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What the integral of e^2x*x? (limits 0,1)

Whenever you see an integral with a product as the integrand, check if integration by parts works. That is, Int(v(x)*u'(x)) = u(x)v(x)-int(u(x) v'(x)) So you should see that its easier to call v(x)=x and u'(...
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Answered by Oliver O. • Maths tutor
4712 Views

A shop trying to sell a laptop reduces its price by 7% at the very end of each week, from an initial price of £600. If you have £365 to spend, how many weeks must you wait until you can buy the laptop?

This is a simple question, but it's important to not get confused when thinking about how the laptop's price gets reduced. We know the price starts at £600, and that it goes down by 7% each week. If somethin...
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Answered by Kiavash S. • Maths tutor
3696 Views

Translate the following adapted article about the school of the future into English

Дети — наше будущее. Я хочу видеть школу будущего на основе школы прошлого, где ученики учатся и где им нравится заниматься. В такой школе есть атмосфера молодости, любви, и творчества. Это то место образова...
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Answered by Elena K. • Russian tutor
1744 Views

Briefly outline the tripartite view of knowledge and explain how a case of a lucky true belief (a Gettier-style problem) can be used to argue against this view.

On a tripartite theory of knowledge, having propositional knowledge consists in having a justified, true belief that a certain proposition obtains. For example, to know that it will rain tomorrow consists, o...
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Answered by Mark O. • Philosophy tutor
16036 Views

How do you find the stationary points on a curve?

Let y = f(x). The gradient of the tangent to the curve at a stationary point is equal to 0. To find an equation for the gradient of the curve, differentiate f(x) to get dy/dx. Because we are looking for stat...
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Answered by Caroline M. • Maths tutor
4423 Views