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MINICURSO DE HP PRIME MINICURSO DE HP PRIME ─ https://petequfpr.wixsite.com/peteq https://petequfpr.wixsite.com/peteq https://epequfpr.wixsite.com/epeq • o • • • • • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq • • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq • • • • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq • • • • • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq • • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq 𝑦 − 𝑦0 𝑥 − 𝑥0 = 𝑦1 − 𝑦0 𝑥1 − 𝑥0 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq ⁰ 𝑌−88 32−20 100−88 40−20 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq → → file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq • • • • • • • • • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq → → file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq https://www.hpcalc.org/details/7747 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq Σ Σ ẋ σ file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq Σ Σ ẋ Σ Σ σ ẏ Σ Σ σ file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq • • • • • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq • • • • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq • • • • • • • • • • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq • • • • • file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeqfile:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq ξ ξ ξ ξ ξ ξ ξ file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq ⇌ ⇌ file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq 𝑥 + 2 = 0 𝑥2 + 𝑥 − 2 = 0 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq 𝑥2 + 𝑥 − 2 = 𝑥 + 3 𝑥 + 4 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq 𝑥2 + 𝑥 − 2 = 0 𝑥2 + 𝑥 − 2 = 𝑥 + 3 𝑥 + 4 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq 𝑥2 + 𝑥 − 2 = 𝑥 + 3 𝑥 + 4 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq 𝑥 + 2 = 0 𝑦 = 2 ∗ 𝑥 + 𝑤 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq 𝑃 = 𝑅𝑇 𝑉−𝑏 − 𝑎 𝑉2 𝑎 = 27(𝑅. 𝑇𝐶) 2 64𝑃𝐶 𝑏 = 𝑅. 𝑇𝐶 8𝑃𝐶 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq ε ρ 1 √𝑓 = −2,0 log ( 𝜀 𝐷⁄ 3,7 + 2,51 𝑅𝑒√𝑓 ) 𝑣 = 𝑄 𝐴 = 4. 𝑄 𝜋𝐷2 = 4.0,0111 𝜋. 0,10162 = 1,37 𝑚/𝑠 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq 𝑅𝑒 = ρ. v. D µ = 998,204.1,37.0,1016 1,0016.10−3 = 138720,059 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq { 2𝑥 + 𝑦 − 2𝑧 = 10 3𝑥 + 2𝑦 + 2𝑧 = 1 5𝑥 + 4𝑦 + 3𝑧 = 4 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq { 𝑥 + 𝑦 + 𝑧 = 4 2𝑥 + 5𝑦 − 2𝑧 = 3 𝑥 + 7𝑦 − 7𝑧 = 5 { 𝑥 + 𝑦 + 𝑧 = 6 𝑥 − 𝑦 + 𝑧 = 4 𝑥 + 𝑧 = 5 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq { 2𝑥 + 𝑦 − 2𝑧 = 10 3𝑥 + 2𝑦 + 2𝑧 = 1 5𝑥 + 4𝑦 + 3𝑧 = 4 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq { 𝑥 + 𝑦 + 𝑧 + 𝑡 = 0 𝑥 + 𝑦 + 𝑧 − 𝑡 = 4 𝑥 + 𝑦 − 𝑧 + 𝑡 = −4 𝑥 − 𝑦 + 𝑧 + 𝑡 = 2 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq { 𝑥2 − 𝑦2 = 2 𝑥2 − 𝑦2 9 = 1 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq { 𝑥2 + 𝑦2 = 4 𝑦 = 𝑥 + 1 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq { 𝑦 = cos 𝑥 + 2 𝑦 = 1,5. ln (𝑥) file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq 𝑦𝑖𝑃 = 𝑥𝑖𝑃𝑖 𝑠𝑎𝑡𝛾𝑖 γ 𝛾1 = 𝑦1𝑃 𝑥1𝑃1 𝑠𝑎𝑡 𝛾1 = 𝑃 𝑃1 𝑠𝑎𝑡 = 319 306 = 1,04248 𝛾2 = 𝑃 𝑃2 𝑠𝑎𝑡 = 1,13929 ln 𝛾1 = 𝐴′ (1 + 𝐴′𝑥1 𝐵′𝑥2 ) 2 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq ln 𝛾2 = 𝐵′ (1 + 𝐵′𝑥2 𝐴′𝑥1 ) 2 ln 1,04248 = 𝐴′ (1 + 𝐴′0,65 𝐵′0,35 ) 2 ln 1,13929 = 𝐵 (1 + 𝐵′0,35 𝐴′0,65 ) 2 file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq ▶ file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteqfile:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq lim 𝑥→0 ( 2𝑥 − 1 𝑥 ) lim 𝑥→0 (cos 1 𝑥 ) file:///C:/Users/lucas/Downloads/petequfpr.wixsite.com/peteq file:///C:/Users/lucas/Downloads/epequfpr.wixsite.com/epeq ─ https://petequfpr.wixsite.com/peteq https://petequfpr.wixsite.com/peteq https://epequfpr.wixsite.com/epeq
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