Which of the following is not true about linear programming?   The value of the variables can be negative.   The objective is either to maximize or to minimize.   The relationship between variables can be expressed in equations or inequalities.   The actions are constrained.

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Q: 1. The integral of J, \z|dz along any closed path y is 0.

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Q: 5

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A: Given Ax=10x  We have to find 3×3 matrix A  Now

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Q: Let a, be recursively defined by ao = 3, an+1 = a - an for n 2 0. Find lim an.

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Q: 1. Let A = {0,1,2,3} and R a relation over A: R = {(0,0).(0,1).(0,3).(1,1),(1,0).(2,3).(3,3)} Check…

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Q: 6) Evaluate this expression. 7.4-(-3.7) A) - 3.7 B) 8.4 C) 11.1 D) 13.21

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Q: Find the area. a. Inside one leaf of the three-leaved rose cos30

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A: Introduction: A mapping or function whose domain and codomain are subsets of the set of real numbers…

Q: 2-Show that the following polynomials from a basis for P2. 1- 3x + 2x2,1 + x + 4x²,1 – 7x

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Q: 6. Find and classify all the equilibrium solutions of the given differential equation dy (y? – 4)(y…

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Q: 4. Solve the initial value problem x" – x = 85(t), - x(0) = 0, x'(0) = 0. Sketch the solution.

A: We have to solve the initial value problem.

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Q: le one leaf of the three-leaved rose * = cos30

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Q: 1+1

A: Given,              1+1

Q: () - (" ;')-(,".) Show that: n+1

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Q: 3- Let {u,v,w} be a basis for a vector space V. Is {u + v,u + w,v + w} a basis for V?

A: Solution

Q: 2) Solve the differential equation: (D² – 11D + 28)y = 50 – e30x + e 4x

A: We have to find the general solution of given differential equation.

Q: Find the area. a. Inside one leaf of the three-leaved rose = cos30

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