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Suppose that you go to a party where everyone knows at least one other person, you get a bit bored and wonder whether there are at least two people which know the same number of people there.

To get our head around a problem like this is always very useful to think of a few examples. First supposed that this party is a bit borining and there are only 2 people, then by assumption they know each ot...
AS
Answered by Andrea S. • Maths tutor
4209 Views

How do you solve trigonometric equations?

To help explain we will use the following example: Show that cos(2x) = 2cos 2 x - 1. Hence solve the equation cos(2x) + cosx = 0 for 0 o < x < 360 o . Answer: We know from our sum-difference formulas t...
JY
Answered by Jessica Y. • Maths tutor
5715 Views

A particle of weight 15N is resting on a plane inclined at an angle of 30°. Find : a) the normal force exerted on the particle, b) the coefficient of friction between the particle and the plane, providing it is in limiting equilibrium

The normal force can be calculated using cos(30)x weight = 12.99N From the equation F=μN, μ can be calculated as F/N and as it is at rest F is equal to component of weight parallel to the plane Therefore, F=...
TH
Answered by Tamara H. • Maths tutor
3773 Views

d/dx ( sin x) ^3

3(sin x) ^2 cos x
OG
Answered by Oscar G. • Maths tutor
3646 Views

differentiate y = 4x^3(12e^-4x) with respect to x

y = 4x 3 e -4x u = 4x 3 v = e -4x du/dx = 12x 2 dv/dx = -4e -4x using the product rule; vdu +udv vdu + udv = 12x 2 e -4x - 16x 3 e -4x
LM
Answered by Lewis M. • Maths tutor
4041 Views