Given the equation y=4/5x+1, identify the slope and the y-intercept of the equation. then graph the equation

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

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) = .

Leslie started last week with $1200 in her checking account. during the week, she wrote the checks below.