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The points where the lines cross are the points where the two equations equal each other. To do this we solve simultaneous equations. Call equations as follows:(a) 3x - y = 4(b) x² + 7y = 5 Fir...

P is currently the subject of the formula, y needs to be isolated. To do so first we need to get rid of the square root on the right side of the formula. Opposite to square root is square, so if we square...

To expand the brackets we consider each bracket separately, (2m-3) which is multiplied by (m+1). Consider first the first identity in each bracket:2m x m = 2m²Then consider the first identity a...

Solution: 12x² + 3

Working:

General differentiation formular:  d/dx (axⁿ ) = an(x^n-1) 

So we multiply the coefficient (constant infront) of the x term...

To do this, we will only consider the direction vectors of each line. That is to say, the vector 'attached' to our λ and μ terms (which are called scalar parameters).We will do this because the angle betw...