What are the square roots of 196? a. 13 and –13 b. 14 and –14 c. 16 and –16 d. 98 and –98

If you apply the changes below to the absolute value parent function, f(x)=\x\, which of these is the equation of the new function? shift 2 units to the left shift 3 units down a. g(x)=\x-3\-2 b. g(x)= \x-2\-3 c. g(x)= \x+3\-2 d. g(x)= \x+2\-3

Ben is three times as old as samantha, who is two years older than half of michel's age. if michel is 12. how old is ben?

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) = .