1.
![y'=(10*cosx+ \frac{36x}{ \pi }-6 )'=-10sinx+ \frac{36}{ \pi }](https://tex.z-dn.net/?f=y%27%3D%2810%2Acosx%2B+%5Cfrac%7B36x%7D%7B+%5Cpi+%7D-6+%29%27%3D-10sinx%2B+%5Cfrac%7B36%7D%7B+%5Cpi+%7D+)
2. y'=0,
![-10sinx+ \frac{36}{ \pi } =0](https://tex.z-dn.net/?f=-10sinx%2B+%5Cfrac%7B36%7D%7B+%5Cpi+%7D+%3D0)
![sinx= \frac{3,6}{ \pi }](https://tex.z-dn.net/?f=sinx%3D+%5Cfrac%7B3%2C6%7D%7B+%5Cpi+%7D+)
3,6/π>1
=> решений нет
3. вычислить значение функции на концах отрезка [
![- \frac{2 \pi }{3} ;0](https://tex.z-dn.net/?f=-+%5Cfrac%7B2+%5Cpi+%7D%7B3%7D+%3B0)
]
![y(- \frac{2 \pi }{3} )=10*cos(- \frac{2 \pi }{3} )+ \frac{36}{ \pi } *(- \frac{2 \pi }{3} )-6=](https://tex.z-dn.net/?f=y%28-+%5Cfrac%7B2+%5Cpi+%7D%7B3%7D+%29%3D10%2Acos%28-+%5Cfrac%7B2+%5Cpi+%7D%7B3%7D+%29%2B+%5Cfrac%7B36%7D%7B+%5Cpi+%7D+%2A%28-+%5Cfrac%7B2+%5Cpi+%7D%7B3%7D+%29-6%3D)
![=10*(- \frac{1}{2} )-24-6=-35](https://tex.z-dn.net/?f=%3D10%2A%28-+%5Cfrac%7B1%7D%7B2%7D+%29-24-6%3D-35)
![y(0)=10*cos0+ \frac{36}{ \pi } *0-6=10-6=4](https://tex.z-dn.net/?f=y%280%29%3D10%2Acos0%2B+%5Cfrac%7B36%7D%7B+%5Cpi+%7D+%2A0-6%3D10-6%3D4)
ответ: y(-2π/3)=-35 наименьшее значение функции.
90см2/30=3см ширина
30см/3=10раз больше длина
27 = 3 • 3 • 3.
625=5·5·5·5
920=2·2·2·5·23
<u>10850=2</u> * <u>5</u> * <u>5</u> * <u>7</u> * <u>3</u>1
1. 0.9×100=90
2. 90-120=-30