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And here's the simple answer, that you probably expect your students to find... ``` In[21]:= Solve[eqn, c]//TrigToExp//FullSimplify//InputForm Out[21]//InputForm= {{c -> -2/3 + 8/(9*Pi)}} ``` |
You could minimize the distance between a + b + c + d and 1: In[1]:= constr = Rationalize[And@@{-101.81 a - 47.62*b - 36.42*c - 32.51*d == -61.91, -12.48*a -... |
Pretty much, except that Solve uses restricted versions of some of the methods for solving transcendental systems, so it may fail for some transcendental problems that Reduce may solve. |
There is a bug in the code that generates solutions of triangular systems which affects cases that involve finding solutions of quadratics with complex coefficients. Should be fixed in the next release. As a workaround, you can disable the code by... |
The variable x inside the quantifier is local to the quantifier. It is not the same as the global variable x specified in FindInstance. The statement Exists[x, x \[Element] Complexes, x^2 + 1 == 0] does not have any free variables. It is a... |
Hi, In V10 you can compute it using the built-in Volume function: In[1]:= reg=ImplicitRegion[x^2/a^2+y^2/b^2+z^2/c^2 =-h, {z, y, x}]; In[2]:= Volume[reg, Assumptions->a>0 && b>0 && c>0 && h>0] ... |