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First Principles.. (1 Viewer)

Enigma17

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umm, i dont think its examinable in 2u mathematics, but i think its examinable in 3U, or extension 1, whatever...

its really easy though... just start from basics... like this a triangle...
 

lazychic

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it is examable!

cos our teacher tells us that we'd get Q's on first principles in da HSC so we gotta know it..
 

Minai

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I vaguely remember it
the f(x+h), limits crap
 

Lazarus

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Yes, both differentiation and integration from first principles are examinable.

Differentiation (example):
..lim.......f(x+h) - f(x)
h -> 0............h

Integration (example):
Integral[sqrt(r^2 - x^2)] between -r and r
Use A = (Pi*r^2)/2.
 

Lazarus

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Remind me as to what that chapter encompassed?
 

Lazarus

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You definitely need to know how to do that, although you wouldn't get more than two or three marks devoted to such questions in the actual exam.
 

blake

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When I did 3u maths in year 11, my teacher said that it wasnt examiable for the HSC but he was going to exam it
 

Morgues

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all you do is substitute, expand, cancel out and then get rid of the hs because their all approaching 0
 

blake

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from the phoenix book there isnt a single question on first principles..
 

Lazarus

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It is examinable for the HSC and it's in a few of the past HSC papers (98, I think? can't remember).

Integration from first principles is not often taught, and it's only been asked twice - once in an HSC paper and once in a Catholic trial paper. Both questions involved the integral in the example I posted above, where you were given the equation of a semicircle. You can't integrate it normally, because the function under the square root sign is not linear, but you can use the formula for the area of a circle to calculate an equivalent answer.
 

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