Let g1, 82, 8k: R → R be convex. (a) Show that g = max {g₁, ..., gk} is convex. (b) Is ğ = min{g₁,..., gk} convex? Justify your answer. ... 9

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Q: Evaluate the Cauchy principal value of the given improper integral. 100x² sin(x) x² + 6x + 10 dx

A: Let                 where I.P. means Imaginary part             Let                 for…

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A: Both the sets are uncountable.

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Q: Let a and BE R. Consider the linear optimization model: min s.t. x1 + x2 αX1 + βα2 > 1 x1 ≥ 0,₂ € R.…

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Q: 41. Evaluate the line integral over the given curve C. (9x + 3y)ds; r(t) = (t - 9)i + tj, 0 ≤ t ≤ 4.…

A: We have to evaluate the line integral over the given curve C."Since you have posted multiple…

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Q: determine its LCC

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Q: (0,。) - V (10)

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A: Here we can use the composition of function formula to find the required values.

Q: Consider the following matrix A and its reduced row-echelon form: 3 -3 12 -6 -27 -24 1 -1 4 -2 -9 -8…

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Q: Which of the following is not a possible zero of f(x)=4x^5-2x^3+10? 3,5,5/2,3/2 , why?

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Q: Let F = (yey, xey) and let C be given by: x = sin(t), y et-¹ (1- = cos(πt)), 0≤ t ≤ 1. Show that is…

A: On xy-plane a function  is conservative if