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Solve the equation: x^2 +8x + 12 = 0

This is a classic GCSE-style equation :) 1) Always write out the original equation for clarity (and so that you don't have to look back at the question constantly) :)x^2 + 8x + 12 = 02) Notice that this is q...
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Answered by Obaid U. • Maths tutor
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Find the derivative of y = 3x^4 - 10x^2+7x

The method used to find the derivative (dy/dx) of the equation is to: "Multiply the coefficient of x by the power then deduct the power x is raised to by 1" Step 1: 3x^4 Carry the power of 4 down a...
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Answered by Hameedat O. • Maths tutor
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Solve the simultaneous equations E.g. 2x + y = 18 and x − y = 6.

Simultaneous equations can be solved in many ways. The two main ways are "solving for x and y" and the other is "substituting for x and y". Because in this example we are given "line...
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Answered by Adil F. • Maths tutor
5520 Views

How do i use chain rule to calculate the derivative dy/dx of a curve given by 2 "parametric equations": x=(t-1)^3, y=3t-8/t^2

(Explain why it is called "parametric"). The definition of chain rule says that we can re-write the derivative dy/dx in terms of the "parameter t" by dy/dx = (dy/dt) X (dt/dx). (Explain w...
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Answered by Adil F. • Maths tutor
4841 Views

Why is a nucleophilic substitution reaction between ammonia and benzene unlikely?

A nucleophilic substitution reaction is when a nucleophile (an electron pair donor) replaces an atom or part of a molecule. In this scenario ammonia (NH 3 ) is the nucleophile as it contains a lone pair of e...
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Answered by Archit S. • Chemistry tutor
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