Exercise 3.4.3. List the ordered pairs in the relations represented by the directed graphs below. Classify each as reflexive, symmetric, antisymmetric, or transitive. (b)

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A: I have explained everything with in the solution. Please go throughthat.

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A: x1=rcosθx2=rsinθx3=ρcosφx4=ρsinφ

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A: Given that The cost to a distributor for a product is $36. The distributor sells the product for $67…

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Q: Find an orthogonal basis for the column space of the matrix to the right. ... 1 45 -1 -4 1 0 24 1 64…

A: (.)  Given matrix is ,         A =    1   4 5-1-4 1   0   2 4   1   6 4   1   6 8 (.) Gram Schmidt…

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Q: 8 n=1 5n. (n!)² (2n)!. 4n

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A: Null(M)={x∈Rn: Mx=0} ,where M is an m×n matix .

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Q: eiz 121=2 (2+i)5 (ii)) S. dz

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Q: Find the value C = of с (0.861 L1°) (0.861 L1 ) - 1 156.5878.35°

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Q: Prove that lim n→∞ n -* [₁² ( ₁ + ² ) " e e dx = 1. Justify your answer. n

A: Formula :   limx→∞ 1+axx  =  ea                      Given integral is  limn→∞ ∫121+xnn e-x dx…

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Q: Given that f(x) = {(1, 3), (2, 9), (5, 7), (11,9)} and g(x) = {(2,8), (3, 1), (4, 5), (9, 1),…

A: fx=1, 3, 2, 9, 5, 7, 11, 9gx=2, 8, 3, 1, 4, 5, 9, 1, 11, 0

Q: Draw the arrow diagram for the following relation. The domain of relation H is a group of four…

A: Please refer to the solution in next step.

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A: y''+3y'+2y=3t2e-2ty0=10, y'0=-8 Note: The are two separate question. According to the guidelines we…

Q: Evaluate S-i,1+2i] Im z dz.

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