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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/d...

Answered by Alex C. • Maths tutor

20768 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 ch...

Answered by Lewis K. • Maths tutor

3326 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 xⁿ is (xⁿ⁺¹)/n+1 where n is a real number not equal to -1. This can be applied to the terms 2x

Answered by Adrien F. • Maths tutor

3552 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...

Answered by Vanessa B. • Spanish tutor

3304 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 inc...

Answered by Vanessa B. • French tutor

5379 Views