From 770d0c91fbebc2f67a705d606f1ef8dbfb79bb5e Mon Sep 17 00:00:00 2001 From: VectorKappa Date: Mon, 6 Mar 2023 11:56:25 +0100 Subject: [PATCH] vault backup: 2023-03-06 11:56:25 --- ...0303101829 2023-03-03 10.18.36.excalidraw.md | 1324 +++++ ...0303101829 2023-03-03 10.22.33.excalidraw.md | 1608 ++++++ ...0303101829 2023-03-03 10.28.21.excalidraw.md | 756 +++ ...0303101829 2023-03-03 10.30.28.excalidraw.md | 1324 +++++ ...0303101829 2023-03-03 10.33.57.excalidraw.md | 1548 ++++++ ...0303101829 2023-03-03 10.37.30.excalidraw.md | 3670 +++++++++++++ ...0303101829 2023-03-03 10.48.45.excalidraw.md | 1008 ++++ ...0303101829 2023-03-03 10.50.14.excalidraw.md | 1666 ++++++ ...0303101829 2023-03-03 10.52.58.excalidraw.md | 2148 ++++++++ ...0303101829 2023-03-03 10.57.24.excalidraw.md | 4830 +++++++++++++++++ ...0303101829 2023-03-03 11.22.36.excalidraw.md | 4146 ++++++++++++++ .obsidian/graph.json | 2 +- .../obsidian-completr/scanned_words.txt | 13 + .obsidian/workspace.json | 73 +- AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md | 22 +- Elektrotechnika/Ćwiczenia/20230303101829.md | 36 + 16 files changed, 24126 insertions(+), 48 deletions(-) create mode 100644 !Załączniki/20230303101829 2023-03-03 10.18.36.excalidraw.md create mode 100644 !Załączniki/20230303101829 2023-03-03 10.22.33.excalidraw.md create mode 100644 !Załączniki/20230303101829 2023-03-03 10.28.21.excalidraw.md create mode 100644 !Załączniki/20230303101829 2023-03-03 10.30.28.excalidraw.md create mode 100644 !Załączniki/20230303101829 2023-03-03 10.33.57.excalidraw.md create mode 100644 !Załączniki/20230303101829 2023-03-03 10.37.30.excalidraw.md create mode 100644 !Załączniki/20230303101829 2023-03-03 10.48.45.excalidraw.md create mode 100644 !Załączniki/20230303101829 2023-03-03 10.50.14.excalidraw.md create mode 100644 !Załączniki/20230303101829 2023-03-03 10.52.58.excalidraw.md create mode 100644 !Załączniki/20230303101829 2023-03-03 10.57.24.excalidraw.md create mode 100644 !Załączniki/20230303101829 2023-03-03 11.22.36.excalidraw.md create mode 100644 Elektrotechnika/Ćwiczenia/20230303101829.md diff --git a/!Załączniki/20230303101829 2023-03-03 10.18.36.excalidraw.md b/!Załączniki/20230303101829 2023-03-03 10.18.36.excalidraw.md new file mode 100644 index 0000000..c99acd0 --- /dev/null +++ b/!Załączniki/20230303101829 2023-03-03 10.18.36.excalidraw.md @@ -0,0 +1,1324 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm1YgHYaOiCEfQQOKGZuAG1wMFAw + +MogSbggALQBFAFEAYWcAZmZ8XGxnAFZmACsAa00ASSNuvoAWdLLIWEQqgDNAhE8q + +fnLMbmcJngA2dcgYLdjdgAZtboBOFpTug4gKEnVuFrviyEkEQmVpbgmJ+7WZTBbi + 