︠464e5843-417f-407d-8e86-55c5533e20e9io︠
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## Exercice n.2 (section 6.5, n. 21)
On trace le graphique de $$p(t) = p_0 e^{kr(\sin \phi + \sin(*t - \phi))}$$
︡210cf3cf-ddc5-439d-be87-c88af0d45b10︡{"done":true,"md":"## Exercice n.2 (section 6.5, n. 21)\nOn trace le graphique de $$p(t) = p_0 e^{kr(\\sin \\phi + \\sin(*t - \\phi))}$$"}
︠3d247fea-3046-4a96-8bb2-07b741656767s︠
var('t')
p0=1
phi = pi/6
r= 5
p(t) = p0*exp(sin(phi) + sin(r*t-phi))
C = plot(p, (t,0,6*pi), color = "blue")
show(C)
︡7e9ec35f-94cb-4654-9ae4-918b92a204ae︡{"html":"
$\\displaystyle t$
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︠534d6342-cf63-4c2a-82fe-7c021e2ae3c3i︠
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## Exercice n. 9, p 285 (le graphique)
︡4af4efe0-79b8-4228-a0e3-724786a08619︡{"done":true,"md":"## Exercice n. 9, p 285 (le graphique)"}
︠e7b76d53-9ab7-4bdf-9c49-1dc9eea63e2as︠
var('L,R')
f(L,R) = L^(0.02)*R^(0.08)/(exp(0.00002*L + 0.001*R))
f(1000, 400).n()
︡bffdfc65-3997-4c36-9299-8256ac99766f︡{"html":"($\\displaystyle L$, $\\displaystyle R$)
"}︡{"html":"$\\displaystyle 1.21831927971357$
"}︡{"done":true}︡
︠77f613cd-4b8c-4a52-af1f-e1b1dda6f76ds︠
Courbe = implicit_plot(f(L,R) == f(1000, 40), (R,0,160),(L,0,4000), color="blue")
show(Courbe, aspect_ratio=1/50)
︡62f61fd4-578b-465c-9658-6b578734e1f5︡{"file":{"filename":"/home/user/.sage/temp/project-4aacee0b-64bd-4d37-99a1-d87b7a2c4cd6/218/tmp_H_Yvhe.svg","show":true,"text":null,"uuid":"323907b1-ca9a-4442-a209-1f2c19ce1799"},"once":false}︡{"done":true}︡
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