Provide a homotopic squared parameterization of side one o_1= [-1,1] x [-1,1], other than this, and use it to evaluate the integral 1 Sza - dz

Q: Question 2 Consider the vector function r(t) that has unit tangent vector T(t) = √1+5₁2(1,1,2t),…

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Q: Solve the following Linear Program using the Two-Phase Method: subject to maximise z= x₁ + 2x2 + x3…

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Q: _-_-7/57 = 1778 ++ (5)) pust

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Q: Let C be the boundary of the portion of the plane x+y+z=2 that lies in the first octant, oriented…

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Q: (10nt-n) -(10nt-n) 2j - [6 (10m² - 2 ) _ - (10 m²-n)] e -e-¡10nt.e x(t)=2 x(t) = −jle x (1) =…

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Q: A craftsman produces two products: floor lamps and table lamps. Production of one floor lamp…

A: labor material cost profit Floor lamps 70 210 395 table Lamps 50 190 345 availability 40…

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Q: Find the first 10 terms of the sequence an Its 9th term is Its 10th term is 1 an-1 and a₁ = 18.

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Q: Find the steady-state vector for the transition matrix. 56 H 21 X = 5-72-7 1/7 1/7

A: Given transition matrix is 57672717   To Find: The steady-state vector for the above matrix.

Q: xydx - (x^2+3y^2)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)dx + N(x,y)dy…

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Q: 9. Let F = (2xy, x² + e³², 3ye³z). A. Calculate Curl(F) B. If F = (2xy, x² + e³2, 3ye ³2) is a…

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Q: Plot the point -4 following are true. -79 given in polar coordinates, and find other polar…

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Q: 4. Complete the following for the set E: the upper semi-circular wedge made from the intersection of…

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Q: 1. Find the general matrix output in terms of a, b, c, and d of T(ax³ + bx² + cx+d) when T: P3 M22…

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Q: We now form a matrix Y consisting of the column vectors X₁, X2, X3 from question 1: -3 2 0 0 2 -3 0…

A: Consider the standard basis of R^3 , {e1, e2, e3}. By the given matrix,  Y(e1) = -3.e1+2.e2 Y(e2) =…

Q: 2. Solve: $1,475 0.06 [(1+0.06) 16

A: We have to find the value of

Q: solve by partial fraction method Y(z) = = -1 (z-3-1)

A: Given: yz=-1z-3-1 We have to solve by the partial fraction method.

Q: x' (t) = 2 1 -5 02 0 0 3 (t) 32 Then use it to find a solution satisfying the initial condition (0)…

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Q: Solve please

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Q: EX: Solve the ед. Ў+зу +2fy ht=zuct-)) , усо) =1

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Q: Consider the function - G with f(x + 4) = f(x). [a] Draw the graph of f(x) and also the graph of the…

A: C will be different one please repost it again mention the part

Q: Consider the initial-value problem y" + 4y = g(x) where y(0) = 1, y'(0) = 2 Jsinr 0 π/2 (a) Find a…

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Q: 1 Find the value of the integral 1₂ Determine whether the series ∞ dx 2 9x (ln(3x))² n=2 1 9n…

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

A: Solution of the system of Linear equations

Q: 3.9 ÿ₁ + 7ỷ₁ + 6y₁ + 4ỷ2 + 2y2 = 0, ÿ2 + 7y₂ + 6y2 + 3y₁ + 3y₁ = 0 2

A: Given That  3.9 y1¨+7y1˙ +6y1+4y2˙+2y2=0y2¨+7y2˙ +6y2+3y1˙+3y1=0 Transform the nonlinear equation to…

Q: Consider the function f: R → R defined by ƒ(x) = 1⁄2x³. a) b) By using definition, explain whether f…

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Q: 24. If the image of (2,6) after an anticlockwise rotation of a certain angle about the origin is (x,…

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Q: Find the y(t) if Y(s) = 3+1

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Q: Determine the line integral of a scalar function z = x cos y + ln(xy) where x(t) = t² and y(t) = 3 +…

A: Given function is z=xcosy+ln(xy) where x=t2, y=3+t Then function is converted into…

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A: Given differential equation is y'=(4x-3y+1)56+43 y(0)=0

Q: Exercise 8.1. Let G₁, G2, ..., Gn be a finite collection of groups. Prove that and only if each G;…

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Q: Evaluate with the partition I de by using the definition of Riemann integral f'(x) Pn = {1, fill in…

A: We have f(x)=x32⇒f'(x)=3x22 upper limit is 2 and lower limit is 1. Let the total subinterval is n So…

Q: For Matrices AA and AAT find eigenvalues and or the normal eigenvectors when -0. Then find Singular…

A: Given: A=1110   To find: Eigen values and orthonormal eigen vectors of ATA and AAT. To find: The…

Q: Let f(x) = 2x - 3 where 0 ≤ x ≤ 1. Expand f(x) in terms of the eigenfunctions of the Sturm-Liouville…

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Q: Let GZ16 × Z4. (i) Construct a surjective homomorphism : G→ Z8. (ii) What is ker()? (iii) Show that…

A: Given: G=ℤ16×ℤ4   (i.) To construct: A surjective homomorphism φ:G→ℤ8. (ii.) To determine: kerφ…

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Q: (c) y" + 25y = 0; y′(0) = 0, y(t) = 6

A: Solution to differential equation

Q: Prove that if an integer m has the same parity as an integer n, 5m + 7n is even.

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Q: According to the Divergence theorem fF.ds = , divFav Use the Divergence Theorem to find the total…

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Q: 2. cuts the curve at Q, such that Let ƒ be a continuous and differentiable Tunction in (x,, x.). If…

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Q: a) Rani invests RM X every six months into a fund that pays 12% compounded semi- annually. Find the…

A: Future value of ordinary annuity FV=R1+in-1i Where R is periodic payment, n is total period and  i…

Q: AABE = 11 in2, ABCE = 15 in2, ACDE = 11 in2, and ADAE = 9 in2. A solid slanted to the left has…

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Q: b) Let F(x,y) = (6+x²) 7+(1-2xy). Given C is a closed region formed along y = 0 and x² + y² = 4,…

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Q: Construct the difference table from the following data: X 41 51 61 71 81 91 101 y 45 64 80 92 105…

A: (i) construct the difference table from the following data X 41 51 61 71 81 91 101 Y 45 64 80…

Q: C: ) Find the value of •∞ 7ln(x) x5 187 Determine whether the series converges or diverges: 7 ln(n)…

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Q: Savanna needs to pick up gift bags for a party. She wants gift bags of different shapes, but they…

A: Given that the pink rectangle has perimeter 16.   To Find: which of the other shapes has the same…

Q: ) Compute the value of the following improper integral. If it converges, enter its value. Enter…

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Q: Use summation notation to write the sum. 0.4+ 1.6+ 6.4 + + 409.6 Σ n = 1 SERS-39E- DES SETE 150 MER…

A: Solution: Given, 0.4 + 1.6 + 6.4 + ... + 409.6