572.
а) 7 2/13 • 2 = 93/13 • 2/1 = 186/13 = 14 4/13
б) 5 7/16 • 8 = 97/16 • 8/1 =97/2 • 1/1 = 97/2 = 48 1/2 = 48,5
в) 8 3/28 • 5 = 307/28 • 5/1 = 1535/28 = 54 23/28
г) 5/1 • 3 1/5 = 5 • 3,2 = 16
д) 6 3/8 • 2 = 51/8 • 2/1 = 51/4 • 1 = 51/4 = 12 3/4 = 12,75
е) 9 2/9 • 9 = 83/9 • 9/1 = 83
573.
а) (3 3/5 - 2 1/15) • 5 = 2 2/3
1) 3 3/5 - 3 1/15 = 3 9/15 - 3 1/15 = 8/15 2) 8/15 • 5/1 = 8/3 = 2 2/3
б) (1 14/17 - 1 1/34) • 34 = 27
1) 1 14/17 - 1 1/34 = 1 28/34 - 1 1/34 = 27/34
2) 27/34 • 34/1 = 27
в) 3/17 • 5 1/4 + 3 14/17 • 5 1/4 = ( 3/17 + 3 14/17) • 5 1/4 = 4/1 • 21/4 = 21
Больше не могу, сори, время поджимает
Пошаговое объяснение:
10.28 . ∫ dx/e²ˣ⁻¹ = ∫ e⁻²ˣ⁺¹ dx = - 1/2 * e⁻²ˣ⁺¹ + C .
10.29 . ∫ ⁵√( 3x + 2 )dx = ∫ ( 3x + 2 )^( 1/5 )dx = 6/5 *1/3 *( 3x + 2 )^( 6/5 ) +
+ C = 0,4 ⁵√( 3x + 2 )⁶ + C = 0,4 ( 3x + 2 )⁵√( 3x + 2 ) + C .
10.30 . ∫ dx/( 4x + 3 )⁵ = ∫ ( 4x + 3 )⁻⁵dx = ( 4x + 3 )⁻⁴/( - 4 ) * 1/4 + C =
= - 1/16( 4x + 3 )⁴ + C .
10.31 . ∫ dx/( 3x + 1 ) = 1/3 * ln | 3x + 1 | + C .
10.32 . ∫ dx/√ ( 2 - x ) = - 1/1 * ( 2 - x )^( 1/2 ) : ( 1/2) = - 2 √( 2 - x ) + C .
10.33 . ∫ dx/√ ( x² + 2 ) = ∫ d ( x² + 2 )/2√( x² + 2 ) = 1/2 ∫( x² + 2 )^(- 1/2 ) x
x d ( x² + 2 ) = 1/2 * 2√( x² + 2 ) + C = √( x² + 2 ) + C
1. 18 + 36 : 9 + 6 • 8 = 70
2. (80 + 180 : 3) + 60 + 200