Starting Out With Java: From Control Structures Through Objects, Student Value Edition (7th Edition)
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Chapter 15, Problem 2SA
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Given a relation schema R = (A, B, C, D, E,G) with a set of functional dependencies F {ABCD BC → DE B→ D D→ A}. (a) Show that R is not in BCNF using the functional dependency A → BCD. (b) Show that AG is a superkey for R (c) Compute a canonical cover Fc for the set of functional dependencies F. Show your work. (d) Give a 3NF decomposition of R based on the canonical cover found in (c). Show your work. (e) Give a BCNF decomposition of R using F. Show your work.
The following entity-relationship (ER) diagram models a database that helps car deal- ers maintain records of customers and cars in their inventory. Construct a relational database schema from the ER diagram. Your set of schemas should include primary-key and foreign-key constraints and you should ensure there are no redundant schemas. has_model model modelID name vehicle has_vehicle VIN dealer_ID brand name has_available_option has_option has_dealer options options_ID specification dealer dealer ID name customer_ID owned_by customer customer ID name
A relation schema R = (A, B, C, D, E) with a set of functional dependencies F= {D A CAB} is decomposed into R₁ = (A, B, C) and R2 = (C, D, E). (a) Is this a lossless-join decomposition? Why or why not? (b) Is the decomposition dependency preserving? Why or why not?

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