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Use the method of integration by parts. uv-integral(v.du/dx). Make u equal to ln(x) and dv/dx equal to 1. Therefore v=x and du/dx=1/x. Hence uv=xln(x). And v.du/dx=x/x=1. Substituting these into the 'by p...

Firstly work out (using the sin cos tan triangle and soh cah toa) what cos 30° and tan 60° are equal to so tan 60° = √3 and cos 30° = √3 / 2 then substitute these values into the euqation giving 12 x √3 /...

To solve this question we will use the chain rule, as we can see that we have one function being applied to another, i.e sin is being applied to cos(x).

This means we are able to replace the origin...

Firstly substitute her first value into the equation so w=1 giving (3 x 1) - (1)^3 = 3 - 1= 2 so her first value for w is correct Next substitute the second value into the equation so w= -1 giving (3 x -1...

1. Draw a line pointing North from point A.

2. Use a ruler to draw a line that joins points A and B.

3. Use a protractor to measure the angle between the line that is ...