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This question raises a number of issues: whether women have complete freedom over their body's or not; at what point does a foetus become a person; should a foetus with a disability be treated differently...

1.Differentiating: f'(x)= 2cosh(x)+3sinh(x) At a stationary point, we know f'(x)=0. Therefore 2cosh(x)+3sinh(x)=0. (easy to forget that unlike nromal trig there is no change in sign) Rearranging gives tan...

Start the integration by parts process

|udv = uv - |vdu

  u = (ln x)²             dv = x⁷ dx

du = 2(ln x)/x dx         v = 1/8 x⁸

For a 6 marker, you should be developing 2 distinct points, totalling 4 marks, and then providing a well reasoned evaluation as a conclusion for the last 2 marks. For the two distinct points, it is import...

We know that the equation of the area of a rectangle is width times by length. Therefore:

8=(3x+1)(2x+5)

If we multiply out the brackets we get:

8=(6x²+2x+15x+5), thus, 8=6...