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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 than ...
AM
Answered by Amy M. • Politics tutor
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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 = 3g...
JM
Answered by Jonathan M. • Maths tutor
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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
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Answered by Carlota R. • Maths tutor
6605 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(5 x)+(x^3)⋅[d/dx[cos(5 x)]]=(3⋅x^2)⋅cos(5⋅x)+(x^3)⋅−5⋅sin(5⋅x )=3⋅x^2⋅cos(5⋅x)−5⋅x^3⋅sin(5⋅x)
TL
Answered by Tianyu L. • Maths tutor
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how do i make the past tense?

To form the past tense we need to know 3 things: whether we need to use avoir or etre, how to conjugate avoir or etre and the past participle of the verb that we want to be in the past tense.So the first ste...
EK
Answered by Ellie K. • French tutor
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