Данное выражение равно 9.486
1) y = 5 - 3lnx, x₀ = 4
y` = - 3/x
y`(4) = - 3/4
2) y = x³/2 - ln(2x), x₀ = 2
y` = (3x²)/2 - 2/(2x) = (3x²)/2 - 1/x
y`(2) = (3*4)/2 - 1/2 = 11/2 = 5,5
3) f(x) = 6cos(π/3 - 3x) = 6cos(3x - π/3), x₀ = π/6
f1(x) = - 18sin(3x - π/3)
f`(π/6) = - 18sin(3*π/6 - π/3) = - 18sin(π/2 - π/3) = - 18sin(π/6) = - 18*(1/2) = - 9
А) x+3x+4x-5x+7x=10x
при x=34.7
10*34.7=347
г) 0.4(p-8x)-0.7(1.2x+0.8p)+7=0.4p-3.2x-0.84x-0.56p+7= -0.16p-4.04x+7
при x=-0.8 и p=-0.3
-0.16*(-0.3)-4.04*(-0.8)+7=0.048+3.232+7=10.28
д)-1 7/8(8x-8/15)-1.5(2/3x+2/5)= -15/8*8x + 15/8*15/8-15/10*2/3-15/10*2/5= -15x+225/64-x-3/5= -16x+225/64-3/5= -16x+2 293/320
при x= -1.2 :
-16*(-1.2) + 2 293/320=19.2+2 +293/320= 21.2 +293/320=22 30/320=22 3/32
сорян за странные ответы, но я пыталась
Lim(x⇒?) log₀,₅x=+∞
x=0,5^(+∞)=0
lim(x⇒0) (log₀,₅x)=+∞.
Пусть х - задуманное число ⇒
x²-(x-1)(x-2)=16
x²-(x²-3x+2)=16
x²-x²+3x-2=16
3x=18
x=6.