SOLUTION: Hello! In a study of the winter moth in Novia Scotia, the number of eggs "N", in a female moth depends on her abdominal width "W" (measured in millimeters), this can be approxim

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Question 1113477: Hello!
In a study of the winter moth in Novia Scotia, the number of eggs "N", in a female moth depends on her abdominal width "W" (measured in millimeters), this can be approximated by the model:
N= 14W^3-17W^2-6W+34 where 1.5mm <(or = to) W < (or = to) 3.5mm
1) Find the intervals on which the number of eggs is increasing or decreasing for the given domain.
2) Indicate any extrema that occur.
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
.
1.  Take the derivative of the given function.

    It will give you a quadratic polynomial function of W.


2.  Equate this derivative quadratic function to zero.

    It will give you a quadratic equation.

    Solve this quadratic equation and find its roots.

    These points will be extrema points to your original function.



3.   Where the quadratic function (derivative) is positive, there the original function increases.

    Where the quadratic function (derivative) is negative, there the original function decreases.

These are STANDARD CALCULUS RECOMMENDATIONS AND GUIDLINGS.