Let X = {a, b, c} and R={(c, b),(a, c)}. Then Check the all properties reflexive,symmetric, antisymmetric, transitive etc. Which one is true?

Q: Consider the Riemann surface S of the algebraic function given by 3 W= (z −2)² (√√2+i) (a) What are…

A: Given That : Reimann Surface S of the algebraic Function given by  w=(z-2)2(z+i)3 To Find : a)…

Q: 9 Give with an not example of T: W≤X →Y, to XT Ext. .R. boundedag. - keše bes

A: Please find the solution innext step this is an non-example of Tietze extension theorem in Topology.

Q: f(x)=(3x+1)1/2; a=5; b=16.081/2

A: It is given that fx=3x+1. We have to compute the linearization of the function fx at the point a=5.…

Q: Check whether each satisfy a relation property: (ex, transitivty, etc ): " for real numbers

A: We have to check whether each satisfies a relation property: > , = , < for real numbers.

Q: Find the laplace transformation of the Following function :- ů حسن f(t) = Sint f(t) = e-'sin't th 25…

A: Introduction: Laplace transformation is applicable in wide range in many applied fields of…

Q: Use cylindrical coordinates to integrate f(x, y, z) = z over the intersection (i.e. all the volume…

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Q: Find the general solution of the system X'(t) = AX(t) for the given matrix A. A = © = O Oxt) =…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: 1- Find &, and Ea of sin (x) for x = 2 with 1-8 terms of the series. sin(x) - Σ k-0 (-1)* (2k + 1)!…

A: Given : sinx=∑k=0∞-1k2k+1!x2k+1  =x-x33!+x55!-. . . . . . To Find : et   ,  ea Note : According to…

Q: D²y(t) + 12Dy(t) + 36y(t) = 1t³ y (0) = 1; Dy(0) = 0

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Q: Find an approximate solution to the nonlinear algebraic equation 4x-x³ = P P=2.5

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Q: 2. (i) Let R = Z, let M be the left R-module Z, and let X be the subset, X = {12, 11,9} CM. Show…

A: It is given that,  R = ℤ  and M be the left R-module of ℤ and  X = 12, 11, 9⊂M be any subset of M.…

Q: Question 4 Use Laplace transforms to solve the differential equation: d²x d1² Cos (21) + 4x=cos!…

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Q: ´) Consider the vectors - - (-) · · - () ₁ - - () a= 2 Do these vectors form a basis of R³? If yes,…

A: They form a basis for R3. Explanation is as follows

Q: Let A = 1 2 1 1 -2-10 0 1 1 1 0 and b 2 3 1 4 Find the least-squares solution to Az = = 6. Enter the…

A: It is provided that A→=111210-2-10101, b→=2-341. We need to determine the least square solution to…

Q: -[ 8 3 -15 5 2 Find enough vectors to form a basis of the eigenspace of A corresponding to X₁. -5 -9…

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Q: If matrix A is the following, find: 1 (a superscript matrix with an advanced element (not an…

A: Given a matrix A=214436-2-5-4 (i) To find the super script of the matrix, i.e find the transpose of…

Q: Using Conyo uution Theorem 1) [=² { = 3² (5²+0²) } L-2 1

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Q: 3x #3 x dy + (3x-1) y = C-³² dx Step 1: Standard Form dy + dx (3x-1) 4 x Step 2: M(x)= e P(x) =…

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Q: QUESTION 5 Match the following sums to their sum notations: 4 3 ΣΣ i = 2 j = 1 5 j = 1 i+j 2ij…

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Q: Let f: XY and g: Y→ V be functions. Show the following: (a) f is injective 3h: Y→ X such that hof=…

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Q: 3) A company sells two different types of candles, and their profit function for a week is given by…

A: 3) Given that a company sells two different types of candles, and their profit function for a week…

Q: Solve x (az + √2) dx y (az + √2) sin (ay²) dy + (az 4√2 ln az + √2 = C 4√2ln az + √√2 = C 4√2 ln az…

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Q: 57 6 radians; b has a magnitude 2. Letla, b E R2 where a has a magnitude of 3 and direction of 5m of…

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Q: Give an example of a set w-limit that is a minimal set.

