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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.
In this last section of this chapter we have to look at some applications of exponential & logarithm functions. Compound Interest This first application is compounding inte
the sum of three numbers is 396. what is the second number if the third is number 7 more than the first number and 2 more than the second number?
2x+2=2 then x value?
Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. ??2+??2+16??-18??+145=25.
The topic along with functions which we ought to deal with is combining functions. For the most part this means performing fundamental arithmetic (subtraction, addition, multiplic
xifx+6=33..
x^3-3x^2+x-3=0
We desire to look at the graph of quadratic function. The most general form of a quadratic function is, f (x ) = ax 2 + bx
y = 5x, solve for x
2x-y=32 2x+y=60
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