Recent content by ArmChairPhysicist

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    What is parametric representation and how is it used

    Ive been working through calculus this year and will be into next year, and as nearly every time I open my calculus book I have found something new and mysterious. This time it's something called parametric representation. It isn't clearly explained what this means or how you go about...
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    Light between 2 towers reflecting off a lake

    Thank you so much for your help and time.
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    Light between 2 towers reflecting off a lake

    Cancel out the denominator, then square both sides?
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    Light between 2 towers reflecting off a lake

    Then when I reduced the fractions in my equation 282-2x became 141-x unless I messed up somewhere
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    Light between 2 towers reflecting off a lake

    The 141 came from me taking the derivative of 21^2+(120-x)2 2 • 21 ^2-1 = 42 (120-x)^2 = 2(120-X)^1 correct?
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    Light between 2 towers reflecting off a lake

    This is my current equation, and is what I'm attempting to simplify. I know that my end goal is to isolate X so I can solve, but I need to eliminate those radicals, and I can't figure out how. Any ideas?
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    Light between 2 towers reflecting off a lake

    Currently I have this by cross multiplying out the denominators. X•sqrt(21^2 +(120-X)^2) + (141-X)•sqrt(7^2+X^2)=0
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    Light between 2 towers reflecting off a lake

    If not how should I go about simplifying what I have
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    Light between 2 towers reflecting off a lake

    Could I square the fractions to eliminate the radicals?
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    Light between 2 towers reflecting off a lake

    Then I simplify those, set them to zero and solve I believe?
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