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Differentiate, from first principles, y=x^2

According to first principles, the differential is found as the limit as h->0 of:[f(x+h)-f(x)] / hif we set our f to x^2, then we find that this expression becomes (x^2+2hx+h^2 - x^2)/hWhich simplifies...

ME
Answered by Milo E. Maths tutor
2029 Views

A ball mass 2kg rests on a slope of angle 60 degrees. If it is stationary, calculate the coefficient of static friction

Because the ball is stationary, the sum of the forces acting on it must be equal to 0. We can split the ball's weight into two components: perpendicular and parallel to the slope.W(para)=2gsin60W(perp)=2g...

ME
Answered by Milo E. Physics tutor
1492 Views

Given that w=x * e^-w use implicit differentiation to show that dw/dx=1/(e^w + x)

Given that w=xe-w use implicit differentiation to show that dw/dx = 1/(ew+x)Answer:Use product rule to simplify:dw/dx = x(de-w/dx) + e-w(dx/dx)Use ...

PG
Answered by Panagiota G. Maths tutor
1503 Views

Analyse and discuss the themes of Catullus' Carmen 51.

Written in Sapphic metre, Poem 51 by Catullus is a close, but not slavish translation of Sappho 31. Through a close analysis of the poem, the ways in which Catullus liberates himself from the confining ch...

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Answered by Shannon H. Latin tutor
4864 Views

Le dénouement d’une pièce de théâtre est-il toujours lié logiquement au dénouement des rapports de force ou peut-il représenter une surprise ?

DansDon Juande Molière, etPhèdrede Racine, les dénouements sont liés logiquement aux rapports de force ou viennent surprendre le public. L’œuvre de Racine est écrite en accord avec les r...

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Answered by Sophie P. French tutor
2761 Views

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