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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", whic
What is the solution of 6w-8>22?
We have to give one last note on interval notation before moving on to solving inequalities. Always recall that while we are writing down an interval notation for inequality that t
Solve (3x+ 1/ x + 4 ) ≥ 1. Solution The first thing that we have to do here is subtract 1 from both of sides and then get everything in a single rational expression. (3
We've been talking regarding zeroes of polynomial and why we require them for a couple of sections now. However, we haven't really talked regarding how to actually determine them f
Miscellaneous Functions The importance of this section is to introduce you with some other functions that don't really need the work to graph that the ones which we've looked
how to do algbra
Example: prove that the roots of the below given polynomial satisfy the rational root theorem. P ( x ) = 12x 3 - 41x 2 - 38x + 40 = ( x - 4) (3x - 2) ( 4x +5) Solution
There are also two lines on each of the graph. These lines are called asymptotes and as the graphs illustrates as we make x large (in both the +ve and -ve sense) the graph of the h
r+7= r=3
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