Suppose that you have two sets, and you know that both sets are convex. Proven that the intersection of those two sets is also convex.

Q: 12] and a3 = -20 4 -------- Let a₁ = h 5 2 The set {a1, a2, a3} will span R³ unless h = 0

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Q: 1 Determine whether or not the three given points le on a ne A (1,1,2), B(-1,-9, 3), C (3,2,1) 2.…

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Q: The point (x₁, x₂) = (4, 3) is feasible for the constraint 3x₁ + 5x₂ ≤ 40. True False

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Q: In this question we prove that certain sets are not convex. For each of the following sets, give the…

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Q: nis question we prove that certain sets are not convex. each of the following sets, give the…

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Q: If Si and S2 are convex sets, is their union S1 U S2 a convex set. Explain your answer.

A: The union of two convex sets is not convex.

Q: Let 1, 2, y be decision variables, 91 (1, 2) and 92 (1, 2) linear functions, and b₁ < 100 and b2200…

A: Let  be decision varables.  and  are linear functions. are input parameters.The given constraints…

Q: 1) Which of the following point sets are in general position? aj {(0,1), (1,3),(2,5)}, b.) {(0,0),…

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Q: f those question are

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 6. Try to write the dual problem form of the following minimum value problem. Min C=2x, + 3x, Sate X…

A: Given Primal is   Min Cx = 2x1 + 3x2 subject to x1 + x2 ≥ 2 2x1 + 3x2 ≥ 6 x1 ≥ 0,  x2 ≥ 0

Q: At the end of each week, the inventory for each cookie is equal to the amount baked plus the…

A: The option that models the given constraint is: Ii,t= Ii,t-1 + xi,t - di,t  ∀i=1,.....,m…

Q: Determine whether the given set is linearly independent.

A: We will check that given set is linearly independent or not using definition of linear independency.…

Q: Two segments are congruent only if they have 2 or more points in common. O True O False

A: Two segments are congruent if and only if they have two or more points in common.

Q: Don't  give AI answer  plz give correct answer.  Prove that vertex v is an articulation point if and…

A: The objective of this question is to prove that a vertex v in a graph is an articulation point if…

Q: If the point (2,2) is in the feasible set and the vertices of the feasible set are…

A: we have given the points (0,0),(0,20),(8,16),(14,9),(17,0) are the vertices of feasible regionand…

Q: This graph shows the number of visitors, in thousands, to a museum each year. Museum Visitors 24 22…

A: Given graph is Here x coordinate shows year and y coordinate shows the number of visitors(in…