Calculus Problem: Boat propeller/matrix/derivatives

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The discussion revolves around solving a calculus problem involving a boat propeller using matrices and derivatives. The user, ITF, is struggling to obtain whole number answers as suggested by their professor, instead consistently arriving at decimal values. They have shared their work, specifically a scan labeled "scan02," which includes their calculations for the derivatives and matrix setup. ITF seeks assistance in identifying errors in their approach to achieve the expected whole number results.

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Here's the problem, attached to the post. I've tried using matrices to solve it but I'm not sure if the answers I am getting are correct. The professor hinted that the answers should be whole numbers, but I keep getting decimals. Any help??

I've uploaded a scan of my work, scan02 is where I plugged in for the X's and found the derivatives. I then put them into a matrix.

Thanks,
ITF
 

Attachments

  • propeller1.jpg
    propeller1.jpg
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  • propeller2.jpg
    propeller2.jpg
    20.9 KB · Views: 417
  • scan0002.jpg
    scan0002.jpg
    22.2 KB · Views: 464
Last edited:
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ITF said:
Here's the problem, attached to the post. I've tried using matrices to solve it but I'm not sure if the answers I am getting are correct. The professor hinted that the answers should be whole numbers, but I keep getting decimals. Any help??

I've uploaded a scan of my work, scan02 is where I plugged in for the X's and found the derivatives. I then put them into a matrix.

Thanks,
ITF

Sorry, I have to reply in order to attach my matrix working. The limit is three files. Anyhoo, :smile: my work isn't exactly the "prettiest" but at least I hope it's clean enough for a Helper to show me where I went wrong. It also shows the answers I got for each variable, (A, B, C, D,..etc.)

Thanks again!
ITF
 

Attachments

  • scan0003.jpg
    scan0003.jpg
    26.5 KB · Views: 444

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