Найти [tex]\frac{d^2y}{dx^2}[/tex] функции [tex]\left \{ {{x=3(t-sint)} \atop {y=4(1-cost})} \right.[/tex]. Created by Nik133. algebra-ru

tex]...

Nik133 @Nik133

August 2022 1 47 Report

Найти [tex]\frac{d^2y}{dx^2}[/tex] функции

[tex]\left \{ {{x=3(t-sint)} \atop {y=4(1-cost})} \right.[/tex]

Answers & Comments

dtnth

Verified answer

$x=\phi (t);\\ y=\psi (t);\\ y'_x=\frac{\psi'(t)}{\phi'(t)};\\ y''_{x^2}=\frac{\psi''(t)\phi '(t)-\psi'(t)\phi''(t)}{(\phi'(t))^3}$

$x'_t=3-3cost;\\ x''_{t^2}=3sint;\\ y'_t=4sint;\\ y''_{t^2}=4cost;$

$y''_{x^2}=\frac{4cost(3-3cost)-4sint *3sint}{(3-3cost)^3}=\\ \frac{12cost-12(cos^2 t+sin^2 t)}{27(1-cost)^3}=\\ \frac{12cost-12*1}{27(1-cost)^3}=\\ \frac{-12(1-cost)}{27(1-cost)^3}=\\ \frac{-4}{9(1-cost)^2}$

1 votes Thanks 1

reshit zadachu na ekstremum chislo a rozlozhit na dva mnozhitelya tak chtoby ih sum

Answer

Nik133 August 2022 | 0 Ответы

tex i obyasnite pozhalujsta kak reshat podobnogo roda zadaniya

Answer

Nik133 August 2022 | 0 Ответы

v yashike est detali sdelannye na tryoh stankah veroyatnost togo chto detal sde

Answer

Nik133 August 2022 | 0 Ответы

m na prodolzhenii osi sterzhnya na rasstoyanii 20 sm ot blizhnego konca sterzhnya razm

Answer

Nik133 August 2022 | 0 Ответы

rabotayut 4 traktora veroyatnost togo chto vo vremya roboty remonta trebuet pervy

Answer

Nik133 July 2022 | 0 Ответы

otdel tehnicheskogo kontrolya proveryaet partiyu detalej veroyatnost togo chto deta

Answer

Answers & Comments

Verified answer

reshit zadachu na ekstremum chislo a rozlozhit na dva mnozhitelya tak chtoby ih sum

tex i obyasnite pozhalujsta kak reshat podobnogo roda zadaniya

v yashike est detali sdelannye na tryoh stankah veroyatnost togo chto detal sde

m na prodolzhenii osi sterzhnya na rasstoyanii 20 sm ot blizhnego konca sterzhnya razm

tex]...

opytnye dannye svedeny v tablicu znachenij peremennyh xi i yi postroit tochki

tex]...

tex tolko pozhalujsta ochen podrobno

rabotayut 4 traktora veroyatnost togo chto vo vremya roboty remonta trebuet pervy

otdel tehnicheskogo kontrolya proveryaet partiyu detalej veroyatnost togo chto deta

рекомендуемые вопросы

Helpful Links

Helpful Social