May 17, 2018 · After working with the Desmos calculator for a while, I wanted to give the geometry tool a try. I decided to try a pattern that I saw on the Pattern In Islamic Art website. This site has some great resources. The pattern that I tried was from David Wade's book Pattern in Islamic Art. The geometry tool requires much less algebraic manipulation ...

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MGK R. asked • 04/29/17 find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3 y=1 x=2 about the y-axis Sep 17, 2016 · They learned so much from this one task about the shape and key features of a parabola, not to mention the valuable skills of working together as a team. This is a must-do for all Math II (or Algebra 1) classes! We spent a few days working on vocabulary, interval notation, and sketching parabolas given key features.

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    V = π∫ r −r[(√r2 − x2 + R)2 −( −√r2 −x2 + R)2]dx, which simplifies to: V = 4πR∫ r −r√r2 − x2dx. Since the integral above is equivalent to the area of a semicircle with radius r, we have. V = 4πR ⋅ 1 2πr2 = 2π2r2R. Wataru · 4 · Aug 30 2014. Apr 04, 2018 · if you rotate base 45°, the new base vectors are and , the new parabola in the new base will have the same equation as the old one in the old base., you can always substitue the old vectors int the new equation to get the equation of the new parabole in th old base. as an exemple, take the most simple parabola: y-x^2=0.

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    How can I "rotate" a parabola. I want to take an image and make it kind of wavy to distort it (like in a capcha form the letters are distorted sometimes with a wave) . So i figure that I could translate the pixels along a parabola. So the function where y=X[itex]^{2}[/itex] would make the image curve downwards.

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    These triangles can have an angle that is bigger than 90°. Another reason is that we want to be able to describe the angle of a spinning object as it rotates through many revolutions. An example is an aerial skier who jumps and does 2 revolutions in the air. They are “doing a 720”, meaning that they are rotating through 720°.

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