︠464e5843-417f-407d-8e86-55c5533e20e9io︠ %md ## 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":"
$\\displaystyle t$
"}︡{"file":{"filename":"/home/user/.sage/temp/project-4aacee0b-64bd-4d37-99a1-d87b7a2c4cd6/218/tmp_Ikq9yS.svg","show":true,"text":null,"uuid":"e166f707-f112-4639-bdef-c8585f55956b"},"once":false}︡{"done":true}︡ ︠534d6342-cf63-4c2a-82fe-7c021e2ae3c3i︠ %md ## 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}︡ ︠fda5a2f9-77ea-4ed1-b01e-5caaf5f7f898︠