The length of an ellipse with axes of length 2a and 2b is given below, where e is the ellipse's eccentricity. The integral in this formula, called an elliptic integral, is nonelementary except when e = 1 or 0. Complete parts (a) and (b) below. √₁²-b² train Length = 4a √1-e² cos ²1 dt, e= a 0 1 2 a. Use the Trapezoidal Rule with n = 10 to estimate the length of the ellipse when a = 3 and e CALL (Round to three decimal places as needed.). b. Use the fact that the absolute value of the second derivative of f(t)=√1-e² cos ²t is less than 1 to find an upper bound for the error in the estimate you obtained in part (a). Els (Round to four decimal places as needed.)

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