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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.
Use polyval to evaluate the derivative at xder. This will be the % slope of the tangent line, "a" (general form of a line: y = ax + b). % 4. Calculate the intercept, b, of t
Algorithm for appex subfunction: The algorithm for appex subfunction is as shown: Receives x & n as the input arguments. Initializes a variable for running sum of t
Forward substitution: The Forward substitution (done methodically by first getting a 0 in the a 21 place, and then a 31 , and lastly a 32 ): For the Gauss technique,
Illustration of Matrix solutions: For illustration, consider the three equations below with 3unknowns x 1 ,x 2 , and x 3 : We can write this in the form Ax = b here A
Inverse of square matrix: The inverse is, hence the result of multiplying the scalar 1/D by each and every element in the preceding matrix. Note that this is not the matrix A,
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 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
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
Binary Search: The binary search supposes that the vector has been sorted first. The algorithm is just similar to the way it works whenever looking for a name in a phone direc
Vector operations: As vectors are special cases of matrices, the matrix operations elaborated (addition, subtraction, multiplication, scalar multiplication, transpose) work on
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