The graph shows the volume of ice cubes versus temperature in degrees Celsius. Which statement is true?

A. Temperature is the response variable.

B. The correlation coefficient is close to zero.

C. The data show a negative linear relationship.

D. Temperature is weakly correlated to the volume of ice cubes.

Use the graph of the sine function y=2sinθ shown below

What is x and y intercepts for y=x+7

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) = .