1
1)F(x)=-1/x -x+C
2)F(x)=1/2*cos(5-2x)+C
3)F(x)=-2/3*ctg3x+C
4)f(x)=-2/[3(3x+5)] +C
5)F(x)=-4√(4-3x) +C
6)F(x)=4/5*(11-2x)^5 +C
7)F(x)=x^4+2x³/3+3x+C
2
1)F(x)=x³+x²-x+C
0=0+C
C=0
F(x)=x³+x²-x
2)F(x)=sin2x+C
-2=sinπ+C
C=-2
F(x)=sin2x-2
Пусть гипотенуза равна х по теореме Пифагора
х²=(х-5)²+(х-10)²
х²=х²-10х+25+х²-20х+100
х²=2х²-30х+125
х²-30х+125=0
D=900-500=400
х=25 гипотенуза
х=5не подходит
25х - х² = 0
-x² + 25x = 0
а= - 1 ; b = 25 ; с= 0
D = 25² - 4*(-1)*0 = 25² = 625
x₁ = ( - 25 - 25)/(2*(-1)) = - 50/(-2) = 25
x₂ = (-25+25)/( 2 *(-1)) = 0
3x² - 48 = 0
a=3 ; b=0 ; с= - 48
D = 0 - 4*3*(-48) = 576 = 24²
x₁ = -24/(2*3) = - 24/6 = - 4
x₂ = 24/(2*3) = 24/6 = 4
27х - х² = 0
-х² + 27х = 0
а= - 1 ; b = 27 ; с =0
D = 27² - 4*(-1)*0 = 27² = 729
x₁ = ( -27 - 27)/(2*(-1)) = -54/ -2 = 27
x₂ = (-27 + 27) / ( 2*(-1)) = 0
4x² - 36 = 0
a= 4 ; b = 0 ; с = -36
D = - 4*4*(-36) = 576 = 24²
x₁ = -24/(2*4) =- 24/8 = - 3
х₂ = 24/(2*4) = 24/8 = 3