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1. In real world optimisation problems there is often an accompanying constraint that must also be satisfied. These problems are typically solved using "Lagrange Multipliers", which make use of several ideas that you have learned in MAB122.
(a) Consult the library or Internet to investigate how constrained optimisation using Lagrange Multipliers works. Summarise what you find (no more than 1 page).
(b) Use Lagrange Multipliers to determine the point(s) on the surface xy - z2 = 1 which are closest to the origin.
Solve a quadratic equation through completing the square Now it's time to see how we employ completing the square to solve out a quadratic equation. The procedure is best seen
calculate this three-wire thread problem.1/2-20 with wire size 0.032"
(x^6-13x+42)/(x^3-7)
3u^3-5u^2-2u=0
how do you graph linear equations?
In the last two sections of this chapter we desire to discuss solving equations & inequalities that have absolute values. We will look at equations along with absolute value in th
exammples
5(-4x+70+5
2x^2+7x+3/x^2-2x-15
600tyou
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