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ET 12.48 1.44 Td [(\r)-3.51656]TJ 172.2 0 Td 3195.77 2432.96 l q 64 0 0 -4 1996.9 2805.9 cm 3303.56 2420.16 l q 92 0 0 -4 1870.9 3901.9 cm -226.32 -20.16 Td /H 1 15.96 6.84 Td /R19 9.96264 Tf q 4 0 0 -108 730.9 4666.9 cm /Subtype/Link>>endobj 10.08 0 Td )0.671944]TJ [(\r)-0.935134]TJ [(v)21.7588(o)-6.01515(l)0.671944(u)1.3483(m)2.02465(i)0.671944(q)-2.33195(u)1.3483(e)-1.3336]TJ 2869.91 2519.79 l /BPC 1 263.52 0 Td 1 0 0 1 98.4 135 Tm 1 0 0 1 230.16 674.04 Tm /BPC 1 /H 1 [(0)1.16367]TJ 2922.52 2496.23 l 7.8 -1.44 Td q /R48 9.96264 Tf 2678.55 3004.07 l -90.36 -23.16 Td ID /R48 9.96264 Tf 281.88 0 Td 8.33333 0 0 8.33333 0 0 cm BT /R21 9.96264 Tf 2689.81 2959.77 l )0.673414]TJ /R19 9.96264 Tf 8.33333 0 0 8.33333 0 0 cm BT 15 -14.88 Td [(0)1.16367]TJ /R21 9.96264 Tf 3064.09 2455.5 l -290.76 -11.88 Td 2787.42 2732.71 l EI Q q 4 0 0 -108 636.9 1200.9 cm /W 1 q S BI ET 2872.22 2637.89 l /R14 7.97011 Tf EI Q -2.64 -0.24 Td EI Q 266.64 0 Td 7.08 -5.16 Td )0.264661]TJ 8.16 0 Td 8.64 0 Td /R19 9.96264 Tf 10.56 0 Td q 102 0 0 -4 1944.9 3538.9 cm 71 0 obj q 4 0 0 -241 1643.9 1284.9 cm -263.52 -15.36 Td 2786.75 2606.01 m /H 1 13.68 0 Td 2694.61 2942.66 l ET ID 1888.31 4725.89 l Q /BPC 1 8.33333 0 0 8.33333 0 0 cm BT 2670.35 3035.2 l 1 0 0 1 328.2 18.48 Tm [(p)-2.89068]TJ [(L)-1.49607(e)-386.773(j)4.35514(u)1.3483(r)-5.91443(y)-387.771(f)4.35514(a)-6.01515(i)0.671944(t)-382.087(�)-1.33286(g)-6.01515(a)-6.01515(l)0.671944(e)-1.3336(m)2.02465(e)-1.3336(n)25.4383(t)-357.998(r)-5.91517(e)-1.3336(m)2.02465(a)-6.01515(r)-5.91517(q)-2.33195(u)1.3483(e)-1.3336(r)-367.265(d)1.3483(a)-6.01515(n)1.3483(s)-376.533(s)-3.1377(o)-6.01368(n)-372.048(r)-5.91369(a)-6.01368(p)1.34683(p)-22.7432(o)-6.01368(r)-5.91369(t)-370.043(q)-2.33195(u)1.34683(e)-386.772()-275.688(l)0.673414(e)-1.33213(s)-388.578(r)-5.91369(�)]TJ /R27 9.96264 Tf 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0 obj S /R27 9.96264 Tf Q /W 1 3285.76 2422.02 l 268.2 0 Td 1371.49 5130.34 m 2970.35 2479.6 l /R19 9.96264 Tf 2915.4 2499.05 l Q -9.84 -43.2 Td /R21 9.96264 Tf /R50 6.97385 Tf 3343.02 2467.28 l 12.24 3.96 Td 3541.83 1582.17 l 2725.77 2850.95 l 8.33333 0 0 8.33333 0 0 cm BT EI Q EI Q 1 0 0 1 408.24 674.04 Tm [(=)-5.89017]TJ ID -276.96 -12 Td q 139 0 0 -4 