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TylerD

  • one year ago

@ganeshie8

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  1. TylerD
    • one year ago
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    think my teacher might be wrong on something, need to check here. https://www.desmos.com/calculator/mdavtmnba2 for that graph, find the area inside the rose, but outside the circle.

  2. TylerD
    • one year ago
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    teachers solutions say just integrate (4cos(2theta))^2-2^2 from 0 to pi/6 then use symmetry.

  3. TylerD
    • one year ago
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    teacher used this equation here http://tutorial.math.lamar.edu/Classes/CalcII/PolarArea_files/eq0008MP.gif but im not sure if u can do that in this case?

  4. TylerD
    • one year ago
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    |dw:1438082191447:dw|

  5. ganeshie8
    • one year ago
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    You want to find that area and multiply by 8 is it

  6. TylerD
    • one year ago
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    ya

  7. TylerD
    • one year ago
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    |dw:1438082672639:dw| but wouldnt that integral cut off there

  8. ganeshie8
    • one year ago
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    Oh you're right, my bad, lets try again

  9. ganeshie8
    • one year ago
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    \(\large \int\limits_{0}^{\pi/4}\frac{1}{2}(4\cos2\theta)^2~d\theta\) gives below shaded area |dw:1438082959464:dw|

  10. ganeshie8
    • one year ago
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    \(\large \int\limits_{0}^{\pi/6}\frac{1}{2}(2)^2~d\theta\) gives below shaded area |dw:1438083157606:dw|

  11. TylerD
    • one year ago
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    next one would be pi/6 to pi/4 for the cos(2theta)

  12. ganeshie8
    • one year ago
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    \(\large \int\limits_{\pi/6}^{\pi/4}\frac{1}{2}(4\cos2\theta)^2~d\theta\) gives below shaded area |dw:1438083357364:dw|

  13. ganeshie8
    • one year ago
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    does that look okay now ? :)

  14. TylerD
    • one year ago
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    yep.

  15. ganeshie8
    • one year ago
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    lets work this and see if it matches with your teacher's answer

  16. ganeshie8
    • one year ago
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    just want you notice that we're adding and subtracting that last orange piece, which is simply a waste of work... evaluate the integrals and you will see what i mean

  17. ganeshie8
    • one year ago
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    \(\large \int\limits_{0}^{\pi/\color{red}{6}}\frac{1}{2}(4\cos2\theta)^2~d\theta\) gives below shaded area |dw:1438084278198:dw|

  18. TylerD
    • one year ago
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    dang, was hoping to get extra credit for proving it wrong.

  19. ganeshie8
    • one year ago
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    Haha! you had the right idea, pretty sure you will find other opportunities to catch ur teacher's mistakes ;)

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is replying to Can someone tell me what button the professor is hitting...

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