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remnant

  • 3 years ago

Multivariable calculus question:

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  1. remnant
    • 3 years ago
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  2. remnant
    • 3 years ago
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    \[\large \frac{dz}{d \theta } = \frac{dz}{dx}\frac{dx}{d \theta} + \frac{dz}{dy}\frac{dy}{d \theta}\]

  3. remnant
    • 3 years ago
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    i am given \[\frac{dz}{dx} = -1\] at (3,4) and\[\frac{dz}{dy} = 2\] at (3,4)

  4. remnant
    • 3 years ago
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    \[\frac{dx}{d \theta} = -\sqrt{5}\sin (\theta )\]

  5. remnant
    • 3 years ago
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    \[\frac{dy}{d \theta} = \sqrt{5}\cos( \theta )\]

  6. remnant
    • 3 years ago
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    @phi @amistre64 @Hero @myininaya @ash2326

  7. experimentX
    • 3 years ago
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    put \( \theta =\arctan( 4/3) \)

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