powers of the variable. The Maclaurin series expansion for sin(x) is given by the following formula that is valid for all real values of x such that x is in radians (Note that: radians(x) = x X #/180): sin(x) = 3! 5! Implement a Java program to compute the value of Maclaurin series expansion for sin(x) where x is a nonnegative real value according to the following: a. Write a java method named Factorial that takes as an argument an integer value n and returns the mathematical factorial n! of n as a long value such that: n! = nx (n- 1) x (n – 2) x . x 2 x 1 b. In the main method: i. Ask the user to enter the value of the angle x to be calculate in the Maclaurin series expansion for sin(x) as given above. x Should be entered in degrees, i.e., 0° s xs 360° and then converted into radians using the formula: (radians(x) = x x 1/180). ii. Ask the user to enter the number of terms to be calculated in the Maclaurin series expansion for sin(x). i. Print the calculated sum of the first n number of terms to be calculated in the Maclaurin series expansion for sin(x) rounded to 6 decimal places. iv. Print the difference between the calculated sum of the first n number of terms to be calculated in the Maclaurin series expansion for sin(x) and the value using Math.sin(x) rounded to 6 decimal places. Sample run: Enter an angle in degrees: 30 Enter number of terms of maclaurin series: 5 Sum of first 5 terms of Maclaurin sries of sin (30) is 0.500000. Math.sin (5) is 0.500000. Math.sin (30) Maclaurin series - 0.000000.
powers of the variable. The Maclaurin series expansion for sin(x) is given by the following formula that is valid for all real values of x such that x is in radians (Note that: radians(x) = x X #/180): sin(x) = 3! 5! Implement a Java program to compute the value of Maclaurin series expansion for sin(x) where x is a nonnegative real value according to the following: a. Write a java method named Factorial that takes as an argument an integer value n and returns the mathematical factorial n! of n as a long value such that: n! = nx (n- 1) x (n – 2) x . x 2 x 1 b. In the main method: i. Ask the user to enter the value of the angle x to be calculate in the Maclaurin series expansion for sin(x) as given above. x Should be entered in degrees, i.e., 0° s xs 360° and then converted into radians using the formula: (radians(x) = x x 1/180). ii. Ask the user to enter the number of terms to be calculated in the Maclaurin series expansion for sin(x). i. Print the calculated sum of the first n number of terms to be calculated in the Maclaurin series expansion for sin(x) rounded to 6 decimal places. iv. Print the difference between the calculated sum of the first n number of terms to be calculated in the Maclaurin series expansion for sin(x) and the value using Math.sin(x) rounded to 6 decimal places. Sample run: Enter an angle in degrees: 30 Enter number of terms of maclaurin series: 5 Sum of first 5 terms of Maclaurin sries of sin (30) is 0.500000. Math.sin (5) is 0.500000. Math.sin (30) Maclaurin series - 0.000000.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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