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A particle of mass m moves from rest a time t=0, under the action of a variable force f(t) = A*t*exp(-B*t), where A,B are positive constants. Find the speed of the particle for large t, expressing the answer in terms of m, A, and B.

First, we need to find a formula for the speed of the particle, v, at a given time, t. Relate the speed, v, to the force f, using Newton's 2nd Law: f(t) = mdv/dt (remembering that acceleration is t...

Answered by Maths tutor
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Find the general solution of the differential equation d^2y/dx^2 - 2(dy/dx) = 26sin(3x)

2 Parts to this question - requires a complimentary function (treating equation as if right-hand side (RHS) = 0) and a particular integral (the general solution for where the RHS = 26sin(3x) )
1) The...

MP
5290 Views

Décrivez votre vie d'adolescent(e)

En tant qu'adolescente, j'ai l'habitude de faire des activités avec mes ami(e)s. Le samedi, nous allons souvent jouer dans un parc près de chez nous. Le soir, nous aimons aller au cinéma de notre village...

Answered by French tutor
2550 Views

How can you factorise expressions with power 3 or higher?

The key to factoring big and complicated expressions into simpler forms is to remember the factor theorem. The factor theorem says that if we plug a number k into our expression ...

CD
Answered by Christopher D. Maths tutor
3888 Views

Why is the long-run Phillips Curve vertical?

The Phillips Curve depicts the relationship between unemployment and inflation. Suppose the government pursues an expansionary policy (e.g. lower interest rates). Using the classical model of aggregate de...

FC
Answered by Fin C. Economics tutor
25210 Views

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