(1) Problem 5.2: Perform 3 iterations of the Bisection Method by hand, using the initial bracket specified in the book. Specify the approximate root for each iteration. 5.2 Determine the real root of f(x) = 5x³- 5x² + 6x - 2: (a) Graphically. (b) Using bisection to locate the root. Employ initial guesses of x = 0 and x₁ = 1 and iterate until the estimated error ε falls below a level of ε, = 10%.

x^2-5x^(1/3)+1=0 Has a root between 2 and 2.5 use bisection method to three iterations by hand.

b) By using Doolittle's or Cholesky Decomposition method X1 + x2 + x3 = 1 4x1 + 3x2 – x3 = 6 3x1 + 5x2 + 3x3 = 4

.During the General Enhanced Community Quarantine, we were mandated to stay and work from home. We do a lot of walking as we do a lot of household chores at home. Applying vector addition, identify five displacements inside your house then calculate your total displacement. Use component method in finding your resultant displacement. Show your complete solution.