Search over 10,000 free study notes

4x + 7y = 1 1. 3x + 10y = 15  2. 1. x 3 (4x x 3) + (7y x 3) = 1 x 3                       12x + 21y = 3  3. 2. x 4  (3x x 4) + (10y x 4) = 15 x 4                         12x + 40y = 60  4. 4. - 3.  (12x -...

1st multiply out the brackets:

y = 4x + 8 / 5x - 1

Next multiply both sides by the denominator onf the RHS:

y(5x-1)  = 4x + 8

Again, multiply out the brackets:

5xy - y =...

First step is to seperate the variables (EQ1) : (1/y^2) dy = 6x   Then we integrate each side seperately giving us (EQ2) : -1/y = 3x^2 + C (remembering to add 1 to the power and divide by the new power) s...

I would differentiate it and then turn it into an equation to find the points where the gradient equals zero. With these points at hand, I would take a second derivative, this tells me how the gradient ch...

(a)  9x+11/(2x+3)(x-1) = A/2x+3 + B/x-1
      9x+11 = (x-1)A + (2x+3)B
      Setting x=1 gives B=4, setting x=-3/2 gives A=1
      so the final answer is 1/(2x+3) + 4/(x-1)