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What is the chain rule?

The chain rule is a technique used when differentiating. It is needed when differentiating composite functions, i.e. when y = f(g(x)).For example, y = sin(x^3) is a composite function, where (referring to th...
Answered by Maths tutor
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Find the general solution to the differential equation dy/dx = y/(x+1)(x+2)

1)Separating variables. Firstly, we need to get the y terms all on the dy/dx side and the x terms on the other side. In this case, we divide both sides by y which gives (1/y)dy/dx = 1/(x+1)(x+2). 2) To make ...
SC
Answered by Samuel C. Maths tutor
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Solve the following simultaneous equations: (1) 2y + x = 8, (2) 1 + y = 2x

The first aim is to obtain an expression for one of the unknowns in terms of the other. To achieve this, addition and subtraction methods are used. For example, using equation 1, subtracting 2y from both sid...
BJ
Answered by Benjamin J. Maths tutor
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4(3x-7) = 8

First multiply out the bracketsMultiply each component within the bracket by 4 (4 x 3x) + (4 x -7) = 812x - 28 = 8 Now you want to ensure you have the x's on their ownYou can eliminate the -28 by adding 28 t...
JH
Answered by Jack H. Maths tutor
3073 Views

Solve by completing the square: x^2 + 12x + 4 = 0

(x+6) ^2 -36+4=0(x+6) ^2 -32=0(x+6) ^2 =32(x+6)=±√32x=-6±√32
EK
Answered by Elisha K. Maths tutor
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