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We are looking for a sum of numbers- this means that both numbers have to be less than 30. Start by writing down all prime numbers less than 30: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Do you see any two numb...

Observe neither x=7 or x=(-4) are solutionsMultiply through by (x-7), x + 6(x-7)/(x+4) = (x-7)Subtract x, 6(x-7)/(x+4) = -7Multiply through by (x+4), 6(x-7) = -7(x+4)Therefore, 6x - 42 = -7x - 28Rearrang...

Perhaps it would be good to create a checklist of things to write in your essay, similar to the PEEL format for GCSE students or something slightly more complex for older students. It is important to memo...

2^x = e^{ln(2^x)} = e^xln(2) , d/dx(e^xln(2)) = ln(2)e^xln(2) = ln(2)*2^x

let u=kx,du/dx=ky= 4 sin(u)dy/du= 4cos(u)
dy/dx= du/dx*dy/du = 4kcos(u) =4kcos(kx)