Question

Consider the following functions. f1(x) = x,   f2(x) = x2,   f3(x) = 6x − 4x2 g(x) = c1f1(x)...

Consider the following functions.

f1(x) = x,   f2(x) = x2,   f3(x) = 6x − 4x2

g(x) = c1f1(x) + c2f2(x) + c3f3(x)

Solve for

c1, c2,

and

c3

so that

g(x) = 0

on the interval

(−∞, ∞).

If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.)

{c1, c2, c3} =

  

  
Math   Calculus   
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