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express (3x + 5)/(x^2 + 2x - 15) - 2/(x - 3) as a single fraction its simplest form

(x - 5) / (x+ 2x - 15) 

GH
Answered by George H. Maths tutor
4869 Views

Solve the simultaneous equations 7x - 2y = 22 and 5x + 3y = 29

So we're going to solve this question using the elimination method. Now we can see that none of the x or y terms are the same in the 2 equations, so we have to make them the same. The easiet way to do thi...

RB
Answered by Raina B. Maths tutor
5053 Views

What is the equation of the tangent drawn to the curve y = x^3 - 2x + 1 at x = 2?

The equation of a two-dimensional non-vertical line can easily be determined if its gradient 'm' and a point on the line (x0, y0) is known, using the formula m = (y - y0) / (x - x0). The gradient of the t...

MZ
Answered by Mario Z. Maths tutor
1862 Views

Why does the product rule for differentiating functions work?

Let k(x) = f(x)g(x) then k'(x) = limit as h --> 0 of: (h(x+h)-h(x))/h = lim (f(x+h)g(x+h) - f(x)g(x))/h

We can factorise the numerator as:
f(x+h)g(x+h) - f(x)g(x) =f(x+h)g(x+h) -g(x)...

BV
Answered by Blaine V. Maths tutor
3241 Views

Given that y = 16x^2 + 7x - 3, find dy/dx [3 marks]

32x + 7

BH
Answered by Bodrul H. Maths tutor
3104 Views

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