1. Consider the following functional dependencies: Z -> XYD, X -> Y Find the minimal cover...

1. Consider the following functional dependencies: Z -> XYD, X -> Y Find the minimal cover of the above.

2. Consider the following two sets of functional dependencies: F = {A -> C, AC -> D, E -> AD, E -> H} and G = {A -> CD, E -> AH}. Check whether they are equivalent.

Expert Solution

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venereology answered 2 years ago

Consider the following functional dependencies: Z -> XYD, X -> Y. Find the minimal cover of...

Consider the following functional dependencies: Z -> XYD, X -> Y. Find the minimal cover of the above.

Find ??, ?? and ?? of F(x, y, z) = tan(x+y) + tan(y+z) – 1

Task 1. For each table on the list, identify the functional dependencies. List the functional dependencies....

Task 1. For each table on the list, identify the functional dependencies. List the functional dependencies. Normalize the relations to BCNF. Then decide whether the resulting tables should be implemented in that form. If not, explain why. For each table, write the table name and write out the names, data types, and sizes of all the data items, Identify any constraints, using the conventions of the DBMS you will use for implementation. Write and execute SQL statements to create all...

*(1)(a) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z):...

*(1)(a) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): z=c}. (b) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): x=a}. (c) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): y=b}. *(2) Find a formula for the intersection of a cone {(x,y,z): x^2+y^2=z^2} with a plane {(x,y,z): z=kx+b} assuming both b and k are positive. (a) For what value of...

Consider the following function: f (x , y , z ) = x 2 + y...

Consider the following function: f (x , y , z ) = x 2 + y 2 + z 2 − x y − y z + x + z (a) This function has one critical point. Find it. (b) Compute the Hessian of f , and use it to determine whether the critical point is a local man, local min, or neither? (c) Is the critical point a global max, global min, or neither? Justify your answer.

Consider a transformation ?:ℝ3→ℝ3T:R3→R3 defined by ?(?,?,?)=(?+?+?, 2?+?, ?−2?+?).T(x,y,z)=(x+y+z, 2x+y, x−2y+z). (a) Find the standard matrix...

Consider a transformation ?:ℝ3→ℝ3T:R3→R3 defined by ?(?,?,?)=(?+?+?, 2?+?, ?−2?+?).T(x,y,z)=(x+y+z, 2x+y, x−2y+z). (a) Find the standard matrix of ?T. (b) Is ?T a linear transformation? Explain. (c) Is ?T invertible? (d) Find the image of (2,−1,1)(2,−1,1) under ?T.

Consider the formula A : ∃x.[(∀y.P(x, y) → R(x)) → ¬∃z.Q(x, z)] (a) Find a formula...

Consider the formula A : ∃x.[(∀y.P(x, y) → R(x)) → ¬∃z.Q(x, z)] (a) Find a formula equivalent to A that only has negation symbols in front of basic formulas. (b) Give an example of an interpretation where A is true. The domain should be the set N. (c) Give an example of an interpretation where A is false. The domain should be the set N.

Consider a relation R (ABCDEFGH) with the following functional dependencies: ACD --> EF AG --> A...

Consider a relation R (ABCDEFGH) with the following functional dependencies: ACD --> EF AG --> A B --> CFH D --> C DF --> G F --> C F --> D Find minimal cover and identify all possible candidate keys. In order to receive full credit, please list each step taken and the rules that you applied.

Consider the vector field F(x,y,z)=〈 4x^(2) , 7(x+y)^2 , −4(x+y+z)^(2) 〉. Find the divergence and curl...

Consider the vector field F(x,y,z)=〈 4x^(2) , 7(x+y)^2 , −4(x+y+z)^(2) 〉. Find the divergence and curl of F. div(F)=∇⋅F= ? curl(F)=∇×F= ?

Use implicit differentiation to find ∂z/∂x and ∂z/∂y if xz = cos (y + z).

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