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What is First Past the Post and how does it impact electoral outcomes?

The majoritarian British electoral system of First Past the Post (FPTP) is a Single-Member Plurality voting method used to elect members of parliament to the House of Commons during five year fixed term g...

AM
Answered by Amy M. Politics tutor
3913 Views

Should the House of Lords be elected?

The undemocratic institution of the House of Lords has been significantly strengthened since 1999 after the reform under the Labour government removed 92 hereditary peers and appointed new Lords rather th...

AM
Answered by Amy M. Politics tutor
3781 Views

A mass of 3kg rests on a rough plane inclined at 60 degrees to the horizontal. The coefficient of friction is 1/5. Find the force P acting parallel to the plane applied to the mass, in order to just prevent motion down the plane.

Firstly draw a diagram of the problem.Then resolve the forces into their components parallel and perpendicular to the plane.Resolving parallel: P + Fmax = 3gsin(60) equation 1.Resolving perpendicular: R =...

JM
Answered by Jonathan M. Maths tutor
4463 Views

Consider the infinite geometric sequence 25 , 5 , 1 , 0.2 , ... (a) Find the common ratio. (b) Find (i) the 10th term; (ii) an expression for the nth term. (c) Find the sum of the infinite sequence.

QUESTION (a) R = U(n+1)/U(n ) = 5/25= 0.2(b) (i) U(10) = 25 x (1/5)^9 = 0.0000128 (ii) U(n) = 25 x (1/5)^(n-1)(c) S = U(1)/(1-r) = 25/(1-(1/5))=25/(4/5))=125/4=31.25

CR
Answered by Carlota R. Maths tutor
6212 Views

Differentiate x^3⋅cos(5⋅x) with respect to x.

In order to solve this problem we will have to use the product rule as follows: d/dx[x^3⋅cos(5⋅x)]=[d/dx(x^3)]⋅cos(5x)+(x^3)⋅[d/dx[cos(5x)]]=(3⋅x^2)⋅cos(5⋅x)+(x^3)⋅−5⋅sin(5⋅x)=3⋅x^2⋅cos(5⋅x)−5⋅x...

TL
Answered by Tianyu L. Maths tutor
5984 Views

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