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How to find the reciprocal of a graph, such as y=cos(x)?

To find the reciprocal of any graph, first consider the key points, in this case: (0,1), (90,0), (180,-1), (270,0) and (360,1). Since we are finding the reciprocal in the y-axis, we can find the reciprocal o...
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Answered by Aqeel A. • Maths tutor
5893 Views

Let f(x) = x * sin(2x). Find the area beneath the graph of y = f(x), bounded by the x-axis, the y-axis and the line x = π/2.

After short consideration, we see that we must integrate f(x) with respect to x, between 0 and π/2, using integration by parts. Taking the formula for integration by parts, we set u = x and dv/dx = sin(2x). ...
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Answered by Benjamin C. • Maths tutor
5497 Views

How to expand squared brackets?

Take, for example, the bracket (a+5)^2. The longer way to do it would be to write (a+5)^2 as (a+5)(a+5) and multiply out that way. However, there is a shorter way where all you have to do is square the first...
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Answered by Diana C. • Maths tutor
40401 Views

What is integration?

Integration is the reverse of calculating the derivative in maths. We can use integration to determine the area under a graph between to x values. I will demonstrate a basic integration question to show you....
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Answered by Dorothy H. • Maths tutor
4456 Views

Differentiate x^(4) + x^(1/2) + 3x^(5)

When considering a term in the form of x n , we use the rule nx n-1 when differentiating. So, we multiply the power of x by the coefficient (number in front) of x and then minus one from the power of x. In t...
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Answered by Emily P. • Maths tutor
4036 Views