Sean los intervalos M = {x / x ∈ R, –5 < x < 2}, N = {x / x ∈ R, –2 ≤ x ≤ 4} y
P = {x / x ∈ R, –1 < x ≤ 3}. Representa gráficamente y calcula las siguientes operaciones:

1. (M ∩ P) ∪ ( N ∩ P) 2. M ∩ N ∪ P

4 P ∪ N ∩ M 3. P ∪ (M ∩ N)

Which of the following is the true for f(x) = 5cos

Plz.yesterday, the snow was 2 feet deep in front of archie’s house. today, the snow depth dropped to 1.6 feet because the day is so warm. what is the percent change in the depth of the snow?

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) = .