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Question: Solve a system of non-linear equations with 11 unknowns? Should be easy?

Question:Solve a system of non-linear equations with 11 unknowns? Should be easy?

Matthew Johnson 8 Maple
March 24 2007
0
I am relatively new to Maple, and have been attmpting to solve this for the last few days, and if somebody would be able to help me out that would be great. I am attempting to make the list of following equations smooth (supposed to be for a roller coaster): u(x)=.8x (where x is less than 0) g(x)=kx^3 + lx^2 + mx + n (where is is greater than or equal to 0 but less than 10) f(x)=ax^2 + bx + c (where x is greater than or equal to 10 but less than or equal to 90) h(x)=px^3 + qx^2 + rx + s (where x is less than 90 but greater than or equal to 100) t(x)=-1.6x + 120 (where x is greater than 100) I made the system of equalities as a method of solving these: g(0)=u(0) g'(0)=u'(0) g''(0)=g''(0) g(10)=f(10) g'(10)=f'(10) g''(10)=f''(10) f(90)=h(90) f'(90)=h'(90) f''(90)=h''(90) h(100)=t(100) h'(100)=t'(100) h''(100)=t''(100) -Any help would be very much appreciated!
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