4. (C1) Arizona license plates are designed so there are three letters followed by four
digits. How many different license plates
are possible?
A. 175,760,000
B. 47,174,400
C. 78,524,000
D. 115,316,136

What is the equation of this graphed line? enter your answer in slope-intercept form in the box.

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) = .

What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 24/11?