Analysis of Bisection Method

(See attached file for full problem description with all equations) --- Let and . Here , with , denotes the successive intervals that arise in the bisection method when it is applied to a continuous function f. a. Show that . b. Show that . c. Is it true that Explain. d. Show that . e. Show that for all n and m, . ---

Assessing Borrowing Decisions Simulation

Help to understand questions that reflects the above simulation

Newton's Method Two- Part Question

(See attached file for full problem description with proper symbols) --- A) Let Newton's method be used on where q > 0. Show that if has k correct digits after the decimal place, then will have at least correct digits after the decimal place, provided that and . B) Suppose that r is a double zero of the function f. Thus . Show that if is continuous then in Newton's method we shall have which implies linear convergence. ---

Numerical Analysis Problem/Secan Method

(See attached file for full problem description with proper symbols) --- A) Consider a variation of Newton's method in which only one derivative is needed; that is . Find C and s such that . B) Find the conditions on to ensure that the iteration will converge linearly ( ) to a zero of f if started near the zero. ---

PREPARATION of a balalnce sheet

I need to prepare a balance sheet with some of the numbers are missing. I am not sure how to find some of the numbers. I ned to find the total stock holder equity, the total liabilities, inventories, and then put it into a correct form so I would like to see some samples of how this could be accomplished.