A cactus casts a Shadow that is 15 ft long . A gate nearby casts a shadow that is 5 ft long at the same Moment . If the height of a gate is 3 ft long, what is the height of the cactus??

The parabola opens: y=√x-4 (principal square root) up down right left

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) = .

Acompany made a profit of 75000 over a period of 6 years on an initial investment of 15000 what is the annual roi