The country of Sylvania has decided to reduce the number of its illiterate citizens by

Mathematics

2 answers:

kumpel [21]3 years ago

7 0

Question: The country of Sylvania has decided to reduce the number of its illiterate citizens by

are 3/5 illiterate people in the country.

each year. This year there are 9000 illiterate people in the country. Write a function that gives the number of illiterate people Sylvania, P(t), t years from today. P(t)=

Answer: 9000(2/5)^t

Levart [38]3 years ago

4 0

Answer:

9000*(2/5)^t

Step-by-step explanation:

It would not work easily for me the other way, so I rewrote it how Khan accepts it lol

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Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t

rodikova [14]

$\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}$

The distance traveled by the particle is given by the definite integral

$\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

where $C$ is the path of the particle. The distance is then

$\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi$