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Find the derivative of the curve e^(xy) = sin(y)

First we have to identify that implicit differentiation is used to solve this question. We can differentiate the first the LHS first, by using the chain rule, we know that the differentiation of e^(xy) is e^...
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Answered by Gouri G. • Maths tutor
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Differentiate (2a+3)^5/2 with respect to a

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
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Answered by George T. • Maths tutor
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How do I write an effective introduction to an essay question?

In most cases, an essay question is asking you to debate a certain topic. For example, if you were to study Doctor Faustus, a question-title may be "Does Marlowe present Faustus as a character with whom...
HB
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A pizza has a radius of 12cm. Calculate the area of the pizza in cm² , giving your answer as a multiple of π.

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 ou...
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Answered by Jess H. • Maths tutor
7454 Views

Using Fermat's Principle explain why it makes sense for light be refracted when crossing from one medium into another that has a different refractive index.

Fermat's Principle states that light will always take the path of least travel TIME (NOT DISTANCE), at a first glance it appears that the path of least time would be a straight line from A to B, but this isn...
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Answered by Sam H. • Physics tutor
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