The set S=[1,3) is not compact. Which open cover of S contains a finite subcover?

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A: The given problem is to estimate the given following integral using Trapezoidal method with n=10…

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A: We can solve this using given information

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Q: Which among the sets is open? [0,1) O {0.1/n...1/3,1/2,1} R\[a,b] None of the above.

A: To identify which of the given set if open set.

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A: We have to find the solution.

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A: Solution: The formula for number of samples required:- N= z×σ( h× x2 In the above formula h=desired…

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A: If S has no accumulation point that's does not implies that the set S is closed. Counter example is…

Q: iready Classes O Zooniverse Algebra Calculator... ssade Zachary - GU5L5 Exploration le Edit View…

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Q: Let F and G be vector-valued F(1) = (1,0,2), F'(1) = (1,1,2), Ģ(1) = (2,1,3), G'(1) = (-1, -2, 4),…

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Q: -sine ae +r a evaluate the line integral of when evaluated from n (2,π/2,1/3) to (2,ñ,π/3). sin F…

A: Using the orthogonality of the spherical coordinates.

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A: The system is (r, theta, phi) Using the curvilinear spherical coordinates.

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A: Given that,Λ=1, 2, 3, ... Λλ=x|x=2λm where m∈set of integers from -λ to +λThe generalized union and…

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Q: 1 5. Let D be the region bounded by the lines y = x, x = 3 and the curve y (a) Sketch the region of…

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Q: Using Bisection method find the solution of T g(x) = 2x - 3 sin =8 Use as initial values 3 <-T 2 2n…

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Q: olutions and sket

A: Given: The plane2x+y+2z=8 The parabolic cylinder y=x2

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Q: 1. The product of (5254)^143 and (14344)^143 under modulo 143 is congruent to ___. a. 98 b. 121 c.…

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Q: What is the basis and dimension of M3(R)?

A: Basis: For a vector space V, the set of linearly independent vectors that generate the whole vector…

Q: By using Newton Raphson Method, the repeated root of 4x^3-8x^2-3x+9=0 using 2 as Xn is? O 1.6 1.55…

A: Given equation is 4x3 -8x2 -3x+9=0 Take fx = 4x3 -8x2 -3x+9 First derivative of f(x) is fx = 4x3…

Q: (a) If the sequence ()neN CX is convergent, show that it is bounded. (b) If the sequence (n)neN CX…

A: Thank you for the question. Since you have posted multiple questions we will solve the first…

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Q: Let A EMn (R) be given. If 11x11 = 11yll = 1 and x •y = 1, show that x=y

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Q: 1 1 1 (c) Find simple descriptions for each of the sets U • U [ ₁ - ² x + ¹) and № [² - ² + ¹) X- n…

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Q: Please answer in complete solution The task is to identify all the values of a and b that will make…

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Q: Consider the following vector fields: F = (3x² e²y, 2x³e²y + 2 cos y sin y) and G= (y+z, x+y, z —…

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Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x = 3 and the curve y = (a)…

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Q: Consider the statement Vxy (y <x) Let x be all natural numbers Let y = x-1 Is the statement true or…

A: We know that the set of natural numbers starts from 1 and it is an infinite set. This set is…

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Q: 257. Show that the line passing through points P(3, 1, 0) and Q(1, 4, -3) is perpendicular to the…

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Q: Problem 2.9. Let 9 be a root of an irreducible polynomial p E Q[r]. Prove that if 0 € C, then deg…

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Q: Find the feasibility region bounded by the following systems linear inequalities. Find the critical…

A: Draw the lines x+2y=6, 2x-3y=12, x+2y=10, x-y=1, x=0 and y=0 on the graph paper.

Q: (e) For any nonzero real number z, prove Σε 1- 1-z""

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Q: The approximate value of [(e^² + 4x² − 8) dx by a single application of Simpson’s 3/8 rule išº − is…

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Q: Question 5. Given a metric spaceX,p> (a) If the sequence (rn)EN CX is convergent, show that it is…

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Q: 6 5577 JA -) Determine the values of constants a and b so that f(x) = ax²+bx has an absolute maximum…

A: The given function is f(x)=ax2+bx the function has absolute maximum at the point (1,2), therefore…

Q: dx 1 + x method. Hence find the value of log 2. Example 8.18. Evaluate f . correct to three decimal…

A: Problem can be solved using Romberg's Method.