Пошаговое объяснение:
1 . A(3,-1,3) B(3,-2,2) C(2,2,3) D(2,2,2) ;
AD = √[ (2 - 3)²+ ( 2 + 1 )² + (2 - 3 )²] = √ (1 + 9 + 1 ) = √11 ;
AC = √ [ ( 2 - 3 )² + ( 2 + 1 )² + ( 3 - 3 )²] = √ ( 1 +9 + 0 ) = √10 .
CD = √ [ ( 2 - 2 )² + (2 - 2 )² + ( 2 -3 )²] = √ ( 0 + 0 + 1 ) = √ 1 = 1 .
2 . ∫ ( 1/cos²x - 6eˣ - 1/x + 2 )dx = tgx - 6eˣ - ln | x | + 2x + C .
Пошаговое объяснение:
1 . A(3,-1,3) B(3,-2,2) C(2,2,3) D(2,2,2) ;
AD = √[ (2 - 3)²+ ( 2 + 1 )² + (2 - 3 )²] = √ (1 + 9 + 1 ) = √11 ;
AC = √ [ ( 2 - 3 )² + ( 2 + 1 )² + ( 3 - 3 )²] = √ ( 1 +9 + 0 ) = √10 .
CD = √ [ ( 2 - 2 )² + (2 - 2 )² + ( 2 -3 )²] = √ ( 0 + 0 + 1 ) = √ 1 = 1 .
2 . ∫ ( 1/cos²x - 6eˣ - 1/x + 2 )dx = tgx - 6eˣ - ln | x | + 2x + C .