Assume that a 2 (y b) 2 1 shown in Figure 4 There is no explicit formula for L, but it is known that L 4bG(k), with G(k) as in Exercise 96 and k 1 a 2 b 2 Use the first three terms of the expansion of Exercise 96 to estimate L when a 4 and b 5 Data From Exercise 96 The function is called an ellipti...

With a 4 and b 5 and the arc length of the elli ...

Assume that a 2+ (y/b) 2 = 1 shown in Figure 4. There is no explicit formula

Question:

Assume that a 2 + (y/b)² = 1 shown in Figure 4. There is no explicit formula for L, but it is known that L = 4bG(k), with G(k) as in Exercise 96 and k = √1 − a²/b². Use the first three terms of the expansion of Exercise 96 to estimate L when a = 4 and b = 5.

y b a