Give two examples of U, V < G with |G : U| < o. Each example should satisfy one of the following: (a) |V : VnU| < |G : U\. (b) |V : VnU| = |G :U|.

Q: Find u, u = (-1, 4), v = (4, 5) (a) ||u|| v, uv, and d(u, v). (b) ||v|| (c) (d) U V d(u, v)

A: The given vectors u=-1, 4, v=4, 5. We have to find the values of u, v, u.v, du, v.

Q: Give an interpretation that satisfy the indicated FOL sentence For all x (F(x) or not G(x))…

A: The first-order logic (FOL) sentence given is "For all x (F(x) or not G(x))".This sentence can be…

Q: 3. There are two conditions that must be met in order for a function to be continuous, explain those…

A: See a function is continuous at a point a when these two conditions are satisfied,i) ii) Note that…

Q: Prove (z1z2)bar = (z1)bar (z2) bar

A: The objective of this question is to prove that the conjugate of the product of two complex numbers…

Q: Let A= (1,3] and B= (2,6] this is interval notation find the following a. A U B b.A n B c. B-A d. A…

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Q: Let A, B C X be subsets and f : X → Y a function. Show that ƒ(AÑ B) ≤ f(A)Ñ ƒ(B)

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Q: Let φ1(x) = 1, φ2(x) = x/|x|, φ3(x) = x^2 − 1/3 for −1 ≤x ≤1. Show that (φ1,φ2,φ3) form an…

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Q: a) f "(1) si f(x) = -3x² - 5x+7 b) f(4) si f(x) = x² + x² −x³

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Q: Let ƒ (x)

A: Consider the function fx=1x+1xx−1 Simplify it fx=1x+1xx−1=x−1+1xx−1=xxx−1=1x−1 Hence, fx=1x−1

Q: 12) The value of f, g,f,and g! are given in the table below live f (x) 3. -3 3 6 -2 -1 2. A) Eind h…

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Q: A = (a, b, c, d] X= [1, 2, 3, 4} Select the definition for f that is a well-defined function. O 1) f…

A: Let, A and X be two non empty sets. A function f: A -----&gt; B is an assignment in which each…