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How do I integrate and differentiate 1/(x^2)?

1/(x2) can be written as x-2

We know that to differentiate you need to multiply by the value of the old power and minus 1 from it. This means dy/dx of y=...

Answered by Judy G. Maths tutor
3214 Views

what is 64 to the power of 2/3?

If a number is to the power of 2/3, you should think of it as to the power of 1/3 (so CUBE-rooted), and then being to the power of 2 (so squared).

So here, the cube root of 64 is 4, because 4x4x4=6...

Answered by Stephanie O. Maths tutor
72445 Views

How do I know when to use Sine, Cosine and Tangent

The easy way to remember these uses the acronym SOH-CAH-TOA

The function to use depends on the sides of the triangle you know in the problem. 

With right angled triangles each side has a nam...

Answered by Judy G. Maths tutor
15217 Views

Let w, z be complex numbers. Show that |wz|=|w||z|, and using the fact that x=|x|e^{arg(x)i}, show further that arg(wz)=arg(w)+arg(z) where |.| is the absolute value and arg(.) is the angle (in polar coordinates). Hence, find all solutions to x^n=1 .

Put w=a+bi, z=c+di where a, b, c, d are real, and i2=-1. Then |wz|2=|(a+bi)(c+di)|2=|ac-bd+(ad+cb)i|2=(ac)2+(bd)2-2bcd+(ad)2+(c...

Answered by Jihoon K. Maths tutor
6960 Views

Express 9^(3x+)1 in the form 3^y giving y in the form of ax+b where a and b are constants.

Fistly show that: 93x+1=3y

To find x we need to get the left hand side of the equation to be 3m(3x+1) where 3m

Answered by Judy G. Maths tutor
4963 Views

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