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If y = 1/(x^2) + 4x, find dy/dx

First, notice that 1/(x^2) = x^(-2)dy/dx = d/dx (x^(-2) + 4x)The derivative of the sum is the sum of the derivatives= d/dx (x^(-2)) + d/dx (4x)The derivative of x^n is nx^(n-1), for every real number n, and ...
BM
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Given that (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2) = 7, show that tan(x)^2 = 3/2

First, we use 1 - sin(x)^2 = cos(x)^2 and get:(LHS) (cos(x)^2 + 4 sin(x)^2)/(1-sin(x)^2)= (cos(x)^2 + 4 sin(x)^2)/cos(x)^2= 1 + 4 (sin(x)/cos(x))^2= 1 + 4 tan(x)^2Now we know that the left hand side is equal...
BM
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The surface run-off of nitrate from agricultural fertiliser into freshwater ponds and lakes can cause the death of the fish. Explain how this happens.

This question crops up a lot and may be up to a five mark question, if you learn the key points and terms you can be confident of getting all the marks you can here! First of all, an algal bloom occurs which...
SM
Answered by Sarah M. • Biology tutor
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What is translation?

Translation is the process of production of protein from a mRNA template, with the help of the rRNA and tRNA.
JP
Answered by Jane P. • Chemistry tutor
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Which is the essential enzyme in the Calvin Cycle?

The answer is RuBisCo (or simply Rubisco). This enzyme helps in the formation of two 3-carbon molecules = glyceraldehyde-3-phosphate (G3P) from a pentose. The process involves the fixation of CO2 in the pent...
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Answered by Jane P. • Chemistry tutor
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