List questions from curves

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Area Between $\log(x)$ And $(\log(x))^2$

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Level curves of powers of a sphere

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Help in showing that an evolute is the envelope of the normals to a curve

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Natural logarithm curve sketching

Published on 21 Sep 2015 - 13:06

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Logarithm function does not have discontinuity

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For a regular parametrised plane curve $\alpha$, show that $\langle \alpha''(t),n(t)\rangle =- \langle \alpha'(t),n'(t)\rangle$

Published on 28 Mar 2026 - 6:15

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Show that $|\alpha'(t)|^2-1=0$ for any arbitrary parameter $t$

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How to obtain the best fit?

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Imaginary vector field lines

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Proof a curve for which all osculating planes go through the origin is planar

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Area between $y = \sqrt{x}$ and $y = 4 - 0.5x$

Published on 26 Sep 2015 - 19:34

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Which one is the correct normal vector?

Published on 29 Sep 2015 - 5:59

64

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Parametric differentiation for equation of a tangent.

Published on 02 Apr 2026 - 21:50

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Which is this curve?

Published on 03 Apr 2026 - 15:51

List Question

Line Integrals and Parametrizations

Area Between $\log(x)$ And $(\log(x))^2$

Level curves of powers of a sphere

Help in showing that an evolute is the envelope of the normals to a curve

Natural logarithm curve sketching

Logarithm function does not have discontinuity

For a regular parametrised plane curve $\alpha$, show that $\langle \alpha''(t),n(t)\rangle =- \langle \alpha'(t),n'(t)\rangle$

Show that $|\alpha'(t)|^2-1=0$ for any arbitrary parameter $t$

How to obtain the best fit?

Imaginary vector field lines

Proof a curve for which all osculating planes go through the origin is planar

Area between $y = \sqrt{x}$ and $y = 4 - 0.5x$

Which one is the correct normal vector?

Parametric differentiation for equation of a tangent.

Which is this curve?

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