Maple 9 Learning Guide - Maplesoft

228 • Chapter 7: Solving Calculus Problemscritical :={0, 0.07333000221 (2 − π) 6 , −0.01542298119 (4 − π) 6 }At the last boundary, ξ = x, the error is> B := eval( err, xi=x );B := 1720 (−sin(x) esin(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) 6Again, find where the derivative is zero.> B1 := diff( B, x );B1 := 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.