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Show That the Function Has Exactly One Zero in the Given

question 393

Essay

Show that the function has exactly one zero in the given interval.
- f(x)=x3+4x2+1,(,0)f ( x ) = x ^ { 3 } + \frac { 4 } { x ^ { 2 } } + 1 , ( - \infty , 0 )


Definitions:

NH3

Ammonia, a colorless gas with a pungent smell, consisting of nitrogen and hydrogen (NH3).

Diatomic Elements

Molecules composed of only two atoms, of the same or different chemical elements.

Atoms

The basic units of matter and the defining structure of elements, consisting of a nucleus surrounded by electrons.

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