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The idea here is to explain to the student that i^2=-1, and to expand and simplify the brackets in question just like they would with simple algebra. Therefore: (5+3i)*(3+5i)=15+25i+9i+15i^2=15+34i-15=34i St...

x=1x=7

First find the coordinates of the point in question:We know x=0By plugging this into the equation of the line we get y=(0-2) 2 = (-2) 2 = 4Therefore the point is (0,4) To find the gradient of a line, we diff...

There are a number of ways of looking at the limiting behaviour of a fraction. Let’s look at three examples:1) a(n) = 2n+1/7n —> divide into two separate terms, that both clearly converge. 2) b(n) = 2/( n...

The chain rule is a rule that is used when calculating the derivative of a function. If you have a function within a function, i.e. f(g(x)), then the derivative is calculated as follows: df/dx = (df/dg) (dg/...