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  The turning point of a curve can be visualised in your head (or on paper/screen using diagram) as the point in which the curve charges direction – and at this point the gradient of the curve is equal to...

v=ln2, x=2ln2 - 2

aim is to move all numbers to one side and all the x to one side.
whatever you do to one side, you must do to the other side.
For example I want to remove -9 on the left by adding +9 to left si...

A/(3+x) + B/(1-x) + C/(2x+1) = (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1)So... A(1-x)(2x+1) + B(3+x)(2x+1) + C(3+x)(1-x) = (9x^2 + 43x + 8)Insert x=1Equation becomes 12B = 60 so B = 5.Then insert x=-3Equation beco...

The first step is to find dx/dt and dy/dt, this is done using standard differentiation rules giving the resultsdx/dt = 2t dy/dt = 2
The second step is to eliminate dt. This can be done by the mu...