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The most simple way to find the gradient of a quadratic curve at a point is to differentiate. Through differentiation a function for the gradient at each value of x can be found. 'y' must be isolated on o...

We start by multiplying both sides of the equation by (4 -a). We then expand the brackets "p.(4-a)" and end up with "4p - pa". We then gather the "a's" to one side of the equ...

First, take the 2x and multiply each term in the second bracket by it to give 2x.3x=6x² and 2x.-3= -6x. Then multiply each term of the second bracket by +3 to give 3.3x= 9x and 3.-...

Give the general formula for determinant and inverse of 2x2 matrix. Calculate determinant=19-28=1 using formula inverse=1/determinant*(8,-2;-4,1)

Angles ABE and EQR are alternate interior angles. This means they are the same thus angle EQR = 60˚. We know that the sum of the interior angles of a triangle is equal to 180˚ and we know that angle QER =...