1647.9 1047.9 cm Q 26.88 0 Td /H 1 1 0 0 1 218.4 321.12 Tm [(1)1.16367(2)1.16367]TJ ID /R21 9.96264 Tf 8.33333 0 0 8.33333 0 0 cm BT 8.33333 0 0 8.33333 0 0 cm BT [(v)2.19962]TJ 3486.83 1582.17 m q 3221.39 2434.7 l [(\()3.3531(E)5.86664(n)1.3483(s)-3.1377(e)-1.33286(i)0.671944(g)-6.01515(n)1.3483(a)-6.01515(n)25.4383(t)3.3531(-)-4.01034(c)22.7564(h)1.3483(e)-1.3336(r)-5.91517(c)22.7564(h)1.3483(e)-1.3336(u)1.3483(r)-210.68(�)-234.87(l)0.671944(')0.671944(u)1.3483(n)1.3483(i)0.671944(v)21.758(e)-1.3336(r)-5.91517(s)-3.1377(i)0.671944(t)3.35237(�)-1.3336(\))-165.278(;)-228.183(i)0.671944(l)-228.183(a)-234.87(�)-1.33213(t)3.35237(�)-230.187(r)-5.91369(e)-1.33213(l)0.673414(u)-227.508(p)1.34683(a)-6.01368(r)-222.724(�)5.86664(l)]TJ 12.96 0 Td /H 1 ET Q [(0)1.16367]TJ [(\))2.56133]TJ 2809.9 2702.16 l 8.33333 0 0 8.33333 0 0 cm BT 3121.95 2444.38 l EI Q ET 2918.34 2583.89 l [(�)3.27722(d)-4.63565(i)4.3718(t)-1.9098(i)4.3718(o)5.19519(n)-4.63565(s)-344.166(H)-5.74493]TJ /R21 9.96264 Tf 3192.72 2441.54 l 14.64 0 Td 11.88 TL )-324.543(N)3.02595(�)-1.3336(g)-6.01515(l)0.671944(i)0.671944(g)-6.01515(e)-1.3336(o)-6.01515(n)1.3483(s)-316.308(l)0.671944(e)-1.3336(s)-328.353(t)3.35237(e)-1.3336(r)-5.91517(m)2.02465(e)-1.3336(s)-328.353(d)1.3483(')0.671944(o)-6.01515(r)-5.91517(d)1.3483(r)-5.91517(e)-1.3336]TJ Q 2810.46 2570.68 l /R21 9.96264 Tf /R19 9.96264 Tf q 139 0 0 -4 1647.9 1285.9 cm 3196.61 2494.86 l 7.2 -1.44 Td E3A Physique PSI 2011 — Corrigé Ce corrigé est proposé par Michel Fruchart (ENS Lyon); il a été relu par Tom Morel (ENS Cachan) et Emmanuel Bourgeois (Professeur en CPGE). [(x)4.88446]TJ 24.8034 -50.1408 Td 2699.8 2925.16 l [(s)-3.1377]TJ [(T)6.05452(�)1.64678(l)4.40938(�)1.64678(c)1.64188(h)-4.59889(a)25.2865(r)3.0338(g)5.19519(�)-359.703(g)5.19519(r)3.0338(a)-1.48014(t)-3.68238(u)-4.59889(i)4.40938(t)-3.68238(e)1.64678(m)-0.227085(e)1.64678(n)-4.59889(t)-338.266(s)5.76535(u)-4.59889(r)3.03216]TJ 1 0 0 1 98.4 146.88 Tm [(x)4.88446(;)-168.63(t)-0.34994]TJ [(V)3.20975]TJ /H 1 -255.6 -32.28 Td Q 5.52 8.16 Td 1796.69 5130.34 m 82 0 obj (;)Tj 7.8 0 Td /W 1 1 0 0 1 54.96 674.28 Tm [(e)-1.33213(s)-3.1377(t)-454.358(b)1.34683(i)0.673414(e)-1.33213(n)-456.363(l)0.673414(')0.673414(o)-6.01368(p)1.34683(p)-22.7432(o)-6.01368(s)-3.1377(�)-446.997(d)1.34683(e)-1.33213]TJ