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How do you solve a Differential equation using integrating factors?

Check the equation is in the form dy/dx + P(x) y=Q(x) (show example) Find the int factor: I(x)=e^{integralP(x) dx}Multiply all terms by the integrating factorMake sure you show this step clearly: ...

Answered by Rachael B. • Maths tutor

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How do i structure my essays efficiently

The easiest way to structure and History Essay is a short snappy introduction that grabs the attention of the examiner. The aim should be to outline the key points you are going to talk about in the essay...

Answered by George B. • History tutor

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Exam knowledge: How do I structure a question that asks me about the usefulness of a source? (AQA)

The first thing to remember in a question such as this is that an introduction is NOT needed. It wastes time and will not allow you to evaluate the source fully. The question is

Answered by Daniel D. • History tutor

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The region below the curve y = e^x + e^(-x) and the lines x = 0, x = ln4 is rotated 2π radians about the x-axis. Find the volume of the resulting solid.

We can use the formula for a Volume of Revolution: V =π ∫ (e^x + e^(-x))^2 dx, with limits x = 0, x = ln4.Expanding the brackets: (e^x + e^(-x))^2 = e^2x + 2 + e^(-2x).So: V = π ∫ (e^2x + 2 + e^(-2x)) dx ...

Answered by Rumen S. • Maths tutor

3928 Views

What is the difference between a scalar product and a vector product, and how do I know which one to use in questions?

The main thing to consider here is the output of the operation. Vector and scalar products are both operations in which you take two vectors but then get something else. In a scalar product, you get a num...

Answered by Maite E. • Maths tutor

6919 Views