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How can I integrate e^x sin(x)?

This integral is a particularly difficult integral that has shown up in STEP questions before. It's not hard because of how difficult the actual calculations are, but more because of how hard it is to spo...

Answered by Lawrence H. • STEP tutor

3007 Views

How could I sketch a graph of y=2x^3-3x^2?

To sketch a graph of an equation, there are several key features to consider. Firstly, we can consider where the graph crosses the x- and y-axes. When x=0, y=0, so the graph goes through the origin. If y=...

Answered by Lawrence H. • Maths tutor

12338 Views

Let f(x)=x^2-ax+a-1 and g(x)=x-5. The graphs of f and g intersect at one distinct point. Find the possible values of a.

If the two graphs intersect, it means that they will share the same y and x coordinates at one particular point. (I will draw diagram to show point).

Therefore, you can set f(x)=g(x) so that x^2 -...

Answered by Andres O. • Maths tutor

7862 Views

What is the difference between 'ser' and 'estar'?

As with 'por' vs 'para, understanding how to use the verbs 'ser' and 'estar' can be tricky when learning Spanish, given both verbs translate as 'to be' in English. As a general rule, 'ser' is used to desc...

Answered by Emily E. • Spanish tutor

2966 Views

Putting bee honey on a cut kills bacteria. Honey contains a high concentration of sugar. Use your knowledge of water potential to suggest how putting honey on a cut kills bacteria. (AQA BIOL1)

Sugar is a solute and is able to dissolve in water. When sugar is dissolved in water, it has a low water potential. Water moves from a high water potential to a low water potential; from where there is a ...

Answered by Charlotte S. • Biology tutor

25222 Views