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Solve: x^2 + y^2 = 25 y - 3x = 13

Equation 1) x 2 + y 2 = 25 Equation 2) y - 3x = 13 First you need to substitute a variable so there is only one unknown in the equation: 2) y = 13 + 3x Substituting this into equation 1) gives: x 2 + (13 + 3...
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Answered by Lucy W. • Maths tutor
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integrate cos^2(2x)sin^3(2x) dx

To integrate this we need to use the chain rule, substituting cos2x = u Integral becomes: u 2 sin 3 2x dxChain rule: dy/dx = du/dx dy/du du/dx = -2sin2x --> dx = -1/2sin2x du Substituting into the equatio...
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Answered by Lucy W. • Maths tutor
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Expand and simplify: (5w-6)(2w+7)

So first you need to multiply out the brackets so you can simplify the equation. Remember the acronym FOIL: First, Outer, Inner, Last.10w^2 + 35w - 12w - 42 And then you need to simplify 10w^2 + 23w - 42
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Answered by Emma C. • Maths tutor
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Why is DNA replication semi-conservative?

DNA is in a double helix structure, meaning there are two strands. When we need DNA to replicate, for example when a cell divides during growth, the strands undergo unwinding. This process is done by an enzy...
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Answered by Emma C. • Biology tutor
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What is Diminished Responsibility and Loss of Control?

Diminished Responsibility and Loss of Control are both partial defences to murder (sometimes referred to as voluntary manslaughter). Diminished Responsibility is codified under S.52 of the Coroners and Justi...
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Answered by Amber S. • Law tutor
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