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3 years ago

What is the quotient when -3^3 +5x+14 is divided by x-2? pleas hurry

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

$5- \frac{3}{x-2}$

Hope this helps. :)

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If a particle conned to move in one dimension has wavefunction ψ(x), then the probability of nding it between any two points x1

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$P(0,a/3)=\frac{1}{3}-\frac{\sqrt{3}}{4\pi}$

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The probability of finding a particle between two points is given by:

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Furthermore, the wave function of a nth state is given by:

$\Phi_n=\sqrt{\frac{2}{a}}sin(\frac{n\pi x}{a})$

By replacing we obtain

$P(0,\frac{x}{3})=\int_{0}^{\frac{a}{3}}\frac{2}{a}sin^2(\frac{n\pi x}{a})dx$

and by using the relation,

$sin^2\theta=\frac{1}{2}(1-cos(2\theta))$

we get for the ground state (n=1):

$P(0,a/3)=(\frac{2}{a})(\frac{1}{2})\int_{0}^{\frac{a}{3}}(1-cos(\frac{2\pi x}{a}))dx\\\\P(0,a/3)=(\frac{2}{a})(\frac{1}{2})[\frac{a}{3}-(\frac{a}{2\pi})sin(\frac{2\pi (a/3)}{a})]\\\\P(0,a/3)=(\frac{1}{a})[\frac{a}{3}-(\frac{a}{2\pi})(\frac{\sqrt{3}}{2})]=\frac{1}{3}-\frac{\sqrt{3}}{4\pi}$

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3 years ago