( 5/9 ) ¹²ˣ⁺³ = ( 9/5 ) ³ˣ⁺²⁷
( 5/9 ) ¹²ˣ⁺³ = ( 5/9 ) ⁻⁽³ˣ⁺²⁷⁾
( 5/9 ) ¹²ˣ⁺³ = ( 5/9 ) ⁻³ˣ⁻²⁷
12x + 3 = - 3x - 27
12x + 3x = - 27 - 3
15x = - 30
x = - 2
С=25,12
r.=?
П=3,14
25,12,:2*3,14=4
40÷8=5 -1/8
40+5=45 тетрадей
ответ: 45 тетрадей купили всего
2^(5x+16) = 2^(-1)
5x+16 = -1
5x = -17
x = -3,4
1.
f(x) = x³-2x²+3x+4; x0=2
f(2) = 2^3 - 2*2^2 + 3*2 +4 = 8-8+6+4 = 10
f'(x0) = (x³-2x²+3x+4)'=3x^2 - 4x + 3
f'(2) = 3*2^2 - 4*2 +3 = 12 - 8 +3 = 7
Уравнение касательной:
y = f(x0) + f'(x0)(x - x0)
y = 10 +7*(x-2)
2.
f(x) = x/4^4+x/2^2+2x-1; x0=2
f(2) = (2/4)^4 + (2/2)^2 +2*2 -1 = 1/16 + 1 +4 -1 = 1/16 +4 = 65/16
f'(x) = (x/4^4+x/2^2+2x-1)' = x^3 + x + 2
f'(2) = 2^3 + 2 +2 = 8+2+2 = 12
Уравнение касательной:
y = 65/16 +12*(x-2)