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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.
Lee is taking some friends on a picnic. They''ll need to follow a path to get to the picnic spot. A map of the path is based on a scale of 1:30,000, in cm. If the path is 12 cm on
-16 = n + 1
(m2-3m-10)/(m-5)
The sum of the sides of a triangle is 9 2/9 inches.If the two sides measure 5/3 inches and 3 1/6 inches,find the measure of the third side
Four pounds of appples cost $1.96
Harold’s movie theater increased the price of admission 20%. Tickets had sold for $7.00. What is the current ticket price? Percent of Decrease: 3. Original Price: $45
1.(x+y+1)² 2.(x+y-1)² 3.(x-y-1)² 4.(-x-y-1)² question: what is the effect of switching the plus sign to minus sign on the product
3x+5y=10
The average U.S. citizen consumes about 2.5 × 102 L of water per day for various uses. In 2013, there were about 3.16 × 108 U.S. citizens. About how many kiloliters of water were c
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