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Find the integral of arctan(x)

This is a complex question, the proof of which is unlikely to be asked at maths A-level, however the process behind the proof practices fundamental knowledge for the subject. If a student can successfully fo...
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Answered by Ellie N. • Maths tutor
8357 Views

How do I find a stationary point on the curve?

Well that depends on the curve, but if it is a quadratic, we can do it with the following method. We know that differentiating the equation of the curve will give us the equation of the tangent to that curve...
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Answered by Natalia R. • Maths tutor
3355 Views

What is the name of a triangle with two equal sides and angles? What is the size of the angle x?

A triangle with two equal sides and angles is an isosceles triangle. Angle x will be shown in a diagram during the interview.
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Answered by Samir S. • Maths tutor
8140 Views

How do I apply the correct formulae and other methods to difficult looking questions?

The trick here is to figure out what topic the question relates to, and recall all relevant theory and formula. Often questions look tougher than they actually are. Begin by writing out what you know at the ...
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Answered by Ollie S. • Maths tutor
3451 Views

show y=3x-5 is tangent to x^2 + y^2 +2x -4y - 5 = 0 and the point where they touch

y=3x-5x^2 + (3x-5)^2 + 2x - 4(3x-5) - 5 = 0x^2 + 9x^2 -30x +25 + 2x -12x + 20 - 5 = 010x^2 -40x + 40 = 010 (x^2 - 4x +4) = 010(x - 2)^2 = 0x=2implies one point of contact, therefore tangenty = 3x - 5y = 6 -5...
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Answered by Robert M. • Maths tutor
2646 Views