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3 years ago

F (x)=5x+1 9(x)=-2x+15

Mathematics

1 answer:

german3 years ago

4 0

Answer:

x = 0

Step-by-step explanation:

(x)=5x+19(x)=-2x+15

We move all terms to the left:

(x)-(5x+19(x))=0

We add all the numbers together, and all the variables

x-(+24x)=0

We get rid of parentheses

x-24x=0

We add all the numbers together, and all the variables

-23x=0

x=0/-23

x=0

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Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

$\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

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$\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

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There are lots of ways to compute this. What I did was to consider the complex contour integral

$\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz$

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

$\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}$

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

$\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}$

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2 years ago

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lions [1.4K]

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- $\frac{3}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Given

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y = - $\frac{3}{2}$ x - 4 ← in slope- intercept form

with gradient = - $\frac{3}{2}$

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