Chapter 15, Problem 20PE

please code in python Write a program to generate the next larger number by rearranging the digits of the given number. Example: given the number 12, by rearranging the numbers you can get the number 21, this is the next largest. Create a function that takes a number and returns the next largest. Use all the mechanisms that we went through earlier (if, loops, lambda expression, etc.)

The "enor function"), is a special function that often occurs in the fields of probability and statistics, looks 10 55 3 ** -0.3 -10 art The definition of erfix) can be found here, but for now that is unimportant. There is a function in the Python matherary that directly evaluates the error function for any single, real-valued number. You can import it with the Ine from math inport erf Suppose we want to find the root of the function fo))+J The Newton-Raphson Method does not behave well with functions of this sort (see the lecture notes), so we will need to use the section Method You are to unite a function relatina, eta, left, right, taterace which computes and returns that root aahe (n) and bets (3) are the constants defining the function for) above,left and right define a range known to contain the root, and tolerance is the maxim error that can be tolerated for the root, defined as in the previous questions Notes: You should use your bisection retider function from the previous…

In python,  Problem Description:Sheldon and Leonard are physicists who are fixated on the BIG BANG theory. In order to exchange secret insights they have devised a code that encodes UPPERCASE words by shifting their letters forward. Shifting a letter by S positions means to go forward S letters in the alphabet. For example, shifting B by S = 3 positions gives E. However, sometimes this makes us go past Z, the last letter of the alphabet. Whenever this happens we wrap around, treating A as the letter that follows Z. For example, shifting Z by S = 2 positions gives B. Sheldon and Leonard’s code depends on a parameter K and also varies depending on the position of each letter in the word. For the letter at position P, they use the shift value of S = 3P + K. For example, here is how ZOOM is encoded when K = 3. The first letter Z has a shift valueof S = 3 × 1 + 3 = 6; it wraps around and becomes the letter F. The second letter, O, hasS = 3 × 2 + 3 = 9 and becomes X. The last two letters…