Obtain the Legendre transformation and its inverse from the following function: f(x,y)=10xy-3x^2+6y^2

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Q: 1-The following table gives the vertical displacement of the wrist and the associated times. Time 0…

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Q: Evaluate ſç(2x + z², − 3y + x, 6z − 4y) · ds where S is a sphere of radius R=3 and center the axes…

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Q: 2. Show that: 3(m, n) = 3(n, m) 3(m, n) = √ zm-1 (1+z)m+n 8(n,₁ n) = 2√¹²²(t-1²)n-1 dt dz

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Q: Question #6 For polynomial P(x) = 4x4 — 12x³ + 29x² −22x+5, please do the following. a) list all…

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Q: Use (1 + x)" =1+ Σ k=1 Maclaurin series for (a) (b) (c) 1 1+x √1 1+x (1+x) ³ m(m-1)... (m-k+1)* if…

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Q: Question #5 For polynomial P(x) = 15x³ + 14x² − 3x − 2, please do the following. a) list all…

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Q: Question 4 A linearised graph of y against x² is given below and the line passes through the origin…

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Q: 7. fn(2)= =1,0 ≤ x ≤ 1. Evaluate lim + x n→+∞0 fn. What limit result is/are applicable? [0,1]

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Q: (C) On their exam, you ask your students the following question: "What is the purpose of finding a…

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Q: 1. Determine whether the following series converge or diverge. State the test or series used for…

A: The given series, a) ∑n=1+∞n39+n6 b) ∑n=1+∞3!n-1!2! n!n c) ∑n=1+∞9-n2-3n d) ∑n=1+∞1ne e)…

Q: ould be either true or false). ample: THER dogs bark OR cows croak. TRUE V FALSE ANSWER: TRUE (A…

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Q: Sketch the graph of y = f(x) with emphasis on concavity. Label all the intercept points, relative…

A: Substitute some random values of x and obtain the values of fx. x fx -5 -2.08 -2 0 -1 0.25…

Q: calculate MN and TN for the value of N indicated.

A: The given integral ∫14dxx, N=6 We have to find the values of Mn and Tn.

Q: Definition: A vector space is called the direct sun of W₁ and W2, denoted by V W₁ W2, where W₁ and…

A: Assume V = W1⊕W2 Let v be an element in V.  Since V = W1 + W2 there exists x1  ∈ W1 and x2  ∈ W2…

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Q: The spherical equation ¢ = π/2, the cylindrical equation z = 0, and the rectangular equation z = 0…

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Q: Determine whether the following series converges. 00 Σ (-1)k+1 Ink k² k=1 Let ak > 0 represent the…

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Q: 8. IF UP Diliman is in Quezon City, THEN Mt. Mayon is in Naga, Camarines Sur. 9. IF the green house…

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Q: QUESTION 2 For the function f (x, y) = (3x - 5y2) 5 +exy, find f (x,y) 180(3x - 5y2) 3+ y²exy O15…

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Q: Solve the system of differential equations -β α -β α -βα α -β α -β -β α -β α d -u = dt α -β u

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