Solve the system Ax = b with /1 1 4 A = 2 0 2 ; b=4 (19) 0 3 3 3. by Gaussian elimination a. No pivot b. With partial pivot Find the LU factorization of A.

Q: Evaluate Szdz where y traces the arc of the parabola y = x² from (1,1) to (2,4).

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Q: What is the equation of this function, based on a parent function of cos(x)? 3 4 ㅠ 2 ㅠ 4 O -2 -4 -6…

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Q: and let F = (-₂ (−²+₂ + x)² i + (tan¯¹y)j + ( x + ₁ + ²) k 4+z Find the value of (VX F).ndo.

A: Given information and theorem:

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A: Please refer to the solution in next step.

Q: Please provide rationale for each step. 12. Prove that the rings Z3[x]/ and Z3[x]/ are…

A: To  proof  this  result  ,we  need  an  important  result  that  we  recall  first .Result:  Let  R…

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Q: Find the area of the region enclosed by y = x² 2x and y=x on [0, 4].

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Q: Find the Inverse Laplace Transform

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A: (.)  Given matrix is ,         A =    1   4 5-1-4 1   0   2 4   1   6 4   1   6 8 (.) Gram Schmidt…

Q: 5.10 Use "double polar" coordinates defined by the equations x₁ = r cos 0, X2 = r sin 0, X3 = p cos…

A: x1=rcosθx2=rsinθx3=ρcosφx4=ρsinφ

Q: Evaluate dr (1+*²)² by the residue theorem: So [#].

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Q: 5 =/ (2.3)-+3.z')

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Q: 49. Show that the function f(x) = y=x² + 3 is continuous for x # 1, 2. Then compute the right- and…

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Q: Solve the third-order initial value problem below using the method of Laplace transforms. y'"' +…

A: y'''+4y''-15y'-18y=-108y0=9y'0=4y''0=62

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Q: Find the determinants in Exercises 35-40, assuming that la b BH d e f = 4 18 h a + 2g 40. 3d2g 8 b +…

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Q: Problem 2 (a) Find the second degree Taylor polynomial T₂(x) of the function f(x) = eª cos 2x…

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Q: Evaluate by the residue theorem: cos e de [.

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Q: z = x² + y², x= 3.0cm±2%, y = 4.0cm ± 2% 1+

A: z=x2+y2  x=3.0     y=4.0 ∆x=2%=0.02    ∆y=2%=0.02

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Q: Evaluate by the residue theorem: So sin 22 da 1+2²

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Q: 41 Compute the determinants in Exercises 7-15 using cofactor expansion along any row or column that…

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Q: A = (a) (b) 0 0.6 0 0 = 0 0.45] 0 0.7 0.95 % of the subadults survive to become adults. (c) Compute…

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