Write an expression, involving exponents, to represent shaded area, in square inches, of the diagram. Use the ^ button to represent exponents. (This button can be found on the "6" key of your keyboard. Press shift and 6 at the same time.)

Calculate the area of the shaded region: square units.

What is the product of the radical expression. (7-2square root) (8+2 square root)

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 is negative 3/9 times negative 2/8 ?