Calculus Derivatives Quiz
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Questions and Answers

What is the derivative of Q with respect to time t?

  • t extbf{i} + 3 extbf{j} + 2 extbf{k}
  • 5t^2 extbf{i} + 5 extbf{j} - 5 extbf{k}
  • 3t^2 extbf{i} + 2t extbf{j} + 3 extbf{k}
  • 2t extbf{i} + extbf{j} + 3 extbf{k} (correct)

    • What is the value of the derivative of R with respect to time t?

  • 5 extbf{i} + 1 extbf{j} + 5 extbf{k}
  • 2t extbf{i} + extbf{j} + 5 extbf{k}
  • 2t extbf{i} + extbf{j} - 1 extbf{k} (correct)
  • 5 extbf{i} + extbf{j} - 5 extbf{k}

    • Which component of the expression for Q is the highest degree term?

  • 3t extbf{k}
  • t extbf{j}
  • 2t extbf{i}
  • t^{2} extbf{i} (correct)

    • Which of the following represents the combined derivatives of Q and R?

    <p>$ rac{dQ}{dt} + rac{dR}{dt} = (2t + 5) extbf{i} + (2t + 1) extbf{j} + (3 - 5) extbf{k}$</p> Signup and view all the answers

    What is the value of the constant term in the expression for R?

    <p>-3</p> Signup and view all the answers

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