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To start off with we need to remove the two denominators (the bottom part of the fractions) on the left hand side of the equation. This can be achieved by multiplying the through the whole equation by (x-4)(...

For each term the aim is to raise the power of x by 1 and divide by the new power. For this question, each part of the expression can be looked at seperately to make things a bit easier: ∫(1 + 3√x + 5x)dx = ...

Lets say you are in a cubical grain silo, with a height of 12m, and a base with dimensions 3m by 4m. If you wanted to fit a pole in the silo, what is the largest possible length of the pole? The length we ar...

This question may start by giving you an equation, which you need to write in the form of the standard equation of a circle (usually by completing the square). This allows you to see the centre of the circle...

A: x 3 /3 + 3ln(x) + A. Step-by-step solution: Integral (x 2 +3/x dx) = [as integrals preserve sums] integral (x 2 dx) + integral (3/x dx) = [raise exponent by one, multiply by the reciprocal, add a constant...