Learning Guide Learning Guide

6.1 Introductory Calculus • 219B1 := 1720 (−cos(x) esin(x) − 63 sin(x) cos(x) e sin(x)+ 91 cos(x) 3 e sin(x) − 210 sin(x) 2 cos(x) e sin(x)+ 245 sin(x) cos(x) 3 e sin(x) − 35 cos(x) 5 e sin(x)− 105 sin(x) 3 cos(x) e sin(x) + 105 sin(x) 2 cos(x) 3 e sin(x)− 21 sin(x) cos(x) 5 e sin(x) + cos(x) 7 e sin(x) )(x − π) 6 + 1120 (−sin(x) e sin(x) + 16 cos(x) 2 e sin(x) − 15 sin(x) 2 e sin(x)+ 75 sin(x) cos(x) 2 e sin(x) − 20 cos(x) 4 e sin(x) − 15 sin(x) 3 e sin(x)+ 45 sin(x) 2 cos(x) 2 e sin(x) − 15 sin(x) cos(x) 4 e sin(x)+ cos(x) 6 e sin(x) )(x − π) 5> sol := { solve( B1=0, x ) };sol := {π}Check the solution by plotting.> plot( B1, x=2..4 );0.80.60.40.202.2 2.4 2.6 2.8 3 3.2 3.4 3.6 3.8 4xThe plot of B1 indicates that a solution between 2.1 and 2.3 exists.The solve command cannot find that solution, so you must resort tonumerical methods again.> fsolve( B1=0, x, 2.1..2.3 );2.180293062Add the numerical solution to the set of symbolic solutions.