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Patent - Gives exclusive right to make, use or sell a new invention for a set period of 20 years. It allows the designer to take legal action, but it must be shared in detail in the public domain. It must...

Find an expression for y
y = 3 - x
sub this into the second equation
x^2 + (3 - x)^2 = 5
then expand the brackets
x^2 + x^2 - 6x + 9 = 5
simplify
2(x^2 - 3x + 2) = 0<...

First differentiate the function to obtain
dy/dx = 6x^2 + 30x + 24
Then set this equal to 0 and solve to find the x values of the stationary points
6x^2 + 30x + 24 = 0
6(x^2 + 5x + 4) ...

Be assured that this question makes all French learners stop and think sometimes! So I will do my best to explain it in a way that helps me remember when to use which tense. Both of these tenses are used ...

To successfully answer this question the student needs to describe and evaluate both periods in depth and compare their successes - defined here as the extent to which the period contributed to the advanc...