find the equation of the line tangent to the graph of f(x) = (ln x)^3 at x=8. Type your answer in slope-intercept form.

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) = .

If g^-1(x) is the inverse of g (x) which statement must be true

Solve each quadratic equation by factoring and using the zero product property. x^2 + 18x = 9x