From 469b7f4839b03864bcb001d20618af0fef9ff3e1 Mon Sep 17 00:00:00 2001 From: prokopparuzek Date: Mon, 20 Jul 2026 13:27:24 +0200 Subject: [PATCH] calculus rhapsody 1 --- .latexmkrc | 1 + .vscode/settings.json | 3 -- pisne/calculusRhapsody.tex | 74 +++++++++++++++++++++++++++++++++++++ zpevnik.pdf | Bin 136809 -> 138357 bytes zpevnik.tex | 4 +- 5 files changed, 77 insertions(+), 5 deletions(-) create mode 100644 .latexmkrc delete mode 100644 .vscode/settings.json create mode 100644 pisne/calculusRhapsody.tex diff --git a/.latexmkrc b/.latexmkrc new file mode 100644 index 0000000..d78de37 --- /dev/null +++ b/.latexmkrc @@ -0,0 +1 @@ +$pdflatex=q/xelatex -synctex=1 %O %S/ \ No newline at end of file diff --git a/.vscode/settings.json b/.vscode/settings.json deleted file mode 100644 index ff86d0d..0000000 --- a/.vscode/settings.json +++ /dev/null @@ -1,3 +0,0 @@ -{ - "latex-workshop.latex.recipe.default": "XeLaTeX (2 passes)", -} \ No newline at end of file diff --git a/pisne/calculusRhapsody.tex b/pisne/calculusRhapsody.tex new file mode 100644 index 0000000..daf189f --- /dev/null +++ b/pisne/calculusRhapsody.tex @@ -0,0 +1,74 @@ +\begin{song}[remember-chords=false]{title={Calculus Rhapsody}, music={Queen}, lyrics={Phil Kirk \& Mike Gospel}} + \begin{verse} + ^{G7}Is this x defined? ^{C7}Is f ^*{Gm7}con ^*{C7}ti ^*{Gm7}nu ^{C7}ous? \\ + ^{F7}How do you ^{Cm7}find ^{F7}out? You can ^{B}use the ^*{Cm7} li^{B}mit ^*{F7} pro^{B}cess. \\ + ^{Gm7}Approach from both sides, The ^{B7}left and the right and ^{Eb}meet. \\ + ^{Cm7}Im a just a limit, ^{F7}defined analytically. Functions \\ + ^*{H}continu ^{B}ous, ^{A}Theres no ^{B}holes, ^{H}No sharp ^{B}points, ^{A}Or asymp^{B}totes. \\ + ^{Eb}Any way this ^{B}graph goes. ^{C#dim7}It is diffe^{F7}rentiable for me for ^{B}me. + \end{verse} + \begin{verse} + ^{B}All year, in ^{Gm}Calculus Weve ^{Cm}learned so many things \\ + About which ^{Cm7}we are going to ^{F7}sing \\ + ^{B}We can find derivatives And ^{Gm}integrals \\ + And ^{Cm}the area en^{Eb}closed bet^{Eb}ween ^{Am7}two curves. + \end{verse} + \begin{verse} + ^{Eb}Y prime ^{H}oooh^{Cm}\_\_\_ Is the ^{Fm}derivative ^{E5+}of ^{Ab}y \\ + Y ^{B7}equals x to the n, dy/^{Eb}dx \\ + ^{B}Equals ^{Cm}n times ^{Abm}x To the ^{Eb}n-1. \\ + \end{verse} + \begin{verse} + Other applications Of derivatives apply \\ + If y is divided or multiplied \\ + You use the quotient And product rules \\ + And dont you forget To do the dance \\ + Also oooh (dont forget the chain rule) \\ + Before you are done, \\ + You gotta remember to multiply by the chain \\ + \end{verse} + + (Instrumental solo) + + \begin{verse} + I need to find the area under a curve \\ + Integrate! Integrate! You can use the integration \\ + Raise exponent by one multiply the reciprocal \\ + Plus a constant Plus a constant \\ + Add a constant Add a constant \\ + Add a constant labeled C \\ + (Labeled C-ee-ee-ee-ee) \\ + Im just a constant \\ + Nobody loves me. \\ + Hes just a constant \\ + Might as well just call it C \\ + Never forget to add the constant C \\ + Can you find the area between f and g \\ + In-te-grate f and then integrate g \\ + (then subtract) \\ + To revolve around the y-axis \\ + (integrate) \\ + outer radius squared minus inner radius squared \\ + (multiplied) \\ + multiplied by pi \\ + (multiply) \\ + Multiply the integral by pi! \\ + Pi tastes real good with whipped cream! \\ + Mama-Mia, Mama-Mia \\ + Mama-Mia let me go. \\ + Pre-calculus did not help me to prepare for Calculus, for Calculus, help me! \\ + \end{verse} + + (Interlude) + + \begin{verse} + So you think you can find out the limit of y? \\ + So you think youll find zero and have it defined \\ + Oh baby cant define that point baby \\ + Its undefined Goes to positive and negative infinity \\ + Oooh. Oooh yeah, oooh yeah. Differentiation \\ + Anyone can see Any mere equation \\ + It is differentiable for me. \\ + (Any way this graph goes) \\ + \end{verse} +\end{song} \ No newline at end of file diff --git a/zpevnik.pdf b/zpevnik.pdf index dee340ade36c371511b4c8182bee4c388e00a0c1..87b3ece2e7e3be495f5079117df0bf827b6220fc 100644 GIT binary patch delta 46057 zcmZs?Q*>_ay0jaN*tTukwr$&X-eknKZQJ&U%@NzSv%k65I+%0)^Q<5DYOStTchz%N z4f)g#2}!0XDo)2l&k+dO0tt+-o0gCUOb%dYVddwCc5!t!GqQvBT<_7EjJ;ro-Fl(< z1f6H2ibxC)LI?APan&$%7sE($T2#aM`jMlOPA1z(a=NyQ3S^2fh=V$)n8(@7P zkOiiQTQST(`(nU<%g7TbBQPjqFfanKs3ytQzgYxJa&o%o-7Q@`YD@Ea_UtK6egz~2 zU5tRw=7HRD98w%hNZiGFwem{4WWYTv&oFphzJFXW_$KEhN(Cn?H2y)k^D-<9@lHO1 zv)qfh{#>h?joQl*=zBooKjhe+D8OGa5i~c+nZAL@b&l$F>-j~PTjB}#s9cMQ3sCr) zxvq&+ot?F@qdf4M{dD)g?77YtegnvtTUy30j?DZKvVK1Zb33#^I&mNI#U;~<9RM1J z>LUN);QYc{rghE%($~MH`6B z=ZqJip`>VHK!tvZBv^#V}c90B;t zt+!zWRe}0n3(?CO8~^IA*8|f07zCT7=<8d!lFYZJgcxXz>TtCz1~i++sFhLta00A` z+RX2-T-#1dRQ29sKxFvmyS&xrnO4qJzfYLj_M6I$S`#`5YaoF#`>nC*LmVL1ErMj+ 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