Задача 56711 Решить задачи...

5ff1ae27960c3c35933d939b

03.01.2021 15:09:22

Решить задачи

5f3ea7e3faf909182968ddd9

03.01.2021 15:21:39

★

[r]y=f(x_(o))+ f `(x_(o))(x-x_o) -уравнение касательной[/r]

f`(x)=((x^2/4)-x+5)`=(2x/4)-1=(x/2)-1


[red]в точке x_(o)=4 [/red]

f (4)=(4^2/4)-4+5=5

f`(4)=(4/2)-1=1


y=5 +1*(x-4)

[b]y=x-1[/b]



v(t)=s`(t)=(-3cos((t/4)+(π/12))+10)`=-3*(-sin(((t/4)+(π/12))*((t/4)+(π/12))`+(10)`=3sin((t/4)+(π/12))*(1/4)=(3/4)sin((t/4)+(π/12))

v(π/3)=(3/4)sin((π/3*4)+(π/12))=(3/4)sin(π/6)=(3/4)*(1/2)=[b](3/8)[/b]