Bac 2013 and Prime



#10

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 :



#11

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.


#12

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


#13

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


#14

Antoine is a good name!!!! I also have a nephew by that name.

#15

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.


#16

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.


#17

Do you mean they are easier than the Jewish Problems?

Cheers

Thomas


#18

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.


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