USING MAT LAB CODE: The value of pi can be estimated by: Squareroot 6 (sigma^inf
ID: 3776660 • Letter: U
Question
USING MAT LAB CODE: The value of pi can be estimated by: Squareroot 6 (sigma^infinity_n = 1/n^2) Write a program(using a loop) that determines the expression. Run the program with n = 100, n = 10000, and n = 1000000. Compare the result with pi. (Use format long.) Growth data of a sunflower plant is given in the following table: The data can be modeled with a function in the form H = C/(1 + Ae^-Bt) (logistic equation), where H is the height, C is a maximum value for H, A and B are constants, and t is the number of weeks. By using the method described in Section 8.2.2, and assuming that C = 254 cm, determine the constants A and B such that the function best fit the data. Use the function to estimate the height in week 6. In one figure, plot the function and the data points.Explanation / Answer
THE MATLAB FUNCTION calculatePI.m
function [PI_VAL ] = calculatePI(N)
%CALCULATEPI is a function used to extimate the value of pi using the
%fomula sqrt(6*sum(1/n^2)), n = 1 to N.
format long
PI_VAL = 0; % clearing the variable PI_VAL
for n =1:N
PI_VAL = PI_VAL + 1/(n^2);
end
PI_VAL = sqrt(6*PI_VAL);
end
MATLAB CALLING THE FUNCTION calculatePI.m AND OUTPUTS
>> PI=calculatePI(100)
PI =
3.132076531809105
>> PI=calculatePI(10000)
PI =
3.141497163947215
>> PI=calculatePI(1000000)
PI =
3.141591698660509
>> pi
ans =
3.141592653589793
>>
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.