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To solve this problem, we have to look at some trig. identities that will help us simplify the problem.The formula booklet is always a great place to start! You can find that sec^2(x) = 1 + tan^2(x). Subs...

First we expand the brackets by squaring each side(4n-3)² = (4n-3)(4n-3)= 16n² - 24n + 9(2n+5)² = (2n+5)(2n+5)= 4n² + 20n + 25Remember the expression i...

First part of the question is to recognise that these are surds and we will need to simplify them. Then it is asking to place the values from smallest to highest. In order to simplify the surds we have t...

2x² = x + 62x² - x - 6 = 0
[+-1 x-12]2x² - 4x + 3x - 6 =02x(x-2) 3(x-2) = 0(2x + 3)(x-2) = 0x =2 or -3/2
y = 2 + 6 y = 8
y = -3/2 + 6y = 9/2
(2,8)(-3/2...

'With respect to X' means we will be differentiating all the X parts (To put it simply). First we show that the differential of Sin(X) is Cos(X), we can show this graphically using the whiteboard. Then we...