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Math Help - Linearization and Differential Application Problem

  1. #1
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    Question Linearization and Differential Application Problem

    This is a really difficult problem we received from out teacher. I have been working for hours and it is worth a lot of extra-points. Which are always nice !!!

    If anyone could help that would be AMAZING!

    A spherical ball is made of 5000 rubber bands. Suppose you want to add enough additional rubber bands to increase the ball's surface area by 3%. Using a linear approximation, estimate the percent change in the ball's volume, then estimate the number of rubber bands needed.

    THANKS EVERYONE!!!!
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  2. #2
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    Quote Originally Posted by JakeyK414 View Post
    This is a really difficult problem we received from out teacher. I have been working for hours and it is worth a lot of extra-points. Which are always nice !!!

    If anyone could help that would be AMAZING!

    A spherical ball is made of 5000 rubber bands. Suppose you want to add enough additional rubber bands to increase the ball's surface area by 3%. Using a linear approximation, estimate the percent change in the ball's volume, then estimate the number of rubber bands needed.

    THANKS EVERYONE!!!!
    If it's worth extra points then I assume it's meant to be your own work and not the work of others ....?
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