Examples. Justify your answers briefly. (b) Find the Dedekind cut for 1+ 32. Your answer should not refer directly to any irrational numbers. (c) Let S be the set of points (x, y) in R² so that x² + 4y² = 1. Explain why S is sequentially compact.

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Q: / 1 التاريخ : and the number using the central differences of the Prablem where - y = x الموضوع y (H…

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Q: singular

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Q: Given the points (-10,5) and (1,4) find the slope

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Q: A: Find the solution to the following linear programming problem using the simplex method Max…

A: We have given a LPP problem, maxz=5x+10ySubject to:8x+8y≤16012x+12y≤180x, y≥0 The problem is…

Q: y(t) = 1 – 0.5e¯t[ej2.829t + e−j2.829t] + j0.1768e-t[ej2.82⁹t — e-j2.829t] j2.829t -j2.829t j2.829t…

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Q: Solve for the value of f(x) = e³x² Using 12 term Taylor series if x = 0.056

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Q: [5] For each of the following functions f find a simple function g such that f(n) = (g(n)). (a)…

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Q: (The hammer blow) Let p(x) = 0 and √(x) = 1 for [x] 3a/2. Continue in this manner for each case.]

A: Given Data: Let us consider the given equation is ux,t=12c∫x-ctx+ctψsds =12clength ofx-ct,x+ct∩-a,a…

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A: Given: The lab score is worth 17% of your total grade, each major test is worth 23%, and the final…

Q: values - linx dx using the romber] method, x a) 0.64/01 b) 0.65806 c) 0.6637 d) 0.6112

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Q: (1) If AB= 0, then A=0 or B=0. (2) If A² = I, then A = I or A = -1. (3) AB = BA

A: As per our company guidelines, we are supposed to answer only the first three sub-parts. Kindly…

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Q: Q4. B. Find the tangential vector (T), normal vector (N) and binomial vector (B) for the position…

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Q: Suppose that Pk k→∞ ||P|| Calculate lim 18 Pk = √(2)(1.5)4 2 +3(-0.5)k H You can use an…

A: Given,        pk=2 1.5k12+3 -0.5k18-17.

Q: means: For all € > 0) there is a > 0) such that for all x satisfying 0 0) 2.8 > 0 3.0 € 5. but lim…

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Q: 3. Consider again A = 2 1 6 1 0 -1 2 10 a) Explain how to reduce A to a diagonal matrix D using only…

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Q: Consider the following differential equation. (y-x)y' = y + x y + x y-x Let f(x, y) = Find the…

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Q: Let R be a ring and a, b in R. Show that ab is nilpotent implies that ba is nilpotent.

A: We know that An element "a" in a ring R is called nilpotent if an = 0 for some positive integer n.…

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Q: The specific volume of a super-heated steam is listed in steam table for various temperature. For…

A: The specific volume of a super-heated steam is listed in steam table, T, °F 700 720 740 760 780…

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Q: Given the following matrices A and B, find an elementary matrix E such that B = EA: You can resize a…

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Q: The specific volume of a super-heated steam is listed in steam table for various temperature. For…

A: Sol:- The value of table for T and v T 700 720 740 760 780 v 0.0977 0.12184 0.1406 0.15509…

Q: Given a sequence (Sn)neN, define a new sequence tn (depending on s) by the recursive formula t(s) =…

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Q: (1) If AB = O, then A=0 or B=0. (2) If A² = I, then A = I or A=-I. (3) AB = BA (4) If AB AC, then B…

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Q: B: Iraq Glass Industries Company produces two types of products, A and B, each one goes through two…

A: here we need to model this question as a mathematical maxizing problem.

Q: Construct the general solution of the differential equation dy x2d²y +x + (x² − ²)y = sin x dx² dx -

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Q: 9. A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be…

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Q: Given where s() is in feet and it is in seconds, find each of the following a) v() b) alt) The…

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Q: 2. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that…

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Q: 2.30 Let r denote a position vector r = x= xiêį (r² = x₁x₁) and A be an arbitrary constant vector.…

A: Given: The position vector r=x=xie^ir2=xixi and A be a constant vector  To Show : a) ∇2rn=nn+1rn-2…

Q: 4 Find the determinant of a) b) 144 3 14 033 0025 000-4 Lo 00 0 432 сост c) d) 5 -144

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Q: Solved the following set of equations 110x20y = 20 80x70y = 0 -30x-50y + 110z = 500 Using Gauss…

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Q: 17.) Find the derivative using the quotient rule.

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Q: Let R be the field of real numbers and consider the two-dimensional real vector space R² = {(x, y) :…

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Q: 1.) Using the "wall method," find the limit. When necessary, state that the limit does not exist.…

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Q: Determine the inverse of the matrix shown below 7 -6 -6 4 -1 A = 3-27 5 9 2 3 -1 8 9 -2 5

A: Solution :- 7-63-2-64-153-189-2592-1Augment with a 4x4 identity matrix=7-63-2∣ 1000-64-15∣…

Q: Find bases and dimensions for all four fundamental subspaces of A: 1 0 01 3 0 2 A= 5 100014 -3 1 1 0…

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Q: 13.) List all x-values for which the function is not differentiable. عیت

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Q: (i) Find the intervals in which the function f(x) = 3costr + 10cos³x + 6cos²x − 3, 0≤x≤ a, is…

A: Given :  f(x) = 3cox4x + 10cos3x + 6cos2x - 3,  0 ≤ x ≤ π To find :  The intervals in which the…

Q: Convert (-2, 2, 3) from Cartesian ? coordinate to cylindrical coordinate (4-,3.46,1.5) O (3,45,1.41)…

A: To convert the point (-2,2,3) from cartesian coordinate to cylindrical coordinate.