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The turning point of a curve occurs when the gradient of the line = 0The differential equation (dy/dx) equals the gradient of a line. Therefore in this case the differential equation will equal 0.dy/dx = ...
100=ab
P=2a+2b
P=2a+200/a
dP/da=2-200/a^2
dP/da=0 implies 2=200/a^2
a^2=100
a=-10,10
a is a length so t...
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To obtain the inverse fucntion basically all we have to do is re-arrange the equation and the do a small trick of swaping x and f(x), which can be done either at the start or at the end.
We must first remember that to integrate, we must increase the power by 1 and divide by this new power.
Therefore, to integrate 3x^2 + 4x + 9, we take the first term, 3x^2DJAnswered by Dylan J. • Maths tutor9326 Views
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