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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...

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...

We use the factor theorem which states that (2x+1) is a factor of p(x) if and only if the root of (2x+1)=0 is also a root of p(x). The root of 2x+1=0 is x = -1/2 (-1 from both sides and then divide both s...

Firstly it will help to draw a diagram of our two points along the x-axis, from this we can find out the x co-ordinate of the center of the circle as these points form a chord of the circle. Where in this...