Question

F(x)=2x(в квадрате)-3 xo=3 delta x -0,2

Answer 1

5/6+5/18-(3целых7/8-2целых13/15)

Answer 2

To use the given function and values, we can follow these steps:

1. Substitute the value of xo into the function: F(3) = 2(3)^2 - 3 = 15

2. Calculate the value of x1 by adding delta x to xo: x1 = xo + delta x = 3 + (-0.2) = 2.8

3. Substitute x1 into the function to find F(x1): F(2.8) = 2(2.8)^2 - 3 = 14.24

4. Calculate the average rate of change: average rate of change = (F(x1) - F(xo)) / (x1 - xo) = (14.24 - 15) / (2.8 - 3) = -0.76 / -0.2 = 3.8

Therefore, the average rate of change of the function F(x) over the interval [3, 2.8] is 3.8.