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

(x - 5) / (x 2 + 2x - 15)
GH
Answered by George H. • Maths tutor
5548 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 this w...
RB
Answered by Raina B. • Maths tutor
5931 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 tang...
MZ
Answered by Mario Z. • Maths tutor
2240 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)f(x+h) + g(x)f(x+h)- f...
BV
Answered by Blaine V. • Maths tutor
3835 Views

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

32x + 7
BH
Answered by Bodrul H. • Maths tutor
3716 Views