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Solve Kinematic Equations with certain no. of unknowns and equations D=sqrt((x1-

ID: 3279666 • Letter: S

Question

 Solve Kinematic Equations with certain no. of unknowns and equations  D=sqrt((x1-x4)^2+(y1-y4)^2+(z1-z4)^2);             L=sqrt((A_x-F_x)^2+(A_y-F_y)^2+(A_z-F_z)^2);             R=sqrt((A_x-E_x)^2+(A_y-E_y)^2+(A_z-E_z)^2);             P=sqrt((B_x-G_x)^2+(B_y-G_y)^2+(B_z-G_z)^2);             Q=sqrt((B_x-H_x)^2+(B_y-H_y)^2+(B_z-H_z)^2);             W=sqrt((A_x-B_x)^2+(A_y-B_y)^2+(A_z-B_z)^2);             V=sqrt((A_x-J_x)^2+(A_y-J_y)^2+(A_z-J_z)^2);             S=sqrt((B_x-J_x)^2+(B_y-J_y)^2+(B_z-J_z)^2); 
             syms a_x a_y a_z b_x b_y b_z j_x j_y j_z r_x r_y r_z;             [solutions_a_x,solutions_a_y,solutions_a_z,solutions_b_x,solutions_b_y 

Explanation / Answer

(cos(x)+y^2-x*sin(y) = 7, [x, y])

The solution Maple comes up with for that is

x = x, y = RootOf(cos(x)+_Z^2-x*sin(_Z)-7)

which is not much more than a rearrangement of form, with all of the hard work tossed in to the root finder. You cannot even tell, for example, that this has 6 roots near x=0 with two of them real-valued -- but out near x=-30 there are 3 real roots.

MuPAD does not appear to be useful at processing RootOf() such as the above.

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