## Calculus (3rd Edition)

(a) Three roots: $x=0,\ x=1.161,\ \ x=1.509~(largest)$ (b) One root: $x=0$
(a) We are given $$f(x)=1.8 x^{4}-x^{5}-x$$ We plot the function below and estimate the roots as: $$x=0,\ x=1.161,\ \ x=1.509$$ Thus we have three roots and $x=1.509$ is the largest. (b) We are given $$g(x)=1.7 x^{4}-x^{5}-x$$ We plot the function below and estimate the roots as: $$x=0$$ Thus we have one root and $x=0$ is the largest.