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The number of people who donated to a certain organization between 1975 and 1992 can be modeled by the equation
D(t)=-10.61t^(3)+208.808t^(2)-168.202t+9775.234 donors, where t is the number of years after 1975. Find the inflection point(s) from t=0 through t=17 , if any exist.

a. There are no inflection points from t=0 through t=17 .

b. There is one inflection point at t=6.56.

c. There are inflection points at t=0 and t=17.

d. There is one inflection point at t=0.15.

e. There are inflection points at t=0, t=0.15,and t=17.

I thought it was B.

  • Calculus -

    An inflection point is a point on a curve at which the second derivative changes sign. You must find point where second derivative = 0

    Go on:

    wolframalpha dot com

    When page be open in rectangle type:

    second derivative of -10.61t^(3)+208.808t^(2)-168.202t+9775.234

    and click option =

    When you see result click option:

    Show steps

    Then in rectangle type:

    solve 417.616-63.66t=0

    Inflection point is:


  • Calculus -

    Thanks, i thought it was B. your awesome.

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