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This question require you to differentiate. The general rule for this format of differentiation is to multiply the number in front of the x by the power of the x and then reduce the power by one (in formu...

There are 3 main ways of solving a quadratic equation x^2 + bx + c = 0 (we'll suppose the coefficient of x^2 is 1 for now). The first is factorisation, where if you can spot that you can factorise the exp...

What we're aiming to do is to have the 5x and 3x on the same side, and the constants on the other side of the inequality. So first let's subtract 3x from both sides, which gives 5x-3x-13>-7. Now to 'mo...

Let u=2a+3, therefore du/da=2. Let y=u^5/2, therefore dy/du=5/2(u)^3/2 Hence dy/da=du/da*dy/du=2(5/2)*u^3/2=5u^3/2

So for this question you would need to know the formula for the area of a circle. This is Area = πr^2. In this formula, r = the radius. We are given the radius in the question. So all we need to do is put...