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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...

Enzymes act as biological catalysts for reaction that occur in organisms such as animals and plants. This means that they help to speed up reactions, or allow them to take place at lower ...