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Mathematics, 28.11.2021 18:40 4804102262

AIDEZ MOI SVPPP Urgent !! L'objectif de cet exercice est de déterminer:
s'il existe une position de M pour laquelle l'aire de la
surface colorée est égale à 800 m?.
s'il existe une position de M pour laquelle l'aire colo-
rée est égale à celle du triangle PBN.
On note x la longueur AM et A la fonction, qui à r associe
l'aire du rectangle AMNP.
QUESTIONS :
1. A quel intervalle la variable “X” appartient-elle ? On
note “I” cet intervalle dans la suite.
2. a. On admet que le triangle NP est rectangle isocèle
en P. Exprimer la lonqueur AP en fonction de x.
b. En déduire que l'aire du rectangle APNM est égale
à A(x) = 60x - x2 (forme 1).
c. Justifier que, pour tout réel r E I, on a :
A(x) = 900 - (x-30)2 (forme 2)
3. Résoudre les dux problèmes posés en introduction
en précisant, dans chaque cas, les positions du point M
correspondantes.
4. Justifier que, pour tout rEl, on a A (1) < 900
Préciser la valeur de x pour laquelle A (r) = 900.


AIDEZ MOI SVPPP Urgent !!

L'objectif de cet exercice est de déterminer:
s'il existe une position

ansver
Answers: 2

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AIDEZ MOI SVPPP Urgent !! L'objectif de cet exercice est de déterminer:
s'il existe une posi...
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