Verify Green's Theorem by evaluating both integrals y2 dx + x2 dy = dA ду ax for the given path. C: boundary of the region lying between the graphs of y = x and y = x2 y2 dx + x2 dy = Ne, dA = ду

Q: f(2.3) of the following table by using Finite differences is 1 3 4 5 y 3 34 115 270 523 53.8580 a…

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Q: 9. Which is true for a nonempty subset S of R? * If S is nonempty and sup S exists, then S is…

A: We want to find true option.

Q: 2. Determine the volume generated about y-4 the area boun ded bay ×キの x and x?ty =3 メ %3D

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Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS: F(t) = for…

A: Fourier series expansion of the function

Q: 1. Let x These vectors form a basis for W = Span{u,, u2, U3}. (a) Find an orthogonal basis for W.…

A: Given vectors are x1=1111x2=0220x3=-1000

Q: 1. y" + y = 0

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Q: what is the symmetric difference ? And give examples

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Q: 3. Which of the following is always true for any real nur O For real ɛ > 0, if x-yl s &, then x = y…

A: 3. For 1st option: let  x = y + ∈ then |x-y| ≤ ∈ but  x ≠ y So option 1 is incorrect. For 2nd…

Q: 1arorm Let f be a function defined for t 20. Then the integral is said to be the Laplace transform…

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Q: QUESTION 1 Find the particular solution for the differential equation dy x2-3 = 2(y + dx dy dx'…

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x3/2 from (0, 0) to (4, 8)

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Q: dx2 dx dy + 4x dx 3. Solve the Cauchy-Euler equation x2 d²y + 2y = e*. 4. Evaluate L(sint - cos t)2.…

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Q: Transform the following equations into a system of first order equations. u" + 0.5u' + 2u = 0

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Q: 1. Solve by D operator method d?y dy -2y +y x2e3% dx2 dx Solvo hu

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Q: 8 Given the matrix G = -4 and do =| Then do and d, are G – conjugate if di is given by

A: Conjugacy:  Let G∈ℝn×n be a symmetric and positive definite matrix. We say that the vectors x,…

Q: Find an equation of the plane. the plane that passes through (8, 0, -1) and contains the line x = 5…

A: The equation of plane through a point and contains a line

Q: Consider the function f(x)=7x³ – 8x + 4. Find the solution of the equation f(x)=0, within 10-6,…

A: The function given is as follows: fx=7x3-8x+4 Differentiate the above equation. f'x=21x2-8 The…

Q: 8 9 -s 0 -1 0 2|-9 2 92 A = Find A21.

A: This is a problem of linear transformation.

Q: Q4) Find for the following functions (choose five only): dx 1. y = 2 +etr-1 2. y = sec x tan x 3. y…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: 2y-x = x + 3y + e', 3x' - 4y' = x – 15y + e- |

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Q: What is the maximum total weight of a Hamiltonian Circuit, starting from vertex A in the given…

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Q: The system is a two-dimensional coordinate system in which each point on a plane is determined by a…

A: We need to fill the blanks with suitable words. Since it is a theoretical question, so…

Q: ax d?y Solve by method of variation of parameter dy = ex sin x. dx | dx2 Solve the Cauchy Eulo

A: solving question 2 as mentioned

Q: references of both individuals be given by log(Ci) + ¿ log(C2). Suppose that ndowment vectors are wA…

A: Sol

Q: Select the statement that is the converse of "If I had a hamm the morning." O If I didn't have a…

A: We know the converse of  statement "if p then q" is "if q, then p."

Q: 1. Solve by D operator method d?y 2y+y = x²e 3x. dy dx2 dx So

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Q: 13 14 6 8 -1 13 2 5 16 11 9 Example 4.4. Using the partition method, find the inverse of A = 7 3 9.

A: We need to use partition method to find an inverse of matrix A.

Q: Find: 2. fx³jo(x)dx

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Q: In a particular Insurance Life Office, employees Smith, Jones, Williamson and Brown have 'A' levels,…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A line passes thru (5, 11) and cuts a right triangle with the coordinate axes in the first quadrant…

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

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Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

A: Sol

Q: I REPEAT. TYPEWRITTEN ONLY ANSWERS DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. DO THIS TYPEWRITTEN…

A: This is a problem of tracing areas and counting.

Q: ments is defined as N(a+bV2) = |a^2 ^2].Prove that for every a, bER (b 6= 0)it is sible to find q,…

A: Sol

Q: Use the Solovay-Strassen test to show that 7739 is composite.

A: Given Number is 7739 To show that 7739 is composite using the Solovay-Strassen test. Euler…

Q: Q3) A) If you have three functions: f(x) = x² -x g(x) = 3x- 1 w(x) = x - 2 So, find gof (x) and…

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Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t)= for…

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Q: Reduce the quadratic form x2+y²-9xy into a canonical form of the matrix.

A: The given equation is x2+y2-9xy. The standard equation is ax2+by2+cz2+2fyz+2gzx+2hxy. The…

Q: Verify each equation, and express each left member in terms of t: 9. T. p +3 ((p+3)² +1] +1 =T P+2]…

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Q: Show that {zn}nEN is Cauchy, where z, = sint dt. 1+t

A: Sol

Q: Find the volume of the curve r = 2+ 3sinθ for 0 ≤ θ ≤ π rotated about a. x - axis b. y - axis

A: 1st we will derive formula for volume of rotation for polar curve about x and y axis  Using relation…

Q: erential equation: an y = x2. If y(0) e value (corrected up fy(1)?

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Q: Find the eigenvalues A1 < Ag and associated orthonormal eigenvectors of the symmetric matrix -5 -5 3…

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Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

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Q: A triangle is inscribed in an ellipse whose equation is 9x2 + 16y2 - 216x - 320y + 2320 = 0. One…

A: Given that,A triangle is inscribed in an ellipse whose equation is 9x2+16y2-216x-320y+2320=0One…

Q: In three dimensions the equation x² + y? = 1 represents a Similarly, the equation y +z = 1…

A: We will answer this question by analysing figures given in the question

Q: Find the laplace transform of cos at using the formula L{f (t)} | e"f (t) dHencefind the laplace…

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Q: Solve the laplace transforms for: 5 0 <t<2 F(t ) = -3 2 <t<6 t26

A: Suppose Ft=50&lt;t&lt;2-32&lt;t&lt;60t≥6To find: Laplace transform of the function F.Since,…

Q: A Hippogriff is a magical beast that had the front legs, wings, and head of a giant eagle and the…

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Q: d?y 20+y = x²e3x. dy Solve by D operator method dx2 dx

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