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Given the equation of the straight line is: x+y=9 and the equation of the circle is: (x-2)²+(y-3)²=16 , find the point or points of intersection? The equation x+y=9 can be rearranged...

Paper 1 is a source-based paper split into four questions. Each question requires a different technique in order to gain top marks.

Question 1 is split into two parts, both parts are testing your b...

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