Which regions have population ls with 7 as the power of 10

Mathematics

1 answer:

Kryger [21]2 years ago

5 0

From the list, the only region that has a population with seven as the power of ten is Oceania.

<h3>What is the meaning of "the power of ten"?</h3>

In mathematics, large numbers are often expressed as the power of ten. For example 6500 can be expressed as 65 x 10^2 as the exponent (2) indicates the number of zeros.

<h3>What region has a population with seven as the power of ten?</h3>

From the options, the only region that has as a exponent the number seven is Oceania.

Note: This question is incomplete; here is the missing information:

In the introduction, we looked at the human populations of different geographic groups. There are about 1 x 10^9 people in Africa, 4.2 x 10^9 in Asia, 7.4 x 10^8 in Northern America, 3.7 x 10^7 in Oceania, and 6 x 10^8 in Latin America and the Caribbean.

Learn more about exponent in: brainly.com/question/5497425

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3 years ago

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Nikolay [14]

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

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

but the integrand is even, so this is really just

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

Substitute x = 1/2 arccot(u/2), which transforms the integral to

$\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du$

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

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