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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; [(x+1)/3(x+1)(x-1)] - [1/(3x+1)] which sim...
FO
11018 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/dt X dt/dx) and the r...
JT
Answered by Jonathan T. • Maths tutor
10728 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 useful to draw a diagr...
PM
Answered by Philippa M. • Physics tutor
8358 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 be...
NS
Answered by Nish S. • Psychology tutor
23168 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 concentrer...
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Answered by Lois S. • French tutor
3851 Views