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The objective for this question is to work out what number 'x' represents in order for this equation to be true. This simply means that we want to find the number that 'x' equals, so we ...

The total number of pens they need is 4 + 7 + 11 = 22However pens only come in packs of 10 so they have to round up the number of pens they need to the nearest 10 ... this is 30. Then 30 divided by 10 is ...

dy = sin(2x)cos(2x) dxlet u = sin(2x)du/dx = 2cos(2x)dx = du/2cos(2x)dy = (cos(2x)/2cos(2x))dudy = du/2y = u/2y = sin(2x)/2

We have:
√5(√8 + √18)
Now, multiply out the brackets (multiply everything inside the brackets by √5). This gives us
√40 + √90
We now need to simplify the SURDs. We know that we want th...

f(x)= xsin(x) >>>>>>>>>>>>>>>>>> integral[ udv/dx ] dx= uv - integral[v* du/dx] dx
let x=u and sin(x)=dv/dx >>>>>>>...