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evaluate the integral 2x/((9+x^2)^1/2) between -2 and 0

One approach would be to use integration by parts, as we have two functions of x within the integral. This approach would get you to the answer but would be more difficult and convoluted than necessary. O...

AF
Answered by Aiden F. Maths tutor
3934 Views

Express (X²-16)/(X-1)(X+3) in partial fractions

(X2-16)/(X-1)(X+3) can be expressed as partial fractions as it is equivalent to A + B/(X-1) + C/(X+3) giving us : (X2-16)/(X-1)(X+3)≡ A + B/(X-1) +C/X+3). By multiplying both sides o...

SP
2672 Views

‘Richard Nixon proved himself to be a master of statesmanship in foreign affairs’ Assess the validity of this view.

As Vice President (1953-1961) and subsequently as President (1969-1974), Richard Nixon consistently attempted to portray himself as a highly capable statesman and master of foreign affairs. This effort ha...

JR
Answered by James R. History tutor
5486 Views

The height x metres, of a column of water in a fountain display satisfies the differential equation dx/dt = 8sin(2t)/(3sqrt(x)), where t is the time in seconds after the display begins. (a) Solve the differential equation, given that x(0)=0

Our DE (Differential Equation) dx/dt = 8sin(2t)/(3sqrt(x)) is separable because dx/dt can be expressed as a product of two functions of the form dx/dt = f(t)g(x) = (8sin(2t)) * (1/(3sqrt(x))).To solve the...

JM
Answered by James M. Maths tutor
6618 Views

Pourquoi est-ce que la musique est si populaire ? A votre avis, l’influence de la musique, est-elle positive ou négative ?

La musique a de tous temps fait partie intégrante des cultures, ralliant les sociétés par-delà les castes, les clivages politiques ou les conflits religieux. Je défendrai l'influence bénéfique de la musiq...

GP
Answered by Gaspard P. French tutor
2810 Views

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