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This can be achieved through integrating by parts. The term we wish to differentiate and ultimately eliminate here is the x^2 term. There by applying the formula twice the integration can be accomplished....

Firstly the general formula you can use on each of the x terms in the polynomial you are trying to differentiate is; f(x)=xⁿ then f '(x)=nx^n-1 where any constant, c, will differentia...

We know that to complete the square we put the equation in the form (ax+b)^2+c=0. So we must do that to our equation.

We will begin by establishing what will be within our squared brackets. As ther...

3a + 12 = ac + 5f 3a - ac = 5f - 12 a(3-c) = 5f - 12 a = (5f - 12)/ (3 - c)

Rearrange line into standard form.

y=5/3*x +1 

For parallel lines the gradient is the same therefore m = 5/3

Point of intersection is where two lines equal eachother

multiply o...