If $P = \frac{A^3}{B^{5/2}}$ and $\Delta A$ is the absolute error in $A$ and $\Delta B$ is the absolute error in $B$,then the absolute error $\Delta P$ in $P$ is:

  • A
    $\Delta P = \pm \left( 3 \frac{\Delta A}{A} + \frac{5}{2} \frac{\Delta B}{B} \right) P$
  • B
    $\Delta P = \pm \left( 3 \frac{\Delta A}{A} + \frac{5}{2} \frac{\Delta B}{B} \right)$
  • C
    $\Delta P = \pm \left( 3 \frac{\Delta A}{A} - \frac{5}{2} \frac{\Delta B}{B} \right) P$
  • D
    $\Delta P = \pm \left( 3 \frac{\Delta A}{B} - \frac{5}{2} \frac{\Delta B}{A} \right) P$

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