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After writing \(x=f(t)\) and \(y=g(t)\), what should be found separately?

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Question

After writing \(x=f(t)\) and \(y=g(t)\), what should be found separately?

Options

  • \(x+y\) and \(x-y\)

  • \(\frac{dx}{dt}\) and \(\frac{dy}{dt}\)

  • Only \(\frac{dy}{dx}\)

  • Only \(\frac{dt}{dx}\)

MCQ
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Solution

The derivatives \(\frac{dx}{dt}\) and \(\frac{dy}{dt}\) must be calculated separately. They are then used in the parametric derivative formula.

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