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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...

Since L is parallel to y=4x+5 we know that the two lines have the same gradient. The gradient of a line in the form y=ax+b has is a, which means the gradient of y=4x+5 is 4, so L is y=4x+b and we just nee...

A function of the form shown in the question is called a composite function, it is a 'function of a function'. It can be differentiated by expanding the brackets and differentiating each term individually...

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