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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
5635 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)+ i sin(nθ)]. If we set n=2, the we see a combination of cos(2θ) and ...
TK
Answered by Thomas K. • Maths tutor
9575 Views

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

[whiteboard feature does not seam to be working here] 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 switch to .du and do ...
CZ
Answered by Callum Z. • Maths tutor
5239 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 one ...
MK
Answered by Matthew K. • Maths tutor
3809 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 circ...
SS
Answered by Sabrina S. • Maths tutor
19124 Views