13. (10 points) A rectangular box has a length L = 12 13. (10 points) A rectangular...

13. (10 points) A rectangular box has a length L = 12\

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13. (10 points) A rectangular box has a length L = 12", a width W = 6 ", and a height H=4" (a) (b) (c) (d) (f) (h) Let V = LWH. Find V. Using the product rule, what is AV in terms of L, W, H, AL, AW, and AH? Compute AV if AL = AW = AH = 1" AL What is the value of the relative error of L AW What is the value of the relative error of W What is the value of the relative error of H How are the relative errors of L, W, H, , and V related to each other? Find a AV AL AW , and using your answers from parts (a) and (b). relationship between Show that your values computed in (a), (c), (d), (e), and (f) fit your derived relationship in (g)?

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