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 1 year 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

*(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 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 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.

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

Find the coordinates of the point (x, y, z) on the plane z = 4 x...

Find the coordinates of the point (x, y, z) on the plane z = 4 x + 1 y + 4 which is closest to the origin.

Consider the following planes. x + y + z = 7, x + 3y + 3z =...

Consider the following planes. x + y + z = 7, x + 3y + 3z = 7 (a) Find parametric equations for the line of intersection of the planes. (Use the parameter t.) (x(t), y(t), z(t)) = (b) Find the angle between the planes. (Round your answer to one decimal place.) °

1. Find the minimal cover of E, where E= { P → QRST, RS → T...

1. Find the minimal cover of E, where E= { P → QRST, RS → T } (Use Algorithm 15.2)

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