Question

F(x)=-2x+1.6, x0=-3, delta x-0.1

Answer 1

Смотрите вложение,там ответ по приращению функции в точке.

Answer 2

To approximate the value of the function F(x) at x0 = -3 using the given information, we can use the following formula:

F(x0 + delta x) ≈ F(x0) + F'(x0) * delta x

where F'(x) is the derivative of F(x).

First, let's calculate the derivative of F(x):

F'(x) = -2

Now, we can substitute the given values into the formula:

F(-3 + 0.1) ≈ F(-3) + F'(-3) * 0.1 = (-2(-3) + 1.6) + (-2) * 0.1 = 6.2 - 0.2 = 6

Therefore, F(-2.9) is approximately equal to 6.