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Prove that, if 1 + 3x^2 + x^3 < (1+x)^3, then x>0

(1+x)^3 = x^3 + 3x^2 + 3x + 1 (Can be calculated straight away by binomial method or by multiplying brackets individually)
if (1+x)^3 > 1 + 3x^2 + x^3then: x^3 + 3x^2 + 3x + 1 > 1 + 3x^2 +...

Answered by Vigneswaran T. • Maths tutor

15956 Views

Differentiate y = xe^(2x).

We want to find dy/dx. We find this using the product rule by setting the functions f(x) = x and g(x) = e^2x. With these functions, we can write the equation as y = f(x)g(x), so by applying the ...

Answered by Matthew L. • Maths tutor

31405 Views

what is the integral of ln(x)

answer may not be obvious at first, but by using intergration by parts, treating part 1 as lnx and part 2 as 1, you will get xlnx-1

Answered by Anthony F. • Maths tutor

3304 Views

Messenger RNA (mRNA) is used during translation to form polypeptides. Describe how mRNA is produced in the nucleus of a cell.

mRNA is messenger RNA which carries information from the genome to be translated into proteins. The DNA is transcribed into mRNA in the nucleus. DNA helicase breaks the hydrogen bonds of DNA into sense an...

Answered by Ryley C. • Biology tutor

2996 Views

Is GDP a good measure of growth in living standards

Is GDP a good measure of growth in living standards?There is no definite right or wrong answer to this question. Cons· GDP alone does not account for the distribution o...

Answered by Johann P. • Economics tutor

2144 Views