The initial and final temperatures of water as recorded by an observer are $(40.6 \pm 0.2)^{\circ}C$ and $(78.9 \pm 0.3)^{\circ}C$. Calculate the rise in temperature with proper error limits.
- A$(38.3 \pm 0.5)^{\circ}C$
- B$(37.7 \pm 0.5)^{\circ}C$
- C$(38.3 \pm 0.1)^{\circ}C$
- D$(37.7 \pm 0.1)^{\circ}C$
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