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Firstly, recognise the relevant equations. The two functions are y = mx and y = ln(x). As the straight line is a tangent, we know that at a certain point x₀, the functions and ...

No, and we may take a counterexample to see why. If y=x^5+5/3x^4, dy/dx=5x^4+20/3x^3, d2y/dx2=20x^3+20x*2=20x^2(x+1). Setting this to 0 will give us the candidates for a POI, but not all these numbers wil...

This is a compound interest problem. Here we have to put 18 months in terms of years. There are 12 months in a year, so 18 months is a year and 6 months.
6 months is half a year, so 18 months repres...

We can use the cosine rule to determine the lenght of XY.
XY² = 10²+8²-2108cos ZXY² = 100+64-180(1/8) = 144XY = 12

Do 2x -2 = -4List these factors Choose two of those factors which equal to -3x, in this case 1 and -4 (or the other way around)Rewrite the equation as 2x² + x - 4x -2, then factorise this in tw...