Description
The case study:
The following requirements have been gathered to write a program for a ‘Customer Account Bank Management System’:
1) Display a welcome screen, the name of the bank, and the name of the system (see figure 1).
2) Display the main menu options and the statement to select among those options (see figure 1).
3) Open account: Enter the account number, customer name, and account type (Checking or Saving).
4) Deposit Amount: Enter the account number and the amount of money.
5) Withdraw Amount: Enter the account number and then make the account = 0.
6) Display All Accounts information.
7) Display the last transaction: Display Transaction Information by Account No, Date.
8) Close an account by deleting it. The customer should choose which account he/she should close.
9) After each transaction, always ask the customer for further transactions before leaving the system.
Hint: Each task (from points 3 to 9) should be programmed in a separate user-defined function.
![(1) Write a function which takes a list of the coefficients of a polynomial P(x) = a0 + a1x + a2x^2 + ... + anx^n of arbitrary degree n, and a value of x0, and returns P(x0). You can use the function given in lectures, ensuring you understand how it works. (2) Use the function to evaluate (a) P1(x) = 4x^4 + 3x^2 + 2 at x = 2. (b) P2(x) = 241x^4 at x = 2. Are these answers exact? Explain why or why not. (Use a print statement to show the evaluation of your function, and answer the question in a comment.) (3) The power series for the sine function sin(x) is given by sin(x) = Σ (1)^n * (2n+1)! * x^(2n+1) = x - x^3/3! + x^5/5! - x^7/7! + ..., for all x. Use the first four terms in this series in the Horner evaluation function at a suitable value of x to give an approximation of sin(π/4). (4) (a) Use your Horner's method function to evaluate the polynomial (x-1)^3 at the point x = 1.000001. (b) Is this answer correct? (c) Briefly explain why or why not. (5) In week 3 we wrote a function to convert from binary to decimal. This can be adapted to other bases; here we will explore octal (base 8). The efficiency of the function we wrote can be improved using the same principle as Horner's method. Write such a function (horner_octal_to_dec) using the ideas of Horner's method which takes a list whose entries are integers between 0 and 7, where the list represents a base-8 number, and returns the corresponding decimal integer (so the input [2,5,1] returns the integer 169).](https://gotit-pro.com/wp-content/uploads/2023/10/627bbfd5-a1bb-4d60-954c-b70c3537706b.jpg)
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