The campsite shop sells boxes of funshine cereal. the base of each box is a 180 mm x 60 mm rectangle. the shelf where the boxes are displayed is a 65 cm x 35 cm rectangle. work out the maximum number of boxes that will fit on the shelf.

49xy +34y - 72z. determine the degree of the polynomial

Atriangle with all sides of equal length is a/an triangle. a. right b. scalene c. equilateral d. isosceles

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) = .