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How might one simplify this? It looks as though raising both sides to the power 4 is the way to go, but it is not immediately obvious how to do this. In order to get both sides into the form 'log of somet...

The events must occur:

randomly; singly in space or time; independely of each other and at a constant rate

If the expression to be differentiated is a (differentiable) function of another (differentiable) function, then the chain rule must be applied. For example y= f(g(x)), where f and g are both differentiab...

(x-4x³) = x(1-4x²)  Just taking a factor of x out of both terms Within the inner bracket we have a difference of two squares. 1²=1 and (2x)²=4x² ther...

First step is to seperate the variables (EQ1) : (1/y^2) dy = 6x   Then we integrate each side seperately giving us (EQ2) : -1/y = 3x^2 + C (remembering to add 1 to the power and divide by the new power) s...