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courses:computational_mathematics:task1:task1_vars
Варианты к практической работе №1
| № варианта | Нелинейное уравнение | Система нелинейных уравнений |
|---|---|---|
| 1 | $7.6\sin(2.1x+4)=6.5x^2-0.5x-14.6$ | $\begin{cases} 4x+8e^{0.4y}=3y+5e^{-0.3x}+3 \\ 5x^6+3y^6=555-502x-764y \end{cases}$ |
| 2 | ${7.4\sin(4x+1.1)=5.6x^2-12x-8.2}$ | $\begin{cases} 8x+9e^{-0.7y}=7e^{-0.3x}-4y+2 \\ 6x^6+4y^4=788+639x+251y \end{cases}$ |
| 3 | ${5.6x^2-5x-8.1=6.1\sin(3.1x+2.1)}$ | $\begin{cases} 4x^6+2y^4=916+647x+299y \\ 4e^{0.6y}-3x=8y+5e^{0.8x}-1 \end{cases}$ |
| 4 | ${8.6\cos(1.4x+0.5)=3.3x^2-10.3x-2.3}$ | $\begin{cases} 8e^{-0.8y}-7x=2y+6e^{-0.2x}+2 \\ 5x^4+4y^4=956-296x+337y \end{cases}$ |
| 5 | ${7.7x^2-2.5x-15.1=9.2\sin(2.7x+3.8)}$ | $\begin{cases} 9e^{-0.2y}-4x=2e^{-0.7x}-6y+7 \\ 3x^6+4y^6=685-426x+704y \end{cases}$ |
| 6 | ${2.4\cos(5.8x+2)=5.7x^2-3.7x-3}$ | $\begin{cases} 4x^6+3y^6=958+795x+407y \\ 5x-2e^{-0.7y}=7e^{-0.9x}-4y-9 \end{cases}$ |
| 7 | ${3.1\sin(6.3x+2.1)=8.6x^2-9.1x-3.3}$ | $\begin{cases} 2x^6+5y^4=915-519x+312y \\ 4x+2e^{0.4y}=8y-7e^{0.8x}+9 \end{cases}$ |
| 8 | ${5x^2-11.4x+0.3=5.4\sin(2.9x-4.5)}$ | $\begin{cases} 3x+5e^{0.9y}=6e^{0.7x}-8y-1 \\ 6x^4+3y^4=739+342x+240y \end{cases}$ |
| 9 | ${3.3x^2-3.1x-12.5=9.1\cos(2.3x+6.6)}$ | $\begin{cases} 4x-3e^{0.8y}=5y-8e^{-0.5x}+5 \\ 5x^4+7y^4=972-397x-302y \end{cases}$ |
| 10 | ${5.8x^2-8.7x+0.3=2.2\sin(3.4x+1.8)}$ | $\begin{cases} 5x^4+2y^4=802+228x-378y \\ 2e^{0.7y}-9x=3e^{-0.9x}-6y-1 \end{cases}$ |
| 11 | ${2.7x^2-5.5x-4.8=4.7\sin(3.4x+2.4)}$ | $\begin{cases} 2x+8e^{0.2y}=4y+7e^{0.9x}+1 \\ 3x^4+6y^4=729-252x-392y \end{cases}$ |
| 12 | ${5.6\cos(4.8x-3.4)=8.5x^2-7.4x-7.4}$ | $\begin{cases} 8x+7e^{-0.9y}=3y-6e^{0.3x}+13 \\ 3x^6+4y^6=856-794x+543y \end{cases}$ |
| 13 | ${4.9x^2-5.6x-11=6.3\cos(2.4x-6)}$ | $\begin{cases} 7x-3e^{-0.8y}=6y+8e^{-0.9x}-11 \\ 3x^6+4y^4=647-448x-279y \end{cases}$ |
| 14 | ${1.8x^2-10.6x-0.6=9\cos(1.2x+6.7)}$ | $\begin{cases} 4x^4+6y^4=754+282x+359y \\ 3e^{0.7y}-6x=5y+7e^{0.5x}-4 \end{cases}$ |
