📘 numerical analysis

1. The problem is to find the root of $f(x) = x^2 - 3$ on the interval $[1, 2]$ using the bisection method with accuracy $\varepsilon = 0.01$. 2. Initial values are $a = 1$, $b = 2

1. Find the root of $f(x) = x^3 - 2x + 2$ using three methods with initial guess $x_0 = 0$ and tolerance $10^{-6}$. **Fixed Point Iteration:**

1. The improved Euler method, also known as Heun's method, is a numerical technique to solve ordinary differential equations (ODEs) using an improved slope estimate. 2. Given an in

1. Problem (a): Calculate the price of each item in 2024. Since the prices for 2024 are not provided explicitly, we can assume the question refers to finding prices or using some r