Are length of an ellipse The length of an ellipse with axes of length 2a and 2b is Use numerical integration and experiment with different values of n to approximate the length of an ellipse with a =4 and b = 8.

Problem 49EArc length of an ellipse The length of an ellipse with axes of length 2a and 2b is Use numerical integration and experiment with different values of n to approximate the length of an ellipse with a =4 and b = 8.SolutionStep 1In this problem we have to find the arc length of the ellipse, we have to use numerical integration and experiment with different values of n to approximate the length of an ellipse with a =4 and b = 8Consider We perform Simpson’s method for approximation, using , n = 6 and n = 8. Step 2Simpson’s rule states that We have that .Therefore Divide interval [0, into n=6 subintervals of length with the following...