. P(x) is a polynomial.
P(x) divided by (x + 7) has a remainder of 5.
P(x) divided by (3 + 3) has a remainder of -4.
P(x) divided by (2 - 3) has a remainder of 6.
P(2) divided by (x - 7) has a remainder of 9.
Find the following values of P(x).
P(-3) =
P(7) =

Two corresponding sides of two similar triangles are 3cm and 5cm. the area of the first triangle is 12cm^2. what is the area of the second triangle?

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) = .

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