Q: Given y₁ (t) = ² and y2(t) = t−¹ satisfy the corresponding homogeneous equation of t²y" - 2y = t³ –…

A: Variation parameter method is used