# Question:Warning, Solutions may have been lost - HELP!!!!

## Question:Warning, Solutions may have been lost - HELP!!!!

Maple

I'm trying to do this project but I keep getting an error message...does anyone have any ideas???

> f(1) := proc (x) options operator, arrow; 3*x end proc;
x -> 3 x
D( (1) );
3
df1:=(2);
3
> f(2) := proc (x) options operator, arrow; a*x^3+b*x^2+c*x+d end proc;
3      2
x -> a x  + b x  + c x + d
D( (4) );

2
x -> 3 a x  + 2 b x + c
df2:=(5);

2
x -> 3 a x  + 2 b x + c
> f(3) := proc (x) options operator, arrow; e*x^3+f*x^2+g*x+h end proc;
3      2
x -> e x  + f x  + g x + h
D( (7) );

2
x -> 3 e x  + 2 f x + g
df3:=(8);

2
x -> 3 e x  + 2 f x + g
> f(4) := proc (x) options operator, arrow; i*x^3+b*x^2+k*x+l end proc;
3      2
x -> i x  + b x  + k x + l
D( (10) );

2
x -> 3 i x  + 2 b x + k
df4:=(11);

2
x -> 3 i x  + 2 b x + k
> f(5) := proc (x) options operator, arrow; m*x^3+n*x^2+o*x+p end proc;
3      2
x -> m x  + n x  + o x + p
D( (13) );

2
x -> 3 m x  + 2 n x + o
df5:=(14);

2
x -> 3 m x  + 2 n x + o
> F := proc (x) options operator, arrow; piecewise(x <= 50, f1(x), 50 < x and x < 175, f2(x), 175 <= x and x <= 300, f3(x), 300 < x and x < 425, f4(x), 425 <= x and x <= 500, f5(x)) end proc;
x -> piecewise(x <= 50, f1(x), 50 < x and x < 175, f2(x),

175 <= x and x <= 300, f3(x), 300 < x and x < 425, f4(x),

425 <= x and x <= 500, f5(x))
> F(x);
/                                     3      2
piecewise\x <= 50, 3 x, 50 < x and x < 175, a x  + b x  + c x + d,

3      2
175 <= x and x <= 300, e x  + f x  + g x + h, 300 < x and x < 425,

3      2                                      3      2          \
i x  + b x  + k x + l, 425 <= x and x <= 500, m x  + n x  + o x + p/
> eqn1 := f1(50) = f2(50);
150 = 125000 a + 2500 b + 50 c + d
> eqn2 := f2(175) = f3(175);
5359375 a + 30625 b + 175 c + d = 5359375 e + 30625 f + 175 g + h
> eqn3 := f3(300) = f4(300);
27000000 e + 90000 f + 300 g + h = 27000000 i + 90000 b + 300 k + l
> eqn4 := f4(425) = f5(425);
76765625 i + 180625 b + 425 k + l = 76765625 m + 180625 n + 425 o + p
> eqn5 := df1(50) = df2(50);
7500 m + 100 n + o = 7500 a + 100 b + c
> eqn6 := df2(175) = df3(175);
91875 a + 350 b + c = 91875 e + 350 f + g
> eqn7 := df3(300) = df4(300);
270000 e + 600 f + g = 270000 i + 600 b + k
> eqn8 := df4(425) = df5(425);
541875 i + 850 b + k = 541875 m + 850 n + o
> eqn9 := f2(125) = 220;
1953125 a + 15625 b + 125 c + d = 220
> eqn10 := f3(225) = 65;
11390625 e + 50625 f + 225 g + h = 65
> eqn11 := f4(345) = 150;
41063625 i + 119025 b + 345 k + l = 150
> eqn12 := f5(425) = 60;
76765625 m + 180625 n + 425 o + p = 60
> eqn13 := df3(225) = 0;
151875 e + 450 f + g = 0
> eqn14 := df4(345) = 0;
357075 i + 690 b + k = 0
> eqn15 := f5(500) = 0;
125000000 m + 250000 n + 500 o + p = 0
> eqn16 := df5(500) = 0;
750000 m + 1000 n + o = 0
> values := solve({eqn1, eqn10, eqn11, eqn12, eqn13, eqn14, eqn15, eqn16, eqn2, eqn3, eqn4, eqn5, eqn6, eqn7, eqn8, eqn9}, {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p});
Warning, solutions may have been lost

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