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When dealing with powers of complex numbers, always start by putting the quantity into exponential form.
i has a magnitude of 1 and an ...
let y=arsinh(x)x=sinh(y)=(ey - e-y)/22x=ey - e-y2x*ey=ey-1 (multiply byey)0=(ey)2-2xey-1This i...
firsly sketch out the 2-2i on an argand diagrm and draw a line from (0,0) to (2,-2). With the shortest distance Mark the angle theta from the positive x-axis to the line to see whether the argument is ...
This is a typical further maths question, doing it correctly is a matter of carrying out a two-step process.
Start by finding the determinant of the matrix,
det(A)=ad-bc
Tangent is parallel, therefore (dy/dx)=0.
Find y:
y = r sin(x) = 3a(1 + cos(x))(sin(x))
Differentiate y with respect to x
dy/dx = 3a[(2cos(x) - 1...
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