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index 0000000..85254dd --- /dev/null +++ b/!Załączniki/20230303101829 2023-03-03 10.28.21.excalidraw.md @@ -0,0 +1,756 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm1YgHYaOiCEfQQOKGZuAG1wMFAw + +MogSbgh9ADkagGkAVQBFABVnIUkAMwBmAA1mDkaAK2YAa2GAIXSyyFhEKq7AhE8q + +fnLMbmcAFm2U9cgYblienu1tgAYANh4AVgOIChJ1Y4BObYfJBEJlaWOEh7WZTBbg + +XB7MKCkNhjBAAYTY+DYpCqAGILuiMTNyppcNgxsooUIOMR4YjkRJIdZmHBcIFclj + +IF1CPh8ABlWAgiSSXEaQIMiAQqEwgDqz0kx3BkOhCHZME56EEHn5hN+HHC+TQsQe + +bBp2DUR016IeBOEcAAksQNagCgBdB6E4lq5hWjhCFnghArY6xW4JHo8V63VIPRgs + +dhcNB7ENMVicGqcMTcW4pHq3HqXAMPQjMAAimSgXrQXQIYQemmExIAosFsrkXW78 + +A8hHBiLgC8RjlcUik/cmErEEjweg8iBwxtxXe7ipBEXjC6hi/hS9OIHA2IQ64Vp2 + 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b/!Załączniki/20230303101829 2023-03-03 10.30.28.excalidraw.md @@ -0,0 +1,1324 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm1YgHYaOiCEfQQOKGZuAG1wMFAw + +MogSbggANgApegArSRgAJQBhAE0AMQA5NrYehIBVABYAVgR6AAV0sshYRCqAM0CE + +Typ+csxuZwBmAAYEzcgYbliebRH96p4x44gKEnVuAE57yQRCZWkz2N376zKYLcfb + +3ZhQUhsADWCH6+DYpCqAGJ9qi0bNyppcNgocpIUIOMQ4QiqhDrMw4LhArkMZAloR + +8PgAMqwYESSTYjSBWkQcGQmEAdSekjOYIh0IQLJgbPQgg8PPx3w44XyaFi9zYlOw + +alOatR9zxwjgAEliKrUAUALr3fGE5XMc0cISMsEINbcBLjMYpWJjQ73RgsdhcNA8 + +aoBpisTg9ThiM7VA4JF4vMYvcPFSCEZgAEUyUHdaCWBDC900wkJAFFgtlco7nfh7 + +kI4MRcPniPGUikErsxp6u7sRvciBwodwnS6MxB4TiC6gi/gS5O4GxCLXChmwEU5m + 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newline at end of file diff --git a/!Załączniki/20230303101829 2023-03-03 10.33.57.excalidraw.md b/!Załączniki/20230303101829 2023-03-03 10.33.57.excalidraw.md new file mode 100644 index 0000000..ad71f42 --- /dev/null +++ b/!Załączniki/20230303101829 2023-03-03 10.33.57.excalidraw.md @@ -0,0 +1,1548 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm1YgHYaOiCEfQQOKGZuAG1wMFAw + +MogSbggAFgAVAC0ANWJnWoAxbHoAUQTnFIBrAH0ARVIAVgA5YnSyyFhEKoAzQIRP + +Kn5yzG5nHgBmAE4NyBht2IAGfe0x/d2UsaOIChJ1bl3qh8kEQmVpbmqANge1mUwW + +4ZwezCgpDY/QQAGE2Pg2KQqgBiM4YzEzcqaXDYfrKaFCDjEBFIlESKHWZhwXCBXL + +YyCLQj4fAAZVgoIkkjxGkCjIgkOhsIA6s9JGCrhCoTCEByYFz0IIPAKiT8OOF8mh + 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10.52.58.excalidraw.md @@ -0,0 +1,2148 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm1YgHYaOiCEfQQOKGZuAG1wMFAw + +MogSbggAYQApTHoAFQAlAHU4AH04AHEORsJW7FaU5uqO9LLIWEQqgDNAhE8qfnLM + +bmcAFliANhXIGHXYjYBWbWOATgBmFOO9iAoSdW4eDbvJBEJlaW4U3eLIazKYLcAA + +Md2YUFIbAA1ghqmx8GxSFUAMQg9EYiblTS4bDQ5RQoQcYjwxHIiSQ6zMOC4QK5LG + +QWaEfD4ADKsGBEkkuI0gQZEAhUNhrUeklBZ3BkJhCHZME56EEHn5hK+HHC+TQsTu + +bBp2DUB016LuBOEcAAksQNagCgBdO6E4lq5hWjhCFnghCLbixY4pc4JHY8S5a/4M + +JisTje16hxgsdgcABynDE3GuG3OINiPF9d0IzAAIpkoF60LMCGE7pphMSAKLBbK5 + +F1u/B3IRwYi4YvEb3bFIpBLXWIJFLXW6hogcaHcV3u8dsPEl1Bl/AV0NwNiERuFf + +5gIqTMpgndgEE7u07vf7zZ7Mo+0/Xi+TK9Hod389H5xj/dgS48V/7h9lM4fxfhsK + 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b/!Załączniki/20230303101829 2023-03-03 11.22.36.excalidraw.md new file mode 100644 index 0000000..00c823e --- /dev/null +++ b/!Załączniki/20230303101829 2023-03-03 11.22.36.excalidraw.md @@ -0,0 +1,4146 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +# ^z53oilxk + +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm1YgHYaOiCEfQQOKGZuAG1wMFAw + +Muh4cXQAM0CETyp+csYWdi40WIBmJsgW1k4AOU4xbi6ANliElIBWAAYE7uLIQmYA + +EUyoeu5qgjCeiBJuCAAZAAkjTA4AQUJlZzGAJWmAdQQ4SQA1AH0AazgufbVQj4fA + +AZVgwSOklw2A0gXSZQEUFIbB+CGeJHU3Fm2mm+2YyNRCHBMEhEkEHgR5RRfkkHHC + ++Q6+zYcBhahgo1ms321mUZNQ3KWEEw3GcnR4eKFHLQzmmY1xAE5OjN8YS0QBhNj4 + +NikI4AYi5htmVMgmhhP2UNI4xE12t1EmR1mYrMCuRNEAomMk3EWiKkCFu0m4ABY+ + 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b/.obsidian/graph.json @@ -17,6 +17,6 @@ "repelStrength": 10, "linkStrength": 1, "linkDistance": 250, - "scale": 0.6826227075497485, + "scale": 0.06654622416780386, "close": true } \ No newline at end of file diff --git a/.obsidian/plugins/obsidian-completr/scanned_words.txt b/.obsidian/plugins/obsidian-completr/scanned_words.txt index d980774..f23afbd 100644 --- a/.obsidian/plugins/obsidian-completr/scanned_words.txt +++ b/.obsidian/plugins/obsidian-completr/scanned_words.txt @@ -2668,6 +2668,7 @@ operacji oXH oXc okTp +oilxk GoTo GS Gl @@ -7901,6 +7902,7 @@ LIT Luv Ltfa LBO +LZUhrZsr Filter FlateDecode Font @@ -9229,6 +9231,8 @@ FBc FWYZLP FHB FYZj +FOPZeXC +Fvuflz stream sj sR @@ -11850,6 +11854,8 @@ JpJ JiY JvE JOf +Jest +JUvmNTb xM xw xfkW @@ -21114,6 +21120,7 @@ SNiF Sygnał Składnik Struktury +Stany Rect Re Resources @@ -44851,6 +44858,7 @@ lts literałową literałów logicznych +ldypnypc Kz KM Kw @@ -50024,6 +50032,7 @@ WQWSCF Występuje Wklejania Wiv +Wbi rM ra rv @@ -53957,6 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"file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md", - "mode": "source", - "source": false + "currentVersion": "1.1.16" } } } ], "currentTab": 1 - }, - { - "id": "4407a5afaa10cf0b", - "type": "tabs", - "children": [ - { - "id": "7fc08672b85d53c5", - "type": "leaf", - "state": { - "type": "pdf", - "state": { - "file": "AMiAL/!Materiały/calki_1.pdf" - } - } - } - ] } ], "direction": "vertical" @@ -114,7 +96,7 @@ "state": { "type": "backlink", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md", + "file": "Elektrotechnika/Ćwiczenia/20230303101829.