In the figure, QN is the perpendicular bisecter of LM

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Use the x-intercept method to find all real solutions of the equation. x^3-10x^2+27x-18=0

If x + 10 = 70, what is x? a. 40 b. 50 c. 60 d. 70 e. 80

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) = .