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g(x) = e^(x-1) + x - 6 Show that the equation g(x) = 0 can be written as x = ln(6 - x) + 1, where x<6

0 = e x-1 + x - 6 e x-1 = 6-x x-1 = ln (6-x) -&gt; here we have taken the natural log of both sides, but it only shows on one side as the natural log of e is 1.x = ln (6-x) + 1Question taken from Edexcel 201...
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Answered by Sumrah N. • Maths tutor
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Describe one chemical test and one physical test for pure water.

A physical test for pure water is testing the boiling or freezing point. Pure water will boil at 100 degrees Celsius and freeze at 0 degrees Celsius. One chemical test is to use cobalt chloride paper - the p...
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Answered by Sumrah N. • Chemistry tutor
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Describe the sequence of events that occur during DNA replication.

DNA replication begins with the unzipping of the double stranded DNA by the enzyme DNA helicase, which breaks hydrogen bonds as it separates the strands. Another enzyme known as topoisomerase holds the two D...
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Answered by Sumrah N. • Biology tutor
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Find the coefficient of x^4 in the expansion of: x(2x^2 - 3x + 1)(3x^2 + x - 4)

Only the terms which will form the x 4 term need to be considered:x * 2x 2 * x + x * -3x * 3x 2 = -7x 4 Therefore the answer is -7.
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Answered by Finn H. • Maths tutor
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An object of mass 3kg is held at rest on a rough plane. The plane is inclined at 30º to the horizontal and has a coefficient of friction of 0.2. The object is released, what acceleration does the object move with?

We need to use Newtons law F=ma going down the slope. We can see that the only forces acting in this direction are the component of the weight and friction, so we have that: F = Wsin30 - μR = 3a We have that...
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Answered by Asha D. • Maths tutor
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