Solve the equation:
3x - x + 4 = 4(2x +1)

In part i, the independent variable, the one that is intentionally manipulated, in part ii, the independent variable changes the dependent variable, the one you measure the response in, is the same for parts i and ii. for both parts of the lab, the dependent variable

1mile equals approximately 1.6 kilometers. which best approximates the number of miles in 6 kilometers?

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) = .