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When given a sequence of numbers, there is often a rule using n, which symbolises the term of the sequence. For example in the sequence 3, 5, 7, 9, when n=1 it is referring to 3, since this is the first t...

First we realize that the question asks IF there is a solutionLet us start with the simplest equations, x+y=3 and 2x+y=5By subtracting the first equation from the second we see x=2 and subbing into x+y=3 ...

This tests the students knowledge of differentiation rules as well as algebraic manipulation. Namely the product rule and implicit differentiation. Differentiate term by term and then isolate dy/dx using ...

First of all, as with every question, we need to write down the information we have. so we know that y is 20% bigger than x meaning y=1.2x. this is because to increase x by 20% you need to multiply by 1.2...

In the form (x-x1)^2+(y-y1)^2=r^2
Hence equation is: (x-2)^2+(y-9)^2=16