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Here is an example to use the CAS for the BAC 2013 (french exam)
http://www.lexpress.fr/education/bac-2013-le-sujet-de-maths-et-son-corrige_1259225.html
EXERCICE 2
Keystroke :
(a+b*LN(x))/x STO> f(x)
f'
Simplif
solve([f(1)=2;f'(1)=0],[a,b])
2 STO> a
2 STO> b
f(x)
simplif
lim x->0 f(x)
lim x->+oo f(x)
Screen display :
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For our US friends
BAC is the exam we need to go to French university.
If a USian want to go to French university, French education ask for 2 years of US university.
Edited: 23 July 2013, 7:41 p.m.
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My grandfather Antoine received his french BAC degree in Istanbul in the early 20th century. I have the certificate with me at home!
My brother, father, and uncles all passed their French BAC exams in Lebanon, while studying under the French Jesuits there.
Namir
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Quote:
Vérifier que pour tout réel strictement positif x, f'(x) =(b -a)-b ln x / x2 .
Parenthesis are missing. That's not the correct solution.
Cheers
Thomas
PS: I find it somehow ironic that a CAS is used to solve a system of equations when in fact the exercise is chosen in a manner that this is not needed. Just insert (1, 2) into the definition of f(x) to get a = 2 instantly.
Edited: 24 July 2013, 1:38 a.m.
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Quote:
My grandfather Antoine received his french BAC degree in Istanbul in the early 20th century. I have the certificate with me at home!
My son called Antoine like your grandfather :D
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Antoine is a good name!!!! I also have a nephew by that name.
Posts: 468
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Quote:
Parenthesis are missing. That's not the correct solution.
It's a typo error in the web site
Quote:
PS: I find it somehow ironic that a CAS is used to solve a system of equations when in fact the exercise is chosen in a manner that this is not needed. Just insert (1, 2) into the definition of f(x) to get a = 2 instantly.
In fact, I wonder if this exercice has been defined in a manner that a student without a brain can still resolve it ;)
Edited: 24 July 2013, 10:45 a.m.
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Do you mean they are easier than the Jewish Problems?
Cheers
Thomas
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Thanks for the link ! Interesting !
I tried to solve the first ones with the prime and get the instantaneous answers :
Problems 4, 5 and 1 :
Note that 'solve' also works with inequalities
Some interesting problems to try the Geometry Apps but no time for few days ...
Edited: 24 July 2013, 7:05 p.m.