Repeat Exercise 2 using four-digit rounding arithmetic. Reference: Exercise 2Add a...

Repeat Exercise 2 using four-digit rounding arithmetic.

Reference: Exercise 2

Add another line to the extrapolation table in Exercise 1 to obtain the approximation N₄(h).

Reference: Exercise 1

Apply the extrapolation process described in Example 1 to determine N3(h), an approximation to for the following functions and stepsizes.

a. f ( x ) = ln x, x₀ = 1.0, h = 0.4 b. f (x) = x + e^x , x₀ = 0.0, h = 0.4

c. f ( x ) = 2^x sin x, x₀ = 1.05, h = 0.4 d. f (x) = x³ cos x, x₀ = 2.3, h = 0.4