Question 12 (5 points)
John studies wild rabbits for his job. On a certain day, he tracked one rabbit for 8 hours and found that it traveled a total distance of 4 miles. At what average rate did the rabbit travel?

Question 12 options:

2 miles per hour

14hours per mile

32 miles per hour

12miles per hour

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .