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Q: Illustrate the following (A ∩ B') = A' U B'

A: To illustrate the set equality (A ∩ B') = A' U B', we'll use Venn diagrams. Venn diagrams are…

Q: what happened to the 1(1-lambda) part in the first line

A: Given

Q: 2. LetG = (Z12,) & H == {4,8,0}. Then [G:H]=3. *True *False

A:

Q: a) Find ū - i b) Find w.u 1/2

A:

Q: 8. Determine the dot product of u = [7,-4.1] and v = [3.-2.2].

A: Dot product is also known as the scalar product.

Q: 15) Differeatake Hhe banchen y=f-40e43).

A:

Q: Let U= {1, 7, 2, 12, 5, 10, 20, 18} A = {1, 20, 18} C = {7, 2, 12, 5, 10} Find A U C'.

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Q: B) Show that coth-x = In ()

A:

Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

A:

Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: Find ſ using residues.

A:

Q: 10. Let ā = (1,2) and b= (2,1). Find projz(ā). Then show that ā– projz(ā) is orthogonal to b…

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Q: What is the transformation that takes ASTU to AS'T'U'?

A:

Q: Find proj,u and scal,u by inspection without using formulas.

A: Given the graph

Q: & 18) Vaing showj that the idently in

A: Using the identity 1+x2n=1+xn1+xn,                . . . (1) we want to show that 2nn=∑k=0nnk2.…