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Show that the function f(x) = x^2 + 2x + 2 is always positive for real values of x

By completing the square we find that f(x) = x2 + 2x + 2 = (x+1)2 + 1Since (x+1)2 is a number that has been squared, it must be greater than or equal to zero. Therefore, f...

BC
Answered by Bradley C. • Maths tutor
7661 Views

How are fish are well adapted for gas exchange?

Gas exchange is important for fish as they need oxygen for respiration. Considering Fick’s law, in order to maximise the rate of gas exchange, fish have many gill filaments covered in lamellae, maximising...

TD
13362 Views

When to use the imparfait and the passé composé?

Both the imparfait and the passé composé are tenses that describe a past action. The passé composé is used to refer to completed events in the past e.g. j'ai mangé (I ate - indicating that you we...

MH
Answered by May H. • French tutor
2142 Views

Why is the tertiary structure of maltase essential to its function?

A good starting point in this question is identifying what is meant by the ‘tertiary structure’ of a protein, which is the folding of the protein into its 3D structure/shape

LD
8238 Views

State Newton's 3 Laws in words and/or mathematically

1st Law - An object will remain at rest or continue at constant velocity unless acted on by an unbalanced force
2nd Law - F=ma (for a constant mass body) /the net force acting on a body is directly p...

MF
Answered by Martha F. • Physics tutor
2323 Views

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