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A curve has equation y = 6ln(x) + x^2 -8x + 3. Find the exact values of the stationary points.

When thinking about stationary points, it is important to remember that these points happen when the gradient of the curve is 0 (-> dy/dx = 0), or if you prefer, when the rate of change of a graph is 0. S...
CP
Answered by Christopher P. • Maths tutor
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How can I make my writing more sophisticated?

Remember, the mark scheme is looking for ‘sophisticated expression’, but what does that actually mean? Put simply, ‘sophisticated expression’ is actually just when a student has enough confidence in their wr...
ED
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Factorise z^3+1 into a linear and quadratic factor. Let y=(1+i√3)/2. Show that y is a cube root of -1. Show that y^2=y-1. Find the value of (1-y)^6.

To factorise z 3 +1 into a linear and quadratic factor, it is best to try the factor theorem first. We set the equation to zero: z 3 +1=0.We need to find a value of z such that the above is true. By inspecti...
HL
Answered by Henry L. • Maths tutor
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Explain how nerve impulses are transmitted along and between neurones

Transmitting Along Neurones When a nerve cell is not stimulated, it is in a resting state. During this state, the inside of the axon is relatively more negative than outside of the axon, this is called the r...
AH
Answered by Alisa H. • Biology tutor
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Make y the subject of (y/x)+(2y/(x+4))=3

We want to make y the subject of the equation and so we need to write it in the form y=f(x) where f(x) is a function in terms of x.When rearranging equations with fractions for a certain subject, factorising...
HL
Answered by Henry L. • Maths tutor
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