MATLAB

3. Computation ( Variation on Ch6-#28) Write a menu-driven program to investigate the constant . Many mathematicians have found ways to approximate . a. Ferguson's Formula: /43 arctan(1/4)+arctan 1/20)+arctan(1/1985) b. Euler found: /6-1/12 + 1/22+1/32+1/42+1/54 c. Plug your any number between -1 to i into the following formula. and the result will be roughly equal to pi TS 2 * (arcsin (V1-x2) + Iarcsin(x)I) Where arcsin refers to the inverse sine in radians. For this project, the menu-driven program might have the following options: Print the result from Ferguson's Formula Print the approximation using Euler's formula, allowing the user to specify how many terms to use. Print the approximation using the formula in (c .Exit the program