| 15 | ${7.4\sin(2.7x-0.9)=7.4x^2-4.8x-11.4}$ | $\begin{cases} 8x+5e^{-0.2y}=3y+6e^{0.8x}-1 \\ 7x^6+6y^4=647-540x+345y \end{cases}$ |
| 16 | ${-5.6x^2-1.1x+14=7.6\sin(3.3x+6.7)}$ | $\begin{cases} 7x^4+6y^6=559+398x+671y \\ 5x-7e^{0.8y}=6e^{-0.9x}-4y-13 \end{cases}$ |
| 17 | ${6.9x^2-6.4x-11.7=8.5\cos(3.3x+0.6)}$ | $\begin{cases} 9x-6e^{-0.9y}=7y-5e^{0.6x}-1 \\ 2x^4+3y^6=985+212x-444y \end{cases}$ |
| 18 | ${7.8\sin(2.4x+4.3)=6.9x^2-3.7x-14.2}$ | $\begin{cases} 5x^6+6y^4=907+711x-259y \\ 5x+6e^{-0.6y}=8y-7e^{-0.8x}+13 \end{cases}$ |
| 19 | ${8.2x^2-8.3x-9.6=8.5\cos(3.8x+0.5)}$ | $\begin{cases} 3x^4+6y^6=589+241x+521y \\ 6x+4e^{-0.9y}=7e^{-0.4x}-9y-3 \end{cases}$ |
| 20 | ${0.8\sin(7x+3.5)=5.8x^2-3x-0.7}$ | $\begin{cases} 8x+6e^{0.6y}=4y+5e^{0.4x}+1 \\ 2x^6+4y^4=773+510x-365y \end{cases}$ |
| 21 | ${2.4x^2-0.2x-5.9=3.5\cos(3.3x+1.7)}$ | $\begin{cases} 7x+8e^{0.6y}=4y+6e^{-0.8x}+2 \\ 3x^6+4y^6=884+615x-787y \end{cases}$ |
| 22 | ${2.9\sin(4.3x-5.4)=4x^2-4.6x-4}$ | $\begin{cases} 2x^6+3y^4=985+424x-223y \\ 8x+9e^{0.7y}=3y+2e^{-0.6x}+7 \end{cases}$ |
| 23 | ${8.4x^2-2.8x-8=4.2\sin(3.8x-2.9)}$ | $\begin{cases} 8x+3e^{0.6y}=7y+6e^{-0.4x}-3 \\ 5x^6+4y^6=837+785x+760y \end{cases}$ |
| 24 | ${4.8\sin(6.4x+3.5)=8.1x^2-3.1x-8.9}$ | $\begin{cases} 7x^4+6y^6=572+305x-596y \\ 7x-3e^{-0.7y}=5e^{0.6x}-6y-8 \end{cases}$ |
| 25 | ${4x^2-10.6x+0.9=5.2\sin(2.4x-4.6)}$ | $\begin{cases} 5x^4+4y^6=729+368x+621y \\ 7x+5e^{-0.3y}=2y+8e^{0.4x}-3 \end{cases}$ |
| 26 | ${4.2\cos(4.2x-5.1)=8.1x^2-3.3x-5.2}$ | $\begin{cases} 7x-3e^{0.3y}=8y-4e^{-0.8x}+1 \\ 4x^4+6y^6=756+366x-429y \end{cases}$ |
| 27 | ${7.1x^2-13.5x-5.2=8.3\cos(2x-4.8)}$ | $\begin{cases} 2x^6+3y^6=985+424x-444y \\ 7x+2e^{0.4y}=8e^{0.5x}-4y-6 \end{cases}$ |
| 28 | ${8.8\cos(2.6x-0.9)=2.9x^2-11.3x-5.1}$ | $\begin{cases} 7x^6+4y^6=873-485x-507y \\ 9e^{0.6y}-2x=4y-6e^{-0.4x}+15 \end{cases}$ |
| 29 | ${8.3x^2-4.5x-5.3=3.1\cos(6.4x+0.6)}$ | $\begin{cases} 5x^4+4y^6=907+334x+667y \\ 7x-5e^{0.5y}=2y-6e^{-0.7x}+1 \end{cases}$ |
| 30 | ${8.3\sin(2.1x-4)=5.1x^2-9.9x-9.6}$ | $\begin{cases} 5x^4+7y^6=972-397x-602y \\ 8x-9e^{0.4y}=7y+5e^{0.8x}-14 \end{cases}$ |
