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What is [(x+1)/(3x^(2)-3)] - [1/(3x+1)] in its simplest form?

First simplify the expression; 3x^(2)-3 to get;

[(x+1)/3(x^(2)-1)] - [1/(3x+1)] 

Using the fact that x^(2)-1 is the difference of two squares, we can simplify it to;

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FO
9538 Views

x = 2t + 5, y = 3 + 4/t. a) Find dy/dx at (9.5) and b) find y in terms of x.

This is a standard parametric equations question, it is important that the methodology behind answering this question is understood.

For part a) we simply use the chain rule (dy/dx = dy/d...

JT
Answered by Jonathan T. Maths tutor
9947 Views

A student is measuring the acceleration due to gravity, g. They drop a piece of card from rest, from a vertical height of 0.75m above a light gate. The light gate measures the card's speed as it passes to be 3.84 m/s. Calculate an estimate for g.

This question is simply a matter of finding and applying the correct equation of motion.

First, draw a diagram - even if the situation in the questions seems really simple, it's always us...

PM
Answered by Philippa M. Physics tutor
7455 Views

What is the self fulfilling prophecy?

Labelling and the self-fulfilling prophecy explains criminal and anti-social behaviour in terms of societal factors, specifically the way others behave towards you.The self-fulfilling prophecy shows how a...

NS
Answered by Nish S. Psychology tutor
18546 Views

A votre avis, quels sont les avantages de faire du sport et pourquoi est-ce que tant de jeunes n’en font pas assez ? Qu’est-ce qu’on peut faire pour encourager les jeunes à faire plus de sport ?

Faire du sport est quelque chose d'essentieul. Malheureusement, beaucoup de jeunes aujourd'hui n'ont simplement pas le temps d'en pratiquer. A cause de la pression scolaire, ils sont obligés de se conc...

LS
Answered by Lois S. French tutor
3169 Views

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