Understanding the Equation m_q[k] = m_q[k-1] + d_q[k]
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Questions and Answers

What does the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$ represent?

  • A way to calculate the total mass at index k.
  • A method for finding the difference of two masses.
  • An equation for summing differences of mass over indices. (correct)
  • A formula to determine the average of two consecutive masses.
  • In the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$, what does $d_{q}[k]$ represent?

  • The total mass accumulated up to index k.
  • The incremental change in mass at index k. (correct)
  • The average change in mass calculated over the sequence.
  • The mass at index k.
  • How does the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$ affect the value of $m_{q}[k]$ if $d_{q}[k]$ is negative?

  • It will decrease the value of $m_{q}[k]$. (correct)
  • It will have no effect on the value of $m_{q}[k]$.
  • It will increase the value of $m_{q}[k]$.
  • It will always result in a zero value for $m_{q}[k]$.
  • What is the primary operation performed within the equation $m_{q}[k] = m_{q}[k-1] + d_{q}[k]$?

    <p>Addition of the previous mass to a differential mass value.</p> Signup and view all the answers

    Study Notes

    Equation for mq[k]

    • The value of mq[k] is calculated by adding mq[k-1] and dq[k]

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    Description

    This quiz explores the equation m_q[k] = m_q[k-1] + d_q[k], breaking down each component and its implications. It investigates what d_q[k] represents, how negative values affect m_q[k], and identifies the primary operation within the equation. Perfect for those studying mathematical modeling or discrete systems.

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