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Write a program to examine exponential function:
We will write a program to examine the value of e and the exponential function. It will be a menu-driven. The menu options will be:
Print a description of e.
Prompt the user for a value of n, and then find an estimated value for e by using the expression (1 + 1/n) n
Prompt the user for value for x. Now print the value of exp(x) by using the built-in function. Find an approximate value for ex by using the Maclaurin series just given.
Exit the program.
Algorithm for the function e: The algorithm for the function eoption is as shown: Use the menu function to show the 4 choices. Error-check (an error would take place
Expanding a function: The expand function will multiply out terms, and factor will do the opposite: >> expand((x+2)*(x-1)) ans = x^2 x-2 >> factor(ans)
Evaluating a string: The function eval is used to compute a string as a function. For illustration, below is the string 'plot(x)'is interpreted to be a call to plot the functi
Illustration of symbolic variable: When, on the other hand, z is a symbolic variable to start with, quotes are not required around the expression, and the words are automatica
Splits a string : The strtok function splits a string into pieces; it can be called in many ways. The function receives one string as an input argument. It appears for the fir
Preallocating a Vector: There are necessarily two programming techniques that can be used to simulate the cumsum function. One technique is to begin with an empty vector and c
readlenwid function: function call: [length, width] = readlenwid; function header: function [l,w] = readlenwid In the function call, not any argument is passed; henc
Illustration sorting vectors of structures: This function sorts the structures depend only on the price field. A more common function is shown next, that receives a string whi
Subfunctions: Though, it is possible to have more than one function in a given M-file. For illustration, if one function calls the other, the first function would be the prima
Illustration of Preallocating a Vector: Illustration of calling the function: >> myveccumsum([5 9 4]) ans = 5 14 18 At the first time in the loop, outvec wil
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