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Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3

A: Given regions are: y=2x2, y=8 and the line x = 3 We have to compute the rotating area bounded by the…

Q: The region bounded by the curve y = x2, the x-axis, and the line = 2 is revolved about the y-axis.…

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Q: u² x(t = sin du 2 vit) = [coeds. y COS x(t) and y(t) are functions defined by integrating up to a…

A: It is provided that x(t)=∫0tsinu22du and y(t)=∫0tcosu22du. We need to verify if the curvature:…

Q: Suppose we have n> 1 vectors in R" vector space where the ith element of the ith vector (for 1 ≤ i…

A: Hint: From the definition of a basis we know that in ℝn the number of element should be n.

Q: assigns each element in the domain to a unique element in the range.

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Q: 5. Manually use Bisection iterative technique with 6 iterations to find a root of vr(t) in the…

A: Part (5):- Given function  vt = 0.250 t4 + 0.166 t3 - 0.500 t2 Interval :- 0.3,  0.7  and  -5, -1…

Q: dy senx+y cos x = xsenx dx y(7/2)=2

A: Let us consider a differential equation of the form,  dydx+P(x)y=Q(x) Then solving the equation…

Q: Consider the following differential equation d²y dy +3x- +2y=x³ dx² dx Which of the following is…

A: Here the given differential equation is    d2ydx2+3xdydx+2y=x3. We shall find the order of the given…

Q: Example: find the complex Fourier expansion of the periodic function shown below COS X - 1<x</ Cn 2…

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Q: Are you 100% sure about the answer? Also, can you rewrite it in neat handwriting please!

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Q: Solve using Fourier analysis U=U + 4 cos(2x), u(0,t) = 0, u(r, t) = 0, u(x, 0) = sin(3x) + cos(2x).…

A: Using separation of variables and Fourier series expansion.

Q: Set up, in either Cartesia over the region within the cylinder x² + y² evaluate the integral. 2م

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Q: Output is a function of inputs x1 and x2: y = x₁ 1/4 x2 1/2. Total cost is a function of inputs x₁…

A: Option(2) is true

Q: 15. cos y sin 2x dx + (cos2 y cos²x) dy = 0. cos² x(1 + sin y) = cos y(y + c - cos v). ANS.

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Q: Write each of the following sets in the form of listing its elements (i.e. in the form {a,b,c} to…

A: 1). A set ∅ is known as an Empty Set (i.e., a set having no elements). Here P({∅}) is the power set…

Q: Find the tangential and normal components of acceleration, at and an, at the specified values of t.…

A: Here we have to find the components of acceleration for given position vectors r→(t)  at the given…

Q: 1.use interval notation to determine where f(x)>5. 2.Identify where the local minimum of the…

A: Introduction: A real valued function follows many different characteristics. Increment and…

Q: Theorem Let fbe a continuous function on an open subset U of a anach space X into a Banach space Y.…

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Q: b. Find by double integration the area enclosed by the curve r= a(1+ cos 0) between 0 = 0 and 0=T.…

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Q: Consider the graph of f. f(x)dz The shaded region over [0, 7] has an area of 314 and evaluate the…

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Q: Find the volume of the solid with the order dzdydx bounded by x2  + y2  = 4 and the planes x + z=2,…

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Q: 27 The polar coordinates of a point are and 4. What are its Cartesian coordinates? 3 4, 2πT 3 For…

A: Given are the polar coordinates of a point as 2π3 and 4.   To Find: The Cartesian coordinates.…

Q: Suppose we have n> 1 vectors in R" vector space where the ith element of the ith vector (for 1 ≤ i ≤…

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Q: (b) Determine whether 6|(n³-n), for each integer n ≥ 0.

A: 13) b We prove that n3-n is divisible by 6 by using mathematical induction   Basis step: For n=0…

Q: 1. (a) Given two complex numbers z₁ = 1-√3j and 22 = 1+j, do the following: (i) Plot zi and Z2 in a…

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Q: Which of the following statements are equivalent? Proof your result. P→ (QR) ! (P→Q) ^ (P→ R) (PAQ)…

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