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The curve C has equation 4x^2 – y^3 – 4xy + 2^y = 0 The point P with coordinates (–2, 4) lies on C . Find the exact value of dy/dx at the point P .

Since we need to find dy/dx, we must first differentiate the equation implicitly which gives us: 8x - 3y 2 dy/dx - 4y - 4xdy/dx + 2 y ln(2)dy/dx = 0. Because we are given a point, we can substitute in the x ...
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Answered by Samuel N. • Maths tutor
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At what point(s) do lines y = x^2 - 5x - 14 and y = 3x + 2 intersect? Write your answer in surd form

To find the point(s) where these two lines intersect we will first find the x coordinate of the point(s) where they intersect snd use this to find the corresponding y coordinate by substituting the x value i...
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Answered by Kieran J. • Maths tutor
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Outline photoactivation of photosystem II in the light-dependent reaction of photosynthesis.

light absorbed by pigment molecules (chlorophyll)causes electron to be raised to higher energy level; electron is passed along chain of carrier molecules in photosystem II
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Answered by Urte P. • Biology tutor
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How are epigenetics involved in regulating gene expression?

Epigenetic control of gene expression involves mechanisms that do not alter the sequence of DNA itself. External factors acting upon cells translate their signals via cascades to the nucleus, where they act ...
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Answered by Harry H. • Biology tutor
3232 Views

How can I use the normal distribution table to find probabilities other than P(z<Z)?

The normal distribution tables show, for a given Z value, the probability that the random variable z takes a value less than Z or P(z&lt;Z). This is also the area under the normal distribution curve up to Z....
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Answered by Holi A. • Maths tutor
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