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To answer this question, we need to use the formula:
W = F x d
where W is the work done, F is the force applied, and d is the distance moved.
In this case, the force applied is the weight of the books, which is 14.75 N. The distance moved is the height of the staircase, which is 12 m.
So, using the formula:
W = 14.75 N x 12 m
W = 177 J
Therefore, Ms. Avari will be doing 177 J of work to carry the stack of books up the 12 m height staircase.