Q1.- a) Consider the following optimization problem: min 5x1 – 6x2 + 4x3 s.t 2x1 +3x2 -x3<-2 -x1 +2x2 +2x3 <3 x1,x2,x3 20 Show graphically that the dual of this problem is unbounded. What does this say about the primal optimization problem?

What’s all the parts for y=2xsquare-5

Find the minimum of the function f(x) = x³ – 5x³ – 13x + 4 using quadratic interpolation. Use x0 = 0, x1 = 2, x2 = 4 as an initial quess. Tip: Make table with x0,x1,x2,x3, f (x0),ƒ (x1), f(x2),f(x3). Remove the worst quess from these and arrange 20,x1,x2 values in ascending order then conducts iteration ie. calculate new x3 and f (x3) iterate again until you get two same į values with for example five decimal points. Insert the numerical value of minium value for f(x) here f_x = -30.176 Verify your answer here fi = -30.176

Hello,  I was stuck on this one Optimization problem for Calculus A.  The question is: A water tank is in the form of a triangular prism. The bottom is an equilateral triangle and the top is open. The volume of the tank must be 1000sqrt3 cubic inches. What is the minimum surface area of the tank? [Note: The Area of an equilateral triangle with a side length of x, is x2sqrt3/4]   Thanks

please solve

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maths

If you know that Q(r) is a quadratic function and that Q(4) - 5, Q(9) = 2 and Q( – 10) = - 1 then: Q(x) |(2 – 4)(x – 9)(x + 10) dr