| 31 | ${5.1\cos(3.9x+0.6)=2.9x^2-4.3x-7.3}$ | $\begin{cases} 5x^6+6y^6=894-706x+564y \\ 4x-5e^{0.3y}=6e^{0.7x}-8y-11 \end{cases}$ |
| 32 | ${7.3\cos(1.7x-6.3)=2.2x^2-8.8x-4.7}$ | $\begin{cases} 3x^4+6y^6=868-251x-453y \\ 4x-6e^{-0.9y}=8y+2e^{-0.4x}-8 \end{cases}$ |
| 33 | ${4.3\cos(3.8x+1.1)=6.4x^2-7x-3.9}$ | $\begin{cases} 6x^4+4y^4=559-362x+299y \\ 3x+7e^{-0.3y}=9e^{0.9x}-6y-2 \end{cases}$ |
| 34 | ${8.6\sin(2.5x+3.1)=7.6x^2-5.9x-10.9}$ | $\begin{cases} 5x^6+7y^6=972-793x-602y \\ 3x-2e^{-0.4y}=4y+7e^{0.9x}-9 \end{cases}$ |
| 35 | ${5.6\cos(1.9x-6.1)=4.2x^2-13.5x+0.4}$ | $\begin{cases} 3x^6+6y^4=643-666x-279y \\ 7e^{0.5y}-5x=3y+8e^{-0.3x}-1 \end{cases}$ |
| 36 | ${5.7x^2-2.5x-3.4=2.5\sin(7.2x+3.2)}$ | $\begin{cases} 5x^4+4y^4=961-224x-327y \\ 5e^{0.8y}-9x=3y+4e^{-0.3x}+1 \end{cases}$ |
| 37 | ${9\sin(1.2x+6.7)=1.8x^2-10.6x-0.6}$ | $\begin{cases} 3x^4+5y^4=855-249x-281y \\ 7e^{0.4y}-3x=2y+4e^{0.5x}+3 \end{cases}$ |
| 38 | ${8.3x^2-11x-4.8=4.5\sin(5.7x-4.6)}$ | $\begin{cases} 6x^6+3y^6=739+683x+479y \\ 2x+7e^{0.2y}=3y-4e^{-0.4x}+11 \end{cases}$ |
| 39 | ${2.4x^2-5.7x-6.6=6.1\sin(2.6x+6.4)}$ | $\begin{cases} 3x+2e^{-0.3y}=4y-9e^{0.7x}+11 \\ 3x^4+5y^4=783-343x-355y \end{cases}$ |
| 40 | ${2.1x^2-4.2x-0.5=2\sin(3.4x-5.5)}$ | $\begin{cases} 5x^4+3y^6=907-302x-658y \\ 7x-2e^{-0.7y}=4y-9e^{0.3x}+7 \end{cases}$ |
| 41 | ${-4.6x^2+4.6x+1.8=2.3\cos(3.7x-2.4)}$ | $\begin{cases} 3x+7e^{-0.4y}=6y-9e^{0.5x}+16 \\ 5x^6+7y^4=972-793x-302y \end{cases}$ |
| 42 | ${5.7\sin(4.8x-3.7)=8.1x^2-x-8.2}$ | $\begin{cases} 3x^6+4y^4=722+604x-302y \\ 2x+4e^{-0.4y}=8y+3e^{0.8x}+1 \end{cases}$ |
| 43 | ${3.1x^2-6.5x-1.6=3.1\sin(2.9x-5.8)}$ | $\begin{cases} 8x-4e^{0.3y}=7y-3e^{-0.6x}-1 \\ 3x^6+5y^4=948-511x-212y \end{cases}$ |
| 44 | ${3.8x^2-5.6x-3.8=4.7\cos(2.2x-5.2)}$ | $\begin{cases} 9e^{-0.7y}-5x=8e^{0.4x}-7y+1 \\ 2x^6+5y^6=981+444x-736y \end{cases}$ |
| 45 | ${4.3x^2-8.7x-4.4=4.9\sin(2.3x+3.1)}$ | $\begin{cases} 3x-4e^{0.3y}=8y-9e^{-0.4x}+5 \\ 5x^4+4y^4=856+274x+372y \end{cases}$ |
