Define: what is an equivalence relation?

Q: Q3) Evaluate triple integral S S dz dy dx.

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Q: Question 18a. A disease propagates according to x' = 64 – xy – 12y y = x - y where x represents…

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Q: 1-4, apply the Jacobi method to the given system of linear equations, using the initial…

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Q: Q2) Solve the D.E xy(x² + 1)dy – (y² + 1)dx = 0 %3D

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Q: L. RELATIONS Let C= D= {-3, -2, -1, 1, 2, 3} ar For all (x, y) E Cx D, (x, 1. a. Is 2 S 2? b. Is -1…

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Q: 53-S²+S-1

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Q: QI) Evaluate the integral dx dy using polar coordinate 4-y?

A: Polar coordinates are r and thetha Let x = r cos thetha y = r sin thetha So x² + y² = r²

Q: (1+x)-3=1-3x+6x2-10x3........ with ex= 1+x +x2/2 +x3/6............

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Q: d. Z,Z3 + Z4 e. (Z1 + Z3)/(Z2 - Z4)

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Q5/ Use Linear Regression to fit the following data: 1 2 3 4 5 6 Y 4 9 10 10 8 O3

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Q: [15 6 If F = |7 1 3,G = |4 0 6 [5 4 3 -7 and H = |2 1 7 4 5 1 2 5 6. ,find 2 GH HF

A: We want to find the matrices GH and HF

Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: 00 4" Use the ratio test to determine whether > converges or diverges. (2n)! n=7 (a) Find the ratio…

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Q: For each natural aumber a, the sum 1(2) + 2(3) ++ R(n + 1) is equal ta None of the choices This…

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Q: Let E be the solid that lies under the the plane z = 4, and on the xy-plane it is enclosed by y =…

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Q: In solving the antiderivative of f(x) =- 2- sin(x) by miscellaneous substitution, the substitution…

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Q: Question 5 Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single…

A: We have to find a matrix whose three eigen vectors are come from single eigenvalue.

Q: 3.) Show that the on( giln by norm (an hot be given bu a scalor produd

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Q: A slightly different breed of Hippogriffs, living in the Rathlin Island—the northernmost point in…

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Q: 1- x dx y =

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Q: 2. Let y and u = Write y as a sum of two orthogonal vectors, one in Span{u} and a vector orthogonal…

A: y and u are given to us and we need to write y as a sum of two orthogonal vectors such that one is…

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin +0) in…

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Q: Find plane area inside polar function r 2 and outside polar function r= -2sint in thisd quurter.

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Q: ii, 20 coins are flipped each with a probability of 0.5 that it will be heads. What is the standard…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x2 ,y = 4.

A: Volume bounded by xy-plane

Q: Problem 5 Solve Cauchy Euler equation r'y" + ry - y = r'e

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Q: 15. Suppose that the functionf:R Ris differentiable at xg. Prove that xf (xo)- xof (x) lim = f(xo) -…

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Q: Q3) Evaluate triple integral f, dz dy dx.

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Q: Does a k6 graph have a Hamiltonian cycle?

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Q: (b) lim (z.y)→(0,0) Vr4 + y3 +1–1

A: limit of the rational function

Q: Use the vectorized Euler method with h = 0.25 to find an approximation for the solution to the given…

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Q: Q38: If y = e2* sin 5x, then which of the following is true? e (a) y" – 4y' + 30y = 0+ - (b) y" –…

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Q: ind the total dominating set for: Cn kn Kmn

A: Given step by step explanation below

Q: QUESTION 13 Given vectors u = (-29, -16) and v = (-37, -18), find vector u - v. Provide your answer…

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Q: Calculate the general equation for the plane V that passes through the point P (1, 4, 5) and is…

A: Given ,point : P1, 4, 5and plane : 2x+4y + z = 0 We know that equation of the plane parallel to…

Q: [1 2 If D = 2 -1 0 3 and E = , find 0 3 2 -1 [1 5 6 If F = |7 1 3.G 4 0 6] and H = |2 1 7 [4 5 1 [5…

A: We want to perform the matrix operations FE and EF

Q: 5. Identify and sketch the graph of the following equations in R°. (a) a2 +4y? + 22 – 8x + 16y – 2z…

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Q: 14. Briefly explain why || d || == || c || when d=axb and || a ||=1. a b d

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Q: Problem 2. Forward elimination changes Ar =b to a row reduced Rx=d. Suppose that the complete…

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Q: 2. Consider the function f(t) expressed in terms of unit step functions, f(t) = 5t2 U(t) - (5(t –…

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Q: Consider the 3 x 3 matrix A and the vector & e R³ given below 0 1 0 1 0 1 0 1 0 1 A = i = Prove that…

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Q: A. Let p(x) = 2x + 5x-3,m(x) = 2x- 1,and h(x) = Find: 1. (m-p)(x) 2. p(5)+ m(3)-h(1) +1 %3D x-2 3.…

A: A Given px=2x2+5x−3, mx=2x−1and hx=x+1x−2. 1 We have to find the m−px.…

Q: dy Find given x' +y =8.y. dx

A: Here we can use implicit differentiation for finding the value of dydx. For the purpose we need to…

Q: Give the VALUE only. No need to include the unit. * A chemical manufacturer sells sulfuric acid in…

A: We have Cx=100000+50x+0.0025x2 Now, the price is $100 per unit and production is of x units, then…

Q: By Gauss-lordan Method, solve the following system of linear equations. x+y+z+ w = 10 x- y+z-w = -2…

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Q: Problem 2. Forward elimination changes Ar=b to a row reduced Rx= d. Suppose that the complete…

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Q: 1. Draw the graph of the following relations and/or functions. Make sure that all "important" points…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x? ,y = 4.

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Q: Find volume of body bounded by z 0 from below and z 4- y from above inside y = x ,y = 4.

A: We have to find volume of region.