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Find the opposite length of the triangle with hypotenuse length 5 and adjacent length 4.

I would start off by asking them if they know the Pythagoras theorem. If they don't, I would refresh their memory and explain that its a 2 +b 2 =c 2 where c is the hypotenuse (longest length). I would then a...
FD
Answered by Fatema D. • Maths tutor
3469 Views

How do I integrate x/(x^2 + 3) ?

To solve this you need to integrate by substitution. You can spot this because the differential of the bottom of the fraction is a multiple of the top part, showing this quickly; if u = x 2 + 3 (the bottom p...
KM
Answered by Knox M. • Maths tutor
13938 Views

integrate by parts the equation dy/dx = (3x-4)(2x^2+5).

The equation we use to integrate by parts is y = uv - ∫ v(du/dx) dx + c so we separate dy/dx into u=(3x-4) and dv/dx=(2x 2 +5) however we still need to find du/dx and v, by differentiating u (bring the power...
AH
Answered by Abby H. • Maths tutor
6426 Views

What is de Moivre's theorem?

de Moivre worked out a brilliant and beautiful way to solve complex equations. If you for example have z 3 = 1 and you want to find all real and complex z that satisfy this equation. i is just a complex numb...
FD
2540 Views

solve for x: (x-2)(x+3)=2(2x+11)

expand the brackets to get x 2 -2x+3x-6=4x+22 bring all the terms to one side x 2 -2x+3x-6-4x-22=0 (remember:if you do something to one side, do the same thing to the other! e.g. -4x on both side) gather all...
JR
Answered by Jack R. • Maths tutor
5918 Views