Top answers

Differentiation from first principles

Differentiaiton from principles requires the use of the following formula which is provided in the formula booklet: f'(x) = lim h->0 ((f(x+h) - f(x))/(h)) Consider a function: f(x) = 6x 2 Clearly we know ...
HS
4940 Views

Name an experiment proving that light is wave and one that is proving that light consists of particles.

wave: interference experiments e.g. double slit experiment particles: photo-electric effect
EG
Answered by Evita G. • Physics tutor
6564 Views

A ball is kicked from a tower (50m) at a speed of 20m/s. How far away does the ball hit the ground?

time is equal to time in free fall i.e. 50m=0.5 g t^2 -> t=root(50m*2/g)=1.019s horizontal distance is then t v= 1.019s 20m/s=20.38m
EG
Answered by Evita G. • Physics tutor
4209 Views

Simplify (5-root3)/(5+root3)

multiply with conjugate 5-root3 such that the denominator gets rational (5-root3)^2/((5+root3)(5-root3)) = (25-10root3+3)/(25-3)=(28-10root3)/22 = 14/11 - 5root3/11
EG
Answered by Evita G. • Maths tutor
15065 Views

Factorise x^3-6x^2+9x.

x^3-6x^2+9x=x(x^2-6x+9) observe binomial formula (x-3)^2=(x^2-6x+9) Thus x(x-3)^2 and the function has two points meeting the x-axis.
EG
Answered by Evita G. • Maths tutor
15910 Views