4.66. Find the acute angle between the surfaces \( x y^{2} z=3 x+z^{2} \) and \( 3 x^{2}-y^{2}+2 z=1 \) at the point \( (1,-2,1) \). 4.67. Find the constants \( a \) and \( b \) so that the surface \( a x^{2}-b y z=(a+2) x \) will be orthogonal to the surface \( 4 x^{2} y+z^{3}=4 \) at the point \( (1,-1,2) \). 4.68. (a) Let \( u \) and \( v \) be differentiable functions of \( x, y \), and \( z \). Show that a necessary and sufficient condition that

совместісти решить ее: а) по формулам Крамера; б) с по- мощью обратной матрицы (матричным методом); в) методом Гаусса. 1.1. \( \left\{\begin{array}{l}2 x_{1}+x_{2}+3 x_{3}=7, \\ 2 x_{1}+3 x_{2}+x_{3}=1, \\ 3 x_{1}+2 x_{2}+x_{3}=6 .\end{array}\right. \) 1.2. \( \left\{\begin{array}{r}2 x_{1}-x_{2}+2 x_{3}=3, \\ x_{1}+x_{2}+2 x_{3}=-4, \\ 4 x_{1}+x_{2}+4 x_{3}=-3\end{array}\right. \)

\( \frac { 3 } { 2 } = \frac { .15 } { .15 } = \frac { } { 30 } \)

\( 286.72.8 \)

Дана функция \( f(x)=\frac{4}{\sqrt{x}}-\frac{3}{x^{5}} \). Общий вид первообразных функции - это \( \square \sqrt{x} \square \) (Лиии сокращённую дробь). ответить!

Given that the polynomial function has the given zero, find the other zeros. \( f(x)=x^{3}-11 x^{2}+44 x-60 ; 3 \) The other zero(s) is/are \( \square \). (Do not factor. Use a comma to separate answers as needed. Express complex numbers in terms of \( i \). Type each