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Maths
A Level

By forming and solving a quadratic equation, solve the equation 5*cosec(x) + cosec^2(x) = 2 - cot^2(x) in the interval 0<x<2*pi, giving the values of x in radians to three significant figures.

To solve the equation given in the question, we must first express the given equation in terms of only one trigonometric function, i.e. either all in cosec or all in cot. The easiest route would be cosec,...

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Answered by Nadia M. Maths tutor
8196 Views

Can I have help with integrating by parts? I am unsure on how to use the formula.

Integrating by parts is simple. Simply put the equation into two parts, U and dV/dx. When considering which part of the original function will be U and which part will take dV/dx, you should consider whic...

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Answered by Milo L. Maths tutor
2878 Views

A ball is thrown from ground level at an angle of 30 degrees from the horizontal with a velocity of 20 m/s. It just clears a wall with a height of 5m, from this calculate the distances that the wall could be from the starting position.

The first thing to do is draw a diagram to visualise the problem. Next we write down all the information the question gives us as well as which values we want to find. For this question it would be

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Answered by Aysha A. Maths tutor
3700 Views

How do I work out (2+y)^4 using the binomial expansion?

We're going to use the binomial expansion formula, which is a lot easier to remember than it looks:
(a+b)n=C0*an*b0 + C1*a(n-1)...

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Answered by Andrew B. Maths tutor
2959 Views

Find dy/dx at t=3, where x=t^3-5t^2+5t and y=2t^2

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