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Find dy/dx in terms of t for the curve defined by the parametric equations: x = (t-1)^3, y = 3t - 8/t^2, where t≠0

The first step is to recognise that, by the chain rule, dy/dx = dy/dt * dt/dx. dy/dt and dt/dx can both be found by differentiating the functions given in the question, to give dy/dt and dx/dt. dt/dx is the ...
AC
Answered by Alex C. • Maths tutor
21898 Views

How do I solve a simultaneous equation?

Simultaneous equations are a set of equations that have multiple common unknown variables such as two equations which both contain the unknowns x and y. To solve a simultaneous equation the trick is to chang...
LK
Answered by Lewis K. • Maths tutor
3834 Views

integrate the following: 2x^4 - 4/sqrt(x) +3 with respect to x

The 3 terms of this equation can be integrated separately. The general integration of x n is (x n+1 )/n+1 where n is a real number not equal to -1. This can be applied to the terms 2x 4 , -4/sqrt(x) and 3 se...
AF
Answered by Adrien F. • Maths tutor
4030 Views

¿Qué te gustaría hacer en tu tiempo libre el fin de semana que viene?

Los fines de semana, suelo ir al cine con unos amigos. La semana pasada vimos 'Los Increíbles 2', que me encantó, y este fin de semana vamos a ver la segunda 'Mamma Mia'. El domingo es el cumpleaños de mi pa...
VB
Answered by Vanessa B. • Spanish tutor
3831 Views

Quels sont les avantages et les inconvénients d'internet?

Pour la plupart, l’internet a amélioré nos vies. Tandis que l’introduction d’internet a apporté beaucoup d’avantages, malheureusement, cela a produit quelques problèmes assez graves. Qui plus est, ces inconv...
VB
Answered by Vanessa B. • French tutor
6589 Views