![1954)y=3\sqrt2cosx+3x-\frac{3\pi}{4}+7;[0;\frac{\pi}{2}]\\y`=-3\sqrt2sinx+3\\-3\sqrt2sinx+3=0\\sinx=\frac{1}{\sqrt2}\\x_1=\frac{\pi}{4}+2\pi n;n\in Z\\\\x_2=\frac{3\pi}{4}+2\pi n;n\in Z](https://tex.z-dn.net/?f=1954%29y%3D3%5Csqrt2cosx%2B3x-%5Cfrac%7B3%5Cpi%7D%7B4%7D%2B7%3B%5B0%3B%5Cfrac%7B%5Cpi%7D%7B2%7D%5D%5C%5Cy%60%3D-3%5Csqrt2sinx%2B3%5C%5C-3%5Csqrt2sinx%2B3%3D0%5C%5Csinx%3D%5Cfrac%7B1%7D%7B%5Csqrt2%7D%5C%5Cx_1%3D%5Cfrac%7B%5Cpi%7D%7B4%7D%2B2%5Cpi+n%3Bn%5Cin+Z%5C%5C%5C%5Cx_2%3D%5Cfrac%7B3%5Cpi%7D%7B4%7D%2B2%5Cpi+n%3Bn%5Cin+Z)
------(+)--------[0]----(+)---[п/4]----(-)----[п/2]---(-)-->x
x=п/6
Наибольшее значение в точке экстремума
![y(\frac{\pi}{4})=3\sqrt2*cos\frac{\pi}{4}+3\frac{\pi}{4}-3\frac{\pi}{4}+7=10](https://tex.z-dn.net/?f=y%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%3D3%5Csqrt2%2Acos%5Cfrac%7B%5Cpi%7D%7B4%7D%2B3%5Cfrac%7B%5Cpi%7D%7B4%7D-3%5Cfrac%7B%5Cpi%7D%7B4%7D%2B7%3D10)
![1956)y=\frac{16\sqrt3}{3}cosx+\frac{8\sqrt3}{3}x-\frac{4\sqrt3\pi}{9}+6;[0;\frac{\pi}{2}]\\y`=-\frac{16\sqrt3}{3}sinx+\frac{8\sqrt3}{3}\\-\frac{16\sqrt3}{3}sinx+\frac{8\sqrt3}{3}=0\\sinx=\frac{1}{2}\\x_1=\frac{\pi}{6}+2\pi n;n\in Z;\\x_2=\frac{5\pi}{6}+2\pi n;n\in Z;](https://tex.z-dn.net/?f=1956%29y%3D%5Cfrac%7B16%5Csqrt3%7D%7B3%7Dcosx%2B%5Cfrac%7B8%5Csqrt3%7D%7B3%7Dx-%5Cfrac%7B4%5Csqrt3%5Cpi%7D%7B9%7D%2B6%3B%5B0%3B%5Cfrac%7B%5Cpi%7D%7B2%7D%5D%5C%5Cy%60%3D-%5Cfrac%7B16%5Csqrt3%7D%7B3%7Dsinx%2B%5Cfrac%7B8%5Csqrt3%7D%7B3%7D%5C%5C-%5Cfrac%7B16%5Csqrt3%7D%7B3%7Dsinx%2B%5Cfrac%7B8%5Csqrt3%7D%7B3%7D%3D0%5C%5Csinx%3D%5Cfrac%7B1%7D%7B2%7D%5C%5Cx_1%3D%5Cfrac%7B%5Cpi%7D%7B6%7D%2B2%5Cpi+n%3Bn%5Cin+Z%3B%5C%5Cx_2%3D%5Cfrac%7B5%5Cpi%7D%7B6%7D%2B2%5Cpi+n%3Bn%5Cin+Z%3B)
-------(+)-----[0]---(+)---[п/6]---(-)----[п/2]--(-)-->x
x=п/3
Наибольшее значение в точке экстремума
![y(\frac{\pi}{6})=\frac{16\sqrt3}{3}*cos\frac{\pi}{6}+\frac{4\sqrt3*\pi}{9}-\frac{4\sqrt3*\pi}{9}+6=\frac{16\sqrt3\sqrt3}{3*2}+6=14](https://tex.z-dn.net/?f=y%28%5Cfrac%7B%5Cpi%7D%7B6%7D%29%3D%5Cfrac%7B16%5Csqrt3%7D%7B3%7D%2Acos%5Cfrac%7B%5Cpi%7D%7B6%7D%2B%5Cfrac%7B4%5Csqrt3%2A%5Cpi%7D%7B9%7D-%5Cfrac%7B4%5Csqrt3%2A%5Cpi%7D%7B9%7D%2B6%3D%5Cfrac%7B16%5Csqrt3%5Csqrt3%7D%7B3%2A2%7D%2B6%3D14)
файл
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Линейная функция имеет вид: y=kx+b, находим функции, которые соответствуют этой записи: 1) y=x/5+4
2) y=2.5x
3) y=(x+3)/2
4) y=5-0.2x
5)y=-x/10
6) y=x/7-1
Удачи!
Тут все через формулу, не так уж и сложно. думаю, что помог)))
3,376*(15,726-11,726)-7,376*(15,726-11,726)=
=(15,726-11,726)*(3,373-7,376)=4*(-4)=-16