Find the flux of the vector field F(x, y, z) = (y z, y, æz) across the surface S, where S is the boundary of the rectangle given by -1< x < 1, –1< y<1, – 1

Q: Lét Y C R² be the set {(x, y)|0 < x < 1,0 < y <1 and y E Q if x # 0} endowed with the dictionary…

A: Given that  Y⊂R2 be the set x,y; 0≤x≤1, 0≤y≤1 and y∈Q if x≠0 So, the set Y can be written as,…

Q: Flwy)=メーメ]+2g2 +2y2 has 3 critical points : (X, Y;), (Xz,,(Xg, Yp) where XiL X2 LX3

A: Given question from several variable and we have to find critical points of given function.

Q: Consider the figure A(1,1,0) D B(-1,-1,-1) C(2,2,0) a) Determine the coordinates of D if ABCD is a…

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Q: Lin early exPand the in lefendent Set x+1, 2x3 to asface base PUR ficla R Hint PoLIR The natural…

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Q: a) ВА b) Determinant of AT c) cofactors(B) Where [3 2 0 0 5 4 7 0 1 A =|1 3 1 0 0 10 3 85 Lo 1 0 1…

A: We have to find the value of (a) BA, (b) determinant of AT and (c) cofactors(B)

Q: Use two iterations of N-R method to solve

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Q: (-1)" Given: In(1+ x) Σ if x| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: -3î + (4 + m)j – k ,č = -9î + 12j – (3 + m)k , ,Q %3D (5 + т,4,0 + m) аnd P %3 (-1,4 + т, —3). Find:…

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Q: Write the scalar equation of the plane with normal vector i = [1, 2, 1] and passing through the…

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Q: What is the expansion of 1 f (x) = %3D Ο Σε' Σ 2n 2n Σ Next

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Q: (0) If lan diverges and (an Converges, n=1 (a) An Converges absolutely. n=D1 (b) Y An Converges…

A: We will get the conclusion by using the definition of a conditionally Convergent Series.  Option (b)…

Q: Problem Set 3.1. Verify the following differential equation if exact or not, if exact find the…

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Q: 4.x – 6 Let f(x) = 1- - (2x – 3)³* (a) Find the Taylor series representation for f about x = 1.5…

A: This is a problem of Taylor's Theorem.

Q: Which of the following is/are axiom/s in projective geometry? I. All the points of the plane belong…

A: We have to determine which of the following is axiom of projective geometry.

Q: 8. 10. Define the series > az in terms of its partial sum, if possible. If not possible, explain…

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Q: 1. Consider the function f(x) = x' -4on the interval [-2,2]. Calculate the Riemann sum using: a. n=…

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Q: 3) Evaluate numerically the derivative of f(x)= x.sin(x) - 1/x² at x = 0.7 with h = 0.01. Use the…

A: Given: The function, fx=xsinx-1x2.   To evaluate: The derivative of the given function at x=0.7 with…

Q: a) Establish/Prove the following: Given the inexact differential equation M(x, y) dx+ N(x, y) dy =…

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Q: Which of the following is true? * If A = {x: x |B| Option 4 Option 3 |A| < ]B[ ]A| = |B| Option 2…

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Q: : 2 < x < 4} and B = {x € R : –4 < x < 1}. Prove

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Q: Give 2 examples of geometric problems that can be solved using the parametric equations of a line…

A: Given clear explanation below

Q: Convert the spherical coordinates (4, 3'6, to cylindrical coordinates.

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Q: Determine the power series expansion (in sigma notation) of the function f (z) = sin z at z = 0 (2n)…

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Q: Given: In(1 + x) = En=0 50 (-1)" xu+1 if |x| < 1. n+1 1. Find the Maclaurin series for f(x) =…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: トン メ+??-9 zy +3=8 4X -3y =-2 Ans / X=1 ウ-2?こ4

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Q: given function using Bisection Method F(x)= x^4 + 5x^3 - 16x^2 - 2

A: Introduction: The division technique is an associate approximation technique for locating the roots…

Q: ) 3ri - 512- 370rs ] Let T: R³ → R“ be the linear transformation given by (E)-| 2811 — 19г2 — 132гз…

A: Given: A linear transformation T:ℝ3→ℝ4given by:…

Q: 3. Let X be a set. Call a subset A C X to be finitely complemental if its complement is either…

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Q: 4х - 6 2. Let f(x) 1- (2х — 3)3 a. Find the Taylor series representation for f about x = 1.5 that is…

A: We have to find the Taylor series.

Q: a subspace of V? Assume that V has the standard operations. W is the set of all functions that are…

A: Subspace of a vector space

Q: 1. Approximate the following integrals using the Trapezoidal rule. c0.5 a. dx 1.5 x Inx dx c. 2x dx

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Q: Given A,B and C required to prove that A\(B\C)=(A\B)U(A∩B∩C)

A: Given  A, B, C are any three sets  We have to prove  A\(B\C)=(A\B)U(A∩B∩C)    Let X be unversal set…

Q: QI: Use two iterations of G-S method to solve the linear system. 10x +y +z = 15.4 2x + 7y + z = 21.6…

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Q: Determine the coefficient of the 5th term of the Maclaurin series expansion of f (r) = cos a 12 10!

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Q: Given this: C 1 2 3 4 5 P 15 JK 6 7 8 9 10 11| 12 A B F M 13 R V 14 16 17 18 19 20 21 22 23 24 25 0…

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Q: Solve the differential equation with appropriate method, Finalize answer equated to y. y'= 2xy -X

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Q: The net price of an item after trade discounts of 16%, 9.5%, and 1.5% is $1,722.23. a. What is…

A: Given:   The net price of an item after trade discounts of 16%, 9.5%, and 1.5% is $1,722.23.

Q: Find if possible the limit of the following sequence: k x[k] = ,k = 1, 2, 3, ... The limit is (Type…

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Q: (b) Using limits, show that r = -2 and y = r – 8 are linear asymptotes of the graph of f.

A: (b) Given that, the function is fx=x3-4x2x+22. limx→-2fx=limx→-2x3-4x2x+22=-23-4-22-2+22=-240=-∞…

Q: Find the directional derivative Duf(P) of f(x, y, z) = x²y?z²at the point P(1, 2, 3) in the…

A: We have to find the directional derivative of f(x,y,z).

Q: Q4: Solve the following O.D.E: (xy)ý = (x2 + y²) with the initial condition y(1) = 1, on the…

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Q: Sketch a graph of y 4. 3. 2- -5 -4 -3 -2 -1 2 3 4 5. -2- -3 -4- -5 Clear All Draw: Question Help:…

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Q: Delermhe , whether the follawng vector fiebds ae conservative. are, find poential funchion. b)…

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Q: Prove ONE of the follow sin x+ cos 2x-1 tan x %3D a) cos x-sin 2x

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Q: 1 + s(s + 2) F(s) s[(s + 2)2 + 2]

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Q: State whether each of the following series converges absolutely, conditionally, or not at all. sin…

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Q: A plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). Find a parametric…

A: Given that a plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). We find a…

Q: Solve the differential equation with appropriate method, Finalize answer equated to y. dy/dx =…

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Q: Evaluate the line integral | H. dř; Ħ = e" î + [xe" + In(z)] ĵ + 22 k, and C is the path defined by

A: Given that  H→=eyi^+xey+lnzj^+2yzk^      (1)  and r→=t,1,1, t∈0,1                (2)      from…

Q: 4. Any non-empty set A and its power set P(A) do not have the same cardinality (i.e. there exists no…

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