Solve the simultaneous equations xy=2 and y=3x+5.

x=1/3 and y=6 or x=-2 and y=-1

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A straight line passes trough the points A(-4;7); B(6;-5); C(8;t). Use an algebraic method to work out the value of t.


Differentiate y = x*cos(2x)


Show that 2cos^2(x) = 2 - 2sin^2(x) and hence solve 2cos^2(x) + 3sin(x) = 3 for 0<x<180


What is differentiation used for?


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