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A curve is defined by the parametric equations; x=(t-1)^3, y=3t-8/(t^2), t~=0. Find dy/dx in terms of t.

dy/dx=(dy/dt)*(dt/dx); dy/dt=3+16t -3 ; dx/dt=3(t-1) 2 ; dt/dx=1/3(t-1) 2 ; dy/dx=(3+16t -3 )/3(t-1) 2
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Answered by Nadia C. Maths tutor
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Solve the following equation: x^(3) - 6x^(2) + 11x - 6 = 0

x 3 - 6x 2 + 11x - 6 = 0 Let (x-a)(x-b)(x-c) = x 3 - 6x 2 + 11x - 6=> abc = -6 and a + b + c = -6 From abc=-6, find the possibilities of their values: (1,2,-3), (1,-2,3), (-1,2,3), (-1,-2,-3), (1,1,-6), (...
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Answered by Ellie-May H. Maths tutor
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How do I balance an equation for a reaction, such as complete combustion of ethene?

Balancing equations is a simple conservation of the elements in a reaction: what you start with is what you finish with. With that in mind, let's take a look at the equation:C 2 H 4 + O 2 -> CO 2 + H 2 OT...
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Answered by Kieran M. Science tutor
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What is EMF? How do we test for it?

Electromotive Force (EMF) is the measure of how much energy a source like a battery gives to the charges in a circuit. As with most things, this energy source is not 100% efficient, and has an associated int...
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Answered by Kieran M. Physics tutor
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What is a dative covalent bond?

A dative covalent bond, or coordinate bond, is a bond where there is 1 pair of shared electrons between two atoms. The difference relative to a covalent bond is that in a dative covalent bond these electrons...
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Answered by Angela N. Chemistry tutor
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