exercises exercise while loop with errors assume some program has been written for the task of adding all integers some_number while some_number + print some_number aidentify the errors in the program by just reading the code and simulating the program by hand bwrite new version of the program with errors corrected run this program and confirm that it gives the correct output filenamewhile_loop_errors py exercise area of rectangle versus circle consider one circle and one rectangle the circle has radius : the rectangle has sides and bbut only is known from the outset let : and write program that uses while loop to find the largest possible integer that gives rectangle area smaller thanbut as close as possible tothe area of the circle run the program and confirm that it gives the right answer (which is filenamearea_rectangle_vs_circle py exercise find crossing points of two graphs consider two functions xd and xd on the interval oe write program thatby trial and errorfinds approximately for which values of the two graphs crossi xd xdo this by considering equally distributed points on the intervalat each point checking whether jf / / where is some small number let and be user input to the program and let the result be printed to screen run your program with and : explain the output from the program finallytry also other values of keeping the value of fixed explain your observations filenamecrossing_ _graphs py exercise sort array with numbers the import statement from random import will give access to function uniform that may be used to draw (pseudo-)random numbers from uniform distribution between two numbers (inclusiveand (inclusivefor examplewriting uniform( , makes float value larger thanor equal to and smaller thanor equal to write script that generates an array of random numbers between and the program should then sort the array so that numbers appear in increasing order let the program make formatted print of the array to the screen both before and after sorting the printouts should appear on the screen so that comparison is made easy confirm that the array has been sorted correctly filenamesort_numbers py