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -131,7 +113,7 @@ "state": { "type": "outgoing-link", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md", + "file": "Elektrotechnika/Ćwiczenia/20230303101829.md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -154,7 +136,7 @@ "state": { "type": "outline", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md" + 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Wstęp 2023-03-01 09.16.08.excalidraw.md", "TC/Untitled.canvas" ] } \ No newline at end of file diff --git a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md b/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md index ee891ed..0bf9b75 100644 --- a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md +++ b/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md @@ -1,6 +1,26 @@ # Obliczyć całki. ## 1 -$$\int x^{2}(1-x)dx=\int x^{2}-x^{3}dx=$$ +$$\int x^{2}(1-x)dx=\int x^{2}-x^{3}dx=\int x^{2}dx+\int-x^{3}dx=\frac{x^{3}}{3}+\frac{-x^{4}}{4}+C$$ +## 2 +$$\int x^{-2}dx=-x^{-1}+C$$ +## 3 +$$\int \frac{dx}{10x}=\ln|10x|+C$$ +## 4 +$$\int \frac{dx}{3x^{4}}=\ln|3x^{4}|+C$$ +## 5 +$$\int\left(\frac{3}{x^{2}}+\frac{4}{x^{3}}\right)dx=\int\frac{3}{x^{2}}dx+\int\frac{4}{x^{3}}dx=3\ln|x^{2}|+4\ln|x^{3}|+C$$ +## 6 +$$\begin{gathered} + +\int\frac{(3-x)^{2}}{x^{3}}dx=\int\frac{9-6x+x^{2}}{x^{3}}dx=\int\frac{9}{x^{3}}dx+\int\frac{-6x}{x^3}dx+\int\frac{x^{2}}{x^{3}}dx= +\newline +\newline +9\ln|x^{3}|-6\ln|x^2|+\ln|x|+C +\end{gathered} +$$ +## 7 +$$\int\frac{1-x^{2}}{x^{3}}dx=\int\frac{1}{x^{3}}dx+\int-\frac{x^{2}}{x^{3}}dx=\ln|x^{3}|-\ln|x|$$ + ## 9. $$\int x\sqrt{x}\ dx= \int x^{\frac{3}{2}}dx= \frac{x^{\frac{5}{2}}}{\frac{5}{2}}+c=\frac{2x^{\frac{5}{2}}}{5}+c$$ diff --git a/Elektrotechnika/Ćwiczenia/20230303101829.md b/Elektrotechnika/Ćwiczenia/20230303101829.md new file mode 100644 index 0000000..851c70e --- /dev/null +++ b/Elektrotechnika/Ćwiczenia/20230303101829.md @@ -0,0 +1,36 @@ +![[20230303101829 2023-03-03 10.18.36.excalidraw]] + +![[20230303101829 2023-03-03 10.22.33.excalidraw]] + +Stany nieustalone: +![[20230303101829 2023-03-03 10.28.21.excalidraw]] + +![[20230303101829 2023-03-03 10.30.28.excalidraw]] + +![[20230303101829 2023-03-03 10.33.57.excalidraw]] + + + + + +Jest prund. + +![[20230303101829 2023-03-03 10.37.30.excalidraw]] + +![[20230303101829 2023-03-03 10.48.45.excalidraw]] + +![[20230303101829 2023-03-03 10.50.14.excalidraw]] + +![[20230303101829 2023-03-03 10.52.58.excalidraw]] + + +![[20230303101829 2023-03-03 10.57.24.excalidraw]] + + + + +![[20230303101829 2023-03-03 11.22.36.excalidraw]] + + + +