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What is a hurricane and outline the structure of a hurricane

A hurricane is a type of tropical cyclone, which is a generic term for a low pressure system that generally forms in the tropics. The cyclone is accompanied by thunderstorms and, in the Northern Hemispher...

Answered by Katie L. • Geography tutor

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Solve the simultaneous equations algebraically

x²+y²=25 and y-3x=13Step 1 is to label the equations (1) and (2). We shall label the first equation, the quadratic, as equation (1) and the second equation, the linear, as equation (...

Answered by Andrew E. • Maths tutor

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You are given the equation y=x^2. Determine whether or not the equation has any maximums or minimums and identify them (whether they are maximums or minimums).

The question has given us a function and wants us to determine whether or not any maximums/minimums exist (and if so identify then). We know maximums/minimums occur when the derivative of the equation is ...

Answered by Lana M. • Maths tutor

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Given that sin(x) + cos(x) = 2/3, find cos(4x)

It is not clear what to do when starting, but we realise that by making both sides to the power of two, will lead to have an expression containing sin^2(x) + cos^2(x), which is equal to one (which will pr...

Answered by Felipe R. • Maths tutor

4315 Views

Find the area enclosed between the curves y = f(x) and y = g(x)

Don't forget, in order to find the area under a curve y=f(x) between two values x=a and x=b we integrate f(x) between a and b.Thus to find the area enclosed between two curves y=f(x) and y=g(x) we simply ...

Answered by Matthew G. • Maths tutor

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