наверное ответ - 25 .............
P(a)=a^2-4a+9a^2-a-2=10a^2-5a-2 p(-3)=10*9-5(-3)-2=90+15-2=103
Если проценты сложные, то
![10\%=0,1\\\\A=30000(1+0,1)^2=36300](https://tex.z-dn.net/?f=10%5C%25%3D0%2C1%5C%5C%5C%5CA%3D30000%281%2B0%2C1%29%5E2%3D36300)
Если проценты простые, то
![30000\cdot 0,1=3000\\\\A=30000+2\cdot 3000=36000](https://tex.z-dn.net/?f=30000%5Ccdot%200%2C1%3D3000%5C%5C%5C%5CA%3D30000%2B2%5Ccdot%203000%3D36000)
При f'(x)>0 функция монотонно возрастает
при f'(x)<0 функция монотонно убывает
a)
![f(x)=3x^3-6x+1 \\ f'(x)=9x^2-6 \\ \\ 9x^2-6\ \textgreater \ 0 \\ (x- \frac{ \sqrt{6} }{3} )(x+ \frac{ \sqrt{6} }{3})\ \textgreater \ 0 \\ \\ x \in (-\infty;- \frac{ \sqrt{6} }{3} ) \cup ( \frac{ \sqrt{6} }{3} ;+\infty)](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3-6x%2B1+%5C%5C+f%27%28x%29%3D9x%5E2-6+%5C%5C++%5C%5C+9x%5E2-6%5C+%5Ctextgreater+%5C+0+%5C%5C+++%28x-+%5Cfrac%7B+%5Csqrt%7B6%7D+%7D%7B3%7D+%29%28x%2B+%5Cfrac%7B+%5Csqrt%7B6%7D+%7D%7B3%7D%29%5C+%5Ctextgreater+%5C+0+%5C%5C++%5C%5C+x+%5Cin+%28-%5Cinfty%3B-+%5Cfrac%7B+%5Csqrt%7B6%7D+%7D%7B3%7D+%29+%5Ccup+%28+%5Cfrac%7B+%5Csqrt%7B6%7D+%7D%7B3%7D+%3B%2B%5Cinfty%29)
возрастает
убывает:
![x \in (- \frac{ \sqrt{6} }{3} ; \frac{ \sqrt{6} }{3} )](https://tex.z-dn.net/?f=x+%5Cin+%28-+%5Cfrac%7B+%5Csqrt%7B6%7D+%7D%7B3%7D+%3B+%5Cfrac%7B+%5Csqrt%7B6%7D+%7D%7B3%7D+%29)
б)
![y=24x^3-3x^2-3x+7 \\ y'=72x^2-6x-3 \\ \\ 72x^2-6x-3=0 \\ D=36+864=900=30^2 \\ x_1=(6+30)/144 = \frac{36}{144 } = \frac{1}{4} \\ \\ x_2=(6-30)/144=- \frac{1}{6}](https://tex.z-dn.net/?f=y%3D24x%5E3-3x%5E2-3x%2B7+%5C%5C+y%27%3D72x%5E2-6x-3+%5C%5C++%5C%5C+72x%5E2-6x-3%3D0+%5C%5C+D%3D36%2B864%3D900%3D30%5E2+%5C%5C+x_1%3D%286%2B30%29%2F144+%3D+%5Cfrac%7B36%7D%7B144+%7D+%3D+%5Cfrac%7B1%7D%7B4%7D+%5C%5C++%5C%5C+x_2%3D%286-30%29%2F144%3D-+%5Cfrac%7B1%7D%7B6%7D+)
возрастает:
![x \in (-\infty;- \frac{1}{6} ) \cup ( \frac{1}{4} ;+\infty)](https://tex.z-dn.net/?f=x+%5Cin+%28-%5Cinfty%3B-+%5Cfrac%7B1%7D%7B6%7D+%29+%5Ccup+%28+%5Cfrac%7B1%7D%7B4%7D+%3B%2B%5Cinfty%29)
убывает:
![x \in (- \frac{1}{6} ; \frac{1}{4} )](https://tex.z-dn.net/?f=x+%5Cin+%28-+%5Cfrac%7B1%7D%7B6%7D+%3B+%5Cfrac%7B1%7D%7B4%7D+%29)
В третьей четверти находится парабола