Set x = 4.25, y = 3.54, and z = 6.77 and suppose that δ(x) =...

Set x = 4.25, y = 3.54, and z = 6.77 and suppose that δ(x) = δ(y) = δ(z) = 0.002. Bound the error of the following expressions. (a) y+ x2−xy+y/z (b) (x−y)e(x+y) (c) cos(x)∗cos(y) +2sin(x)∗sin(y) (d) ﬁnd relative error bound for expression (a)

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orchestra answered 1 year ago

Suppose X,Y,Z ⊆ U. If X is the set of all people who played hockey in...

Suppose X,Y,Z ⊆ U. If X is the set of all people who played hockey in high school, Y is the set of all out-of-state students, and Z is the set of all international students, describe the following sets in words: (a) X′ ∪Y ∪Z (b) X ∩ Y ′ ∩ Z′ (c) (X∩Y′)∪Z′ Consider the set A = {b, c, d}. (a) How many subsets does A have? (b) List all subsets of A. Suppose that a committee of...

Suppose x,y ∈ R and assume that x < y. Show that for all z ∈...

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1) Generate a data set with three variables (X, Y and Z). X and Y have...

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The curried version of let f (x,y,z) = (x,(y,z)) is let f (x,(y,z)) = (x,(y,z)) Just...

The curried version of let f (x,y,z) = (x,(y,z)) is let f (x,(y,z)) = (x,(y,z)) Just f (because f is already curried) let f x y z = (x,(y,z)) let f x y z = x (y z)

Let X, Y ⊂ Z and x, y ∈ Z Let A = (X\{x}) ∪ {x}....

Let X, Y ⊂ Z and x, y ∈ Z Let A = (X\{x}) ∪ {x}. a) Prove or disprove: A ⊆ X b) Prove or disprove: X ⊆ A c) Prove or disprove: P(X ∪ Y ) ⊆ P(X) ∪ P(Y ) ∪ P(X ∩ Y ) d) Prove or disprove: P(X) ∪ P(Y ) ∪ P(X ∩ Y ) ⊆ P(X ∪ Y )

If X, Y and Z are three arbitrary vectors, prove these identities: a. (X×Y).Z = X.(Y×Z)...

If X, Y and Z are three arbitrary vectors, prove these identities: a. (X×Y).Z = X.(Y×Z) b. X×(Y×Z) = (X.Z)Y – (X.Y)Z c. X.(Y×Z) = -Y.(X×Z)

A Pythagorean triplet is a set of positive integers (x, y, z) such that x2 +...

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10. Suppose that X, Y and Z are normally distributed where X ≈ N(100,100), Y ≈...

10. Suppose that X, Y and Z are normally distributed where X ≈ N(100,100), Y ≈ N(400, 400) and Z ≈ N(64,64). Let W = X + Y + Z. a) Describe the distribution of W, give a name and parameters E(W) and Var(W). b) Use Excel or R to generate 200 random values for X, Y and Z. Add these to obtain 200 values for W. Create a histogram for W. In Excel use the NORMINV(rand(),mean, sd) function. c)...

Digital Logic Simplify: F = (x’∙ y’∙ z’) + (x’∙ y ∙ z’) + (x ∙...

Digital Logic Simplify: F = (x’∙ y’∙ z’) + (x’∙ y ∙ z’) + (x ∙ y’ ∙ z’) + (x ∙ y ∙ z) F = (x + y + z’) (x + y’ + z’) (x’ + y + z’) (x’ + y’ + z)

Suppose X and Y are independent variables and X~ Bernoulli(1/2) and Y~ Bernoulli(1/3) and Z=X+Y A-...

Suppose X and Y are independent variables and X~ Bernoulli(1/2) and Y~ Bernoulli(1/3) and Z=X+Y A- find the joint probability table B- find the probility distribution table of Z C- find E(X+Y) D- find E(XY) E- find Cov(X, Y)

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