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Mechanics 1: How do you calculate the magnitude of impulse exerted on a particle during a collision of two particles, given their masses and velocities.

Conservation of momentum is the key principle always used in problems of these type. Here, it asks for the impulse, which is a force measured in Newtons, and it is defined as the change in momentum. F=m(v...

Answered by Ina H. • Maths tutor

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A curve is described by the equation (x^2)+4xy+(y^2)+27=0. The tangent to the point P, which lies on the curve, is parallel to the x-axis. Given the x-co-ordinate of P is negative, find the co-ordinates of P.

Firstly, implicitly differentiate the function to find dy/dx in terms of y and x: dy=dx = (-x-2y)/(2x+y). Secondly, set this equal to zero to obtain an expression of y in relation to x or vice versa: x=-2...

Answered by Rahul P. • Maths tutor

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Derive the quadratic formula. From it, write down the determinant and explain, how is it related to the roots of a quadratic equation.

The general quadratic equation is ax^2+bx+c=0, now we need to Complete The Square, which allows us to have only one "x" term. First, divide the equation by "a", leaving us with x^2... ...

Answered by Martin K. • Maths tutor

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How do I sketch a polynomial function?

Before you start it is best to gather as much information as you can about the function. The most important things to find are any roots - as these will tell where the graph should cross the axis - and th...

Answered by Julu L. • Maths tutor

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Solve the equation |3x + 4| = |3x - 11|

Here we have an equation involving absolute values. As a general rule |a| = +a and |a| = -a. We can apply that to our RHS. In the first case we get that 3x + 4 = 3x - 11, however after we subtract 3x from...

Answered by Viktoria B. • Maths tutor

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