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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
22017 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
4133 Views

Después de haber estudiado la obra 'La Casa de Bernarda Alba', ¿sientes alegría y optimismo o tienes otros sentimientos?

EXAMPLE ANSWER: ‘La Casa de Bernarda Alba’ trata de una época muy estricta y religiosa en España (1936), justo antes del inicio de la Guerra Civil. Presenta un gran número de temas e ideas, y después de todo...
VB
Answered by Vanessa B. • Spanish tutor
5760 Views

The pH of pure water can vary depending on the temperature it is held at. Does that mean pure water can be acidic or alkaline?

Interestingly, pure water will always be neutral, regardless of pH. To understand why, we have to properly look at what pH means. pH is a measure of the number of free H+ ions in a solution or liquid. The am...
SN
16652 Views

What is Phagocytosis

its a process that a phagocyte completes in order to remove any unwanted pathogens and organism. I will show pictures and diagrams explaining the process to the student. once the phagocyte has ingested the u...
MA
Answered by Musa A. • Biology tutor
3308 Views