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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.
Vector operations: As vectors are special cases of matrices, the matrix operations elaborated (addition, subtraction, multiplication, scalar multiplication, transpose) work on
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
str2num function - String: The function str2num does the opposite; it takes the string in which a number is stored and converts it to the type double: >> num = str2num('123.
Creating Cell arrays: There are many ways to create cell arrays. For illustration, we will create a cell array in which one element will store an integer, one element store ch
Built-in colormaps: The MATLAB has numerous built-in colormaps which are named; the reference page on colormap shows them. Calling the function colormap without passing any ar
Example of Gauss-jordan: For a 2×2 system, this would results and for a 3 × 3 system, Note that the resulting diagonal form does not involve the right-most col
Help command: The help command is used with the script rectarea, the function readlenwid, and the major function printrectarea. To see the first comment in the subfunction, as
Example of Menu driven modular program: As an illustration of such a menu-driven program, we will write a program to discover the constant e. The constant e, known as the n
Algorithm for expfn function: The algorithm for expfn function is as shown: receives the value of x as the input argument. Prints the value of exp(x). assigns a
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)
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