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Remove the brackets: −{−2[x−3(y−4)]−5(z+6)}

First Step: - {-2[x-3y+12]-5z-30} Second Step: - {-2x+6y-24-5z-30} Third Step (Order is x,y, then z) : - {-2x+6y-5z-54} Final Step: 2x-6y+5z+30

VZ
Answered by Victoria Z. Maths tutor
5275 Views

Using complex numbers, derive the trigonometric identities for cos(2θ) and sin(2θ).

When dealing with complex numbers and trigonometric functions, always turn to DeMoivre's Theorem that states [cos(θ)+isin(θ)]n = [cos(nθ)+isin(nθ)]. If we set n=2, the we see a combina...

TK
Answered by Thomas K. Maths tutor
8624 Views

Integrate (x+3)^(1/2) .dx

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Here we need to make a U sibstitution. So we take (x+3) and make this equal U so we now have the integral of u^1/2   . dx

In order to s...

CZ
Answered by Callum Z. Maths tutor
4471 Views

How do I solve simultaenous equations? e.g. 2x -5y =11 and 3x+2y=7

Step 1: Multiply both equations together so that the multiples of one of the unknown terms are the same or the negative of that number. This will allow you to add/subtract the two equations to eliminate o...

MK
Answered by Matthew K. Maths tutor
3355 Views

Find the area of a circle with a diameter of 4cm.

The diameter of a circle is the longest measurement across the circle, and is a straight line passing through the middle. Half of this line is the radius, which is a straight line from the centre of the c...

SS
Answered by Sabrina S. Maths tutor
16948 Views

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