Let X be a set. Show that the following statements are equivalent. (1) X is transitive. (2) XC P(X). (3) UX CX.

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A: Given

Q: 36 6 10. Find the coefficient of x³6 in (x + x² + x³ + x² + x³ + x² + x² + x³) ³

A: To find the coefficient of the term x36 in the expansion of x+x2+x3+x4+x5+x6+x7+x85.

Q: H 21. Iff: X→ Y and g: Y→ Z are functions and g of is one-to-one, must ƒ be one-to-one? Prove or…

A: Let, for x, y ∈ X, f(x) = f(y)  Then, g(f(x)) = g(f(y))          => g o f(x) = g o f(y)

Q: Let y = 3 -3 -3 21 - -2 U2= 0 B -1 2 Compute the dot product between ₁ and ₂. U1 U2 =

A: As per the guidelines I have solved three subparts.

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Q: (a) Give an example of a bounded sequence that diverges.

A: Since all questions are different ,so according to the guidelines I will solve first question. That…

Q: H 22. Iff: X→ Y and g: Y→ Z are functions and g of is onto, must g be onto? Prove or give a…

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Q: Which of the following is a partially factored form of the function f(x) = x² + 5x² - 2x-24?…

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A: Use the given information.

Q: 34 4) (a) Compute the value of a. (b) Find all of the a eigenvalues of A. (c) Find all of the…

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Q: 2. Let f A → B be a function. Prove that if g, h : B → A are inverse functions of f, then g(b) =…

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Q: Find the solution to the linear system of differential equations x(t) = y(t) = = -2x -10x + 3y…

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Q: Prove

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Q: Internet Audience   At the end of a certain year, the four companies with the largest number of home…

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Q: Suppose U is the subspace of R4 defined by U = Find an orthonormal span ((1, 2, 3,-4), (-5, 4, 3,…

A: Please find attachment

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Q: Example: syms x y(x); % Defines the variable x for the differentiation and other operations. Also…

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Q: Examine the graph of the function f(x) = 10x³ + 3x² - 12x. -5 -4 -3 -2 Estimate the interval(s) on…

A: We have to find the interval where rate of change of the function will be positive.

Q: A real estate agent makes 2.8% in commission. She sold 3 houses in April. One house sold for…

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Q: Solve for a and b so the points (1,-1, -3), (2, 0, -1), and (a, b, 3) will lie on a straight line.

A: The given problem is to find the values of a and b so that the given points (1,-1,-3),(2,0,-1) and…

Q: 8. Use triple integrals to find the volume of the solid enclosed by the cylinder y = x² and the…

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Q: Using only the definition of limit, prove the following: 2n (a) lim 21 n→∞ = 0; (b) lim 1+ 1 + 2/1/2…

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Q: let my non- d 1(n) be diemy, we have from e Mango! an

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Q: How many vertices and how many edges does Kn have? Multiple Choice It has n(n-1)/2 vertices and n…

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Q: Solve the 1st ordinary differential equation? y'-y-xy5 = 0 dy/dx (x-y) = (x+y) 1- 2-

A: As Per Bartleby Answering Guidelines We Solve Only First One Problem  Solution - 1 : Given that the…

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Q: I don't understand this question. Integral 1 to e; x(ln2)-1dx. This first step to the solution was…

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