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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.
function numden: The function numden will return individually the numerator & denominator of a symbolic expression: >> sym(1/3 + 1/2) ans = 5/6 >> [n, d] =
Matrix solutions to systems of the linear algebraic equations: The linear algebraic equation is an equation of the form a 1 x 1 + a 2 x 2 + a 3 x 3 . . . . a n x n
Sort algorithm for Sorting vectors of structures: Note that only the price field is compared in the sort algorithm, but the whole structure is replaced. That is therefore each
Symbolic Variables and expressions: The MATLAB has a type known as sym for the symbolic variables and expressions; these work with strings. The illustration, to generate a sym
Function fieldnames - structure functions: The function fieldnames will return the names of the fields which are contained in the structure variable. >> pack_fields = fiel
Example of Plotting from a Function: For illustration, the function can be called as shown below: >> y = [1:2:9].^3 y = 1 27 125 343 729
Replacement : Replace a row by adding it to (or subtract from it) a multiple of the other row. For a given row ri, this is written as ri - srj → ri Note that when r
Illustration of gauss-jordan: Here's an illustration of performing such substitutions by using MATLAB >> a = [1 3 0; 2 1 3; 4 2 3] a = 1 3 0 2 1 3 4 2
Sorting Vectors of structures: Whenever working with vector of structures, it is very common to sort based on a particular field within the structures. For illustration, recal
Simplification Functions: There are numerous functions which work with expressions, and simplify the terms. Not all the expressions can be simplified, but the simplify functio
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