Sub seriesformula()
' write x value in A2 cell of excel sheet
Range("A2").Select
x = ActiveCell.Value
Sum = 0
For k = 1 To 50
Sum = Sum + (1 / k) * (((x - 1) / x)) ^ k
Next k
' you can see your result in B2 cell of excel sheet
Range("B2").Select
ActiveCell.Value = Sum
End Sub
' to cehck result just write =Ln(x) in any cell of excel
sheet
' here x is your input value
The natural logarithm can be expressed as a Taylor series of the following form 1. Write a VBA pr...
Problem #5 Equation 1 is the infinite Taylor series expansion of ln(1 + x), where In is the natural logarithm: 5 (-1)k+1 Eqn. 1 Σ(-1)k+1 k In(1 + x) Eqn. 2 Equation 2 is the finite version that calculates an approximation for ln(1 + x). Instead of letting k go to infinity, it stops summing once k reaches some fixed value N. Task Develop a program that can compute ln(1 +x). Have it first ask the user to enter x...
Write VBA functions to calculate sin (x) using the Maclaurin arcsine series, and compare the values for sin-1(x) from your program to those given by the Excel spreadsheet function ASIN(x). The Maclaurin arcsine expansion is given by x 3x 6 40 (2n)! sin1(x)-2((2n+1) Note: This function by definition is only defined for-1 SxS1. When you write the code for calculating it, you will need to include code that assigns a value to it that reflects it is undefined for values...
Problem #5 Equation 1 is the infinite Taylor series expansion of ln(1 + x), where In is the natural logarithm: 5 (-1)k+1 Eqn. 1 Σ(-1)k+1 k In(1 + x) Eqn. 2 Equation 2 is the finite version that calculates an approximation for ln(1 + x). Instead of letting k go to infinity, it stops summing once k reaches some fixed value N. Task Develop a program that can compute ln(1 +x). Have it first ask the user to enter x...
Problem 5 xx The Taylor series expansion for sin(x) is sin(x) = x -H + E-E+ = o E- (-1) . 2n +1 no (2n+1)! !57 where x is in radians. Write a MATLAB program that determines sin(x) using the Taylor series expansion. The program asks the user to type a value for an angle in degrees. Then the program uses a while loop for adding the terms of the Taylor series. If an n is the nth term in...
The following function computes by summing the Taylor series expansion to n terms. Write a program to print a table of using both this function and the exp() function from the math library, for x = 0 to 1 in steps of 0.1. The program should ask the user what value of n to use. (PLEASE WRITE IN PYTHON) def taylor(x, n): sum = 1 term = 1 for i in range(1, n): term = term * x / i...
can someone please help me out with this? i have to write this in vba excel. Question 2: (40 Pointsy) The total cnerey, E. ofa movins hint i comual to energy, E, of a moving object is equal to the sum of its kinetic and potential energieS: where m is the mass (in kg) v is the velocity (in m/s) h is the height of the object (in m) g is the acceleration due to gravity (9.81 m/s') 5 m/s...
MATLAB ONLY!! PLEASE WRITE IN COMPUTER SO I CAN COPY PASTE!!! ANSWER COMPLETELY, USE FOR LOOPS. THE PROGRAM TO BE MODIFIED IS THE NEXT ONE: clc clear % Approximate the value of e ^ x using the Taylor Series x = input( 'Enter the value of x for e^x. x = ' ); t = input( 'Enter the amount of desired terms. t = ' ); i = 1; e_taylor = 0; % initializing the variable for the accumulator while...
1) Write and test a well-commented Python function, called “myexp” that approximates the value for the function ?(?) = ? ? . This function can be approximated by a Taylor series ? ? ≈ ∑ ? ? ?! ∞ ?=0 , and recall that the factorial function is given by the recursive relationship ?! = ? (? − 1)!, ?ℎ??? ? ∈ ??? ≥ 0, ??? 0! = 1 1. You will need to write your own factorial function, and...
C Programming Language The operation of multiplication for positive integers can be expressed as: A.B=2 1 A for (A+[A.(B-1)] B=1 for B>1 Task 1 (for 1 point) is to write a program that will read and print on the screen the values of two integers (A and B) given by user as command line parameters. Task 2 (for 1 point) is to write a program that will calculate the result of the multiplication of two integers. It should print...
In MATLAB The value of cos(x) can be approximated using a Maclaurin series + +... cos(x)=1-1 2! 4! 6! Which can be expressed compactly as cos(x) = {(-1)+7 (2(k-1))! 00 2(k-1) k-1 Write Matlab code using a while loop that calculates cos(2) with 5 terms of Maclaurin series. Compare the value with the one calculated with a built-in function cos (2) in Matlab. The following is an expected output from your code: Using the Maclaurin series cos( 2.0) with 5...