| 46 | ${5.7x^2-2.3x-5.2=4.3\cos(4.8x+0.9)}$ | $\begin{cases} 5x^6+3y^6=944-670x-684y \\ 8x-7e^{-0.5y}=6y-3e^{-0.2x}-4 \end{cases}$ |
| 47 | ${6.1\cos(2.6x+6.4)=2.4x^2-5.7x-6.6}$ | $\begin{cases} 5e^{0.8y}-6x=4y+3e^{0.4x}+2 \\ 2x^4+7y^4=775-360x-302y \end{cases}$ |
| 48 | ${6.8\sin(2x-3.8)=2.9x^2-6.5x-4}$ | $\begin{cases} 6x+7e^{0.4y}=8y+2e^{-0.3x}+5 \\ 4x^4+5y^6=983+336x+570y \end{cases}$ |
| 49 | ${2x^2-5.5x-7.7=6.9\sin(2.5x+6.6)}$ | $\begin{cases} 6e^{-0.8y}-5x=7e^{0.6x}-3y-1 \\ 5x^4+6y^6=894-354x+564y \end{cases}$ |
| 50 | ${6.4x^2-3.3x-9=5.2\cos(2.9x+1.9)}$ | $\begin{cases} 6x+9e^{-0.5y}=4e^{0.2x}-3y+5 \\ 5x^4+6y^6=905-273x+721y \end{cases}$ |
| 51 | ${6.5\cos(4.8x+6.6)=6.9x^2-8.3x-5.2}$ | $\begin{cases} 6x^6+5y^6=694+628x+776y \\ 4x-7e^{-0.8y}=8y-6e^{0.7x}-1 \end{cases}$ |
| 52 | ${5.3x^2-12.2x-7.2=8.2\cos(2.5x+0.9)}$ | $\begin{cases} 5x^6+4y^4=874+771x+327y \\ 4x-3e^{-0.5y}=5y+2e^{0.2x}-5 \end{cases}$ |
| 53 | ${1\cos(3.6x+1.7)=2.6x^2-1.7x-1}$ | $\begin{cases} 6x+5e^{0.7y}=3y+2e^{-0.2x}+3 \\ 5x^4+4y^4=729+368x+311y \end{cases}$ |
| 54 | ${8.9x^2-3.9x-13.4=7.3\cos(3.8x-5.3)}$ | $\begin{cases} 3x^6+5y^6=603-693x-495y \\ 4x+9e^{-0.3y}=8y+3e^{0.8x}+6 \end{cases}$ |
| 55 | ${1.6x^2-5.9x-6.5=7.2\cos(1.2x+1)}$ | $\begin{cases} 5x^4+4y^6=856+274x+741y \\ 3x+9e^{0.2y}=4y+2e^{0.5x}+7 \end{cases}$ |
| 56 | ${6.3\cos(3.6x+6.3)=8.2x^2-6.7x-9.1}$ | $\begin{cases} 4e^{-0.8y}-6x=3y-8e^{-0.5x}+12 \\ 7x^4+2y^4=721+223x-256y \end{cases}$ |
| 57 | ${7.4x^2-8.4x-2.5=3\sin(6.1x+1.8)}$ | $\begin{cases} 7e^{-0.9y}-2x=5e^{0.4x}-8y+2 \\ 2x^4+5y^4=981+223x-369y \end{cases}$ |
| 58 | ${2.3\cos(7.8x+2)=6.5x^2-2.3x-3.2}$ | $\begin{cases} 6x^6+4y^6=788+639x+501y \\ 6e^{0.5y}-3x=5y+9e^{0.6x}-3 \end{cases}$ |
| 59 | ${6.9\cos(4.1x+1)=6.6x^2-2x-13.6}$ | $\begin{cases} 2x^6+7y^4=775-719x-302y \\ 5x+6e^{-0.5y}=8e^{-0.8x}-7y-2 \end{cases}$ |
| 60 | ${4x^2-6.2x-4.8=5.2\cos(4x-5.8)}$ | $\begin{cases} 7x+2e^{-0.7y}=3y+6e^{0.6x}-4 \\ 7x^6+6y^6=572+608x-596y \end{cases}$ |
courses/computational_mathematics/task1/task1_vars.txt · Last modified: 2022/12/10 09:08 (external edit)
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