Let a, b, and c be real numbers where a=b=C=0. Which of the following functions could represent the graph below? f(x) = x2(x-a)2(x-b)4(x-c)

f(x) = x2(x=a) [x - )(x - 2)2

f(x) = x^x-a)(x - 5y3(x - c)3

f(x) = (x - a)2(x - b)(x -c) 6

Can someone check my answer? you : )

In the 30-60-90 triangle below side s has a length of and side r has a length

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) = .