Exercise
https://texercises.com/exercise/skizzieren/
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Exercise:
Mit Taschenrechner: Skizziere für leq t leq pi die Kurve mit der Gleichung medskip dsvecrt pmatrix sin t pi t - t^/ pmatrix medskip und berechne die Länge der Kurve auf dem angegebenen Intervall.

Solution:
tikzpicturescale.smooth defxmin- defxmax defymin- defymax %%% tikzsetdeclare functionfx*sinx r; tikzsetdeclare functiongxx*pi-x/; %%% drawhelp lines xminymin grid xmaxymax; %%% drawthick-latex xmin -- xmax noderight x; drawthick-latex ymin -- ymax nodeabove y; %%% clip xminymin rectangle xmaxymax; %%% drawthickreddomain:*pi plot fx gx; tikzpicture xt sin t quadRightarrowquad dotxt cos t yt pi t - t^/ quadRightarrowquad dotyt pi - t medskip edt b _^pi sqrtdotxt^ + dotyt^ mboxdt _^pi sqrtcos^t + pi-t^ mboxdt approx . ed
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\(\LaTeX\)-Code
Exercise:
Mit Taschenrechner: Skizziere für leq t leq pi die Kurve mit der Gleichung medskip dsvecrt pmatrix sin t pi t - t^/ pmatrix medskip und berechne die Länge der Kurve auf dem angegebenen Intervall.

Solution:
tikzpicturescale.smooth defxmin- defxmax defymin- defymax %%% tikzsetdeclare functionfx*sinx r; tikzsetdeclare functiongxx*pi-x/; %%% drawhelp lines xminymin grid xmaxymax; %%% drawthick-latex xmin -- xmax noderight x; drawthick-latex ymin -- ymax nodeabove y; %%% clip xminymin rectangle xmaxymax; %%% drawthickreddomain:*pi plot fx gx; tikzpicture xt sin t quadRightarrowquad dotxt cos t yt pi t - t^/ quadRightarrowquad dotyt pi - t medskip edt b _^pi sqrtdotxt^ + dotyt^ mboxdt _^pi sqrtcos^t + pi-t^ mboxdt approx . ed
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Tags
kurve, mathematik, pam, skizzieren, taschenrechner, tr
Content image
Difficulty
(3, default)
Points
3 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration
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Link