Exercise 1.Find where the graphs of y=3x and y =e2 intersect by finding roots of e2-3x =0 correct to four decimal digits. 2.If a =0.1 and 6=1.0,how many steps of the bisection method are needed to determine the roots with an error of at mostx 10-8? 3.Find a root of the equation 6(e-z)=6+3x2+2x3 between -1 and 1 using the bisection method. Copyright©2011，NA⊙Yin Last Modification:Oct.2011 11 Exercise 1. Find where the graphs of y = 3x and y = e x intersect by finding roots of e x − 3x = 0 correct to four decimal digits. 2. If a = 0.1 and b = 1.0, how many steps of the bisection method are needed to determine the roots with an error of at most 1 2 × 10−8 ? 3. Find a root of the equation 6(e x − x) = 6 + 3x 2 + 2x 3 between −1 and 1 using the bisection method. Copyright c 2011, NAYin Last Modification: Oct. 2011 11