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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

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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

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Express x^2+2x+4 in the form (x+a)^2 + b, hence find the stationary point of the curve.

Step 1) x²+2x+4 = (x+1)²+3Step 2) Minimum point occurs at (-1, 3)
I can use the whiteboard to explain it better.

Answered by Anton N. • Maths tutor

6314 Views

Find the integral of the function y = ln(x)

(I can use the whiteboard for to explain it better)1) Express y = ln(x) as y = ln(x) * 12) Use integration by parts with u = ln(x), v'=(1), u'=1/x, v = xintegral = xln(x) - integral(x*1/x) =xln(x) - integ...

Answered by Anton N. • Maths tutor

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