The New Leaving Cert Quiz

Soby

3 assumptions of a monopolist market?

Timans

1. There is only one seller, therefore that seller is the market.
2. There are barriers to entry.
3. The firm can control what price to sell output at, or the amount of output sold but not both simultaneously.

Not definite about the last one.

Maths
What is the Binomial General Term of (ax + 1/bx)^8?

Cokehead Mother

Timans wrote: »

Maths
What is the Binomial General Term of (ax + 1/bx)^8?

T_{r+1} = 8CR.[(ax)^8]/[(ab)^r.x^(2r)]

Applied Maths: Show that the kinetic energy of a lamina rotating about an axis is 0.5Iw^2 where I = the moment of inertia of the lamina about the axis and w = its angular velocity.

alan4cult

Kinetic Energy = 1/2mv^2
But v=rw
Kinetic Energy = 1/2m(r^2)(w^2)

Consider small mass a distance r from a fixed axis
Its KE = 1/2m(r^2)(w^2)

Add up all the kinetic energies of all the small masses

Total Kinetic Energy (of Lamina) = SUM 1/2m(r^2)(w^2)
But 1/2 and w^2 are constants so they can come outside the summation

KE = 1/2w^2 SUM m(r^2)

Now Sum m(r^2) = I

Therefore:
KE of Lamina = 1/2Iw^2 QED

What year did Othello last come up in Leaving Cert English HL?

Peleus

explain the long run equilibirum position of a firm in an oligoplistic market and explain the term price rigidity.