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Sara is writing a program to input her monthly phone bills and output the month name and amount for the month with maximum amount. she has defined an array to hold the month names. complete the pseudocode program. [6] # program to output maximum month's phone bill monthname ["january", "february", "march", "april", "may", "june", "july", "august", "september", "october", "november", "december"] # define an array to hold the phone bills for each month

1. package newton’s method for approximating square roots (case study 3.6) in a function named newton. this function expects the input number as an argument and returns the estimate of its square root. the script should also include a main function that allows the user to compute square roots of inputs until she presses the enter/return key. 2. convert newton’s method for approximating square roots in project 1 to a recursive function named newton. (hint: the estimate of the square root should be passed as a second argument to the function.) 3. elena complains that the recursive newton function in project 2 includes an extra argument for the estimate. the function’s users should not have to provide this value, which is always the same, when they call this function. modify the definition of the function so that it uses a keyword parameter with the appropriate default value for this argument, and call the function without a second argument to demonstrate that it solves this problem. 4. restructure newton’s method (case study 3.6) by decomposing it into three cooperating functions. the newton function can use either the recursive strategy of project 1 or the iterative strategy of case study 3.6. the task of testing for the limit is assigned to a function named limitreached, whereas the task of computing a new approximation is assigned to a function named improveestimate. each function expects the relevant arguments and returns an appropriate value. 5. a list is sorted in ascending order if it is empty or each item except the last one is less than or equal to its successor. define a predicate issorted that expects a list as an argument and returns true if the list is sorted, or returns false otherwise. (hint: for a list of length 2 or greater, loop through the list and compare pairs of items, from left to right, and return false if the first item in a pair is greater.)

Petrică, tânăr licean în clasa a ix-a, a primit în dar de la părinţii săi un cont bancar pentru micile sale cheltuieli curente. el este pasionat de internet banking şi îşi verifică cu grijă toate tranzacţiile efectuate. pentru creşterea securităţii tranzacţiilor online, banca îi furnizează lui petrică un număr pe care el va trebui să îl modifice, obţinând un număr tan – număr de autentificare a tranzacţiei (transaction authentication number). regula de obţinere a numărului tan este următoarea: se formează cel mai mic număr par din toate cifrele numărului furnizat de bancă. cerinţă cunoscând numărul n furnizat de bancă, să se determine numărul tan obţinut de petrică. date de intrare fişierul tan.in conţine pe prima linie numărul natural n cu semnificaţia din enunţ. date de ieşire fişierul de ieşire tan.out va conţine o singură linie pe care va fi scris numărul tan cerut. restricţii • 0 < n < 18*1018 • n are cel puţin o cifră pară • numărul tan obţinut nu poate conţine zerouri nesemnificative