Part I. Cartesian Product and Relation Give the Relation: 1. Find a relation R such that >l if A = (0,1, 2} and B = (0, 1, 2, 3}. 2. Find a relation R such that y is a power of x if A = {1, 2, 3} and B = {1, 4, 5, 9) 2.

Q: chuk thisynncdrs and gaph the if O-0,7 Curve r-4a Coso

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Q: 1. Consider A = (0, 4, 2) , B =, (6, –1, 0) and C = (3,0, 1). (a) Find the unit vector having the…

A: Given,A=0,4,2, B=6,-1,0, C=3,0,1To find: a) Unit vector              b) Sketch of the unit vector…

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Q: 12. Start with the identities x2 1 P, (x) = xPn-1(x) + *P(x) n P, (x) = xP-1(x) + nP,-1(x ) (a) Show…

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Q: --E- a) Consider a set of vectors, x = |3 y 2 and z = 1 L4 Can we express the vector, v = 4 as a…

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Q: 8. Demonstrate that the equation 2r = 3 (mod 6) has no solution by plug ging in all possible values…

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Q: a) Find the distance between m = [-2,3, 2,0,3, – 13, –5] and n [4, –1,1, -5,0, 11, -3].

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Q: TRUE OR FALSE? A. Let A and B be n x n matrices. If AB = [0], then BA = [0]? B. If A and B are n x…

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Q: Which of the following statements is not true? 1) The graph of an odd function is symmetrical about…

A: 1. As when graph of a function is symmetric about y-axis then it is an even function. But in option…

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Q: 2. The linear differential equation x*dy+(2y-3x²y-x' dx 0 has the integrating factor equal to (Note:…

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Q: Find the Laplace Transform of f(t) = cos? 3t (A F (s) 2 2+ 36 s 1 B F(s) s2+ 36 6 (c) F(s) = - s2+…

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Q: On a cross-country bicycle trip, participants ride about 75 miles per day. Approximately how many…

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Q: 11. Find a basis of the following subspace of R4. all vectors of the form (a, b, c, d) where a + b –…

A: The solution is given as

Q: [2 1 11 b) Find the inverse of the matrix L = 3 4 1 with the determinant of the matrix L = -2. [3 2…

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Q: dan Elimination. 1. x1 + x2 - x3 = -2 2x1 - x2 + x3 = -5 -x1 + 2x2 -3x3 = -

A: We solve this system of equations using gauss jordon elimination .

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A: Solution

Q: Integrate f(x) from x = 2 to 8 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000 + 24583x –…

A: We have fx=5000+24583x-7418x2+766x3-31x4+0.44x5 and x is from 2 to 8 The formula to integrate…

Q: What value oft ensures the following system of equations has no solution? 3r + (12 – 4)y = 1 = 2 ty…

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Q: 2. Find the power series representation of the following functions. And then write out their I.O.C..…

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

Q: Let e > 0 be given. Find & > 0 such that |x – 2| < 8 implies that J22 + x – 6| < e. A nsw er:

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Q: [2 1 ° b) Find the inverse of the matrix L = |3 4 1 with the determinant of the matrix L = -2. L3 2…

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

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Q: 11. Find all integers x and y, 0< x, y < n, that satisfy each of the following pairs of congruences.…

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Q: Find the solution. (x+e) dy - dx =0 (A y=ce" + ye B x=ce" + ye" x=ce + ye D y=ce" +xe

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Q: 1. Linear equation of order one: dy-(r' -2xy dx =0

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

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Q: Which of the following row operations on a matrix may not be an elementary operation Replace one row…

A: We want to find true option

Q: Find the solution. dy 2y dx A y = x(x+c) B y = x²(x-c) -2 y = x?(x+c)? O y = x'(x+c)³

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Q: Fits a second-order Newton interpolation polynomial to estimate Log(10) with the following data,…

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Q: 1. Given a two variables function z = f(x, y) = V64 – 4x2 – y2. (i) Determine the domain and range…

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Q: Find the solution. d³x d?x dx -2-=0 di + di A y =c,e+c y = c+ O y = c,+cc'+ce2

A: Given differential equation is d3xdt3 + d2xdt2 - 2dxdt = 0

Q: Which of the following matrices is not in row-echelon form? () 1 0 2 4° 0 0 1 5 0 0 0 0 (A 1 0 2 4°…

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Q: Question 2: a. The probability distribution of a discrete random variable X is given below: 1 P(X…

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Q: 3t

A: We have to find the Laplace transform.

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A: The solution is given as

Q: Which of the following matrices is not in reduced row-echelon form ? 1 0 0 6) A 0 1 0 7 0 0 1 1 1 0…

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Q: If A and B are n x n symmetric matrices, then AB is symmetric. ... (A) True B) False

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Q: What value of t ensures the following system of equations has no solution? 3x + (t2 – 4)y = 2 1 ty

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Q: Find the Inverse Laplace Transform of s?+2s + 10 'sin3t A 3 3 sin9 3. cost

A: Inverse Laplace transferom

Q: 4. Given the system dr -6x – y dt dy dt. 3x 2y (a) Find the general solution. (b) Find the solution…

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Q: Va e, es ly Is the walk v5 e3 V4e2 V2@1V1 ez Vz €4V4an Euler path, circuit, or neither? O Path O…

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