Which of the following equations is NOT an exact equation?| OA. (2x sin y + y)dx + (x² cos y + x)dy = 0 O B. dx- /2dy = 0 C. (xy − cos x)dx + (x² − 1)dy = 0 - cos y dx - (x sin y - y²)dy = 0 O E. OF. All of the Choices None of the Choices

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Q: Find Duf at P. f(x, y) = 3(1 + xy) ³/2; P(5,3); 1 = i+ /2 - √2

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Q: Define 1 1 + (−1)n-1 an = 1 - ln 2. 2 3 n Show that 1 an converges and determine its sum. n=1 +

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Q: 4. Find all the element of Z/8 that have order 8. Find all the elements of Z/9 that have order 9.…

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Q: A = NONE 1 [ 0 1 1 0 4 -3 1 -1 -2 -8 11 -3 0000 -1 1 5 3 6 -10 .୬.

A: First we find RREF(Row reduced Echelon Form) of matrix A. Then we find X such that AX=0 where  X=…

Q: 1 a) log 16 X = -4 c) log, 2x+log, 5=-1 b) log, 2 = x d) x = log, 625

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Q: Find Duf at P. ƒ(x, y, z) = 3x²y³ z³; P(1, − 1, 2); 2 1 u = = i + Duf = 2 -k 3 3

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Q: Which of the following equations is NOT an exact equation? O A. (2x sin y + y)dx + (x² cos y + x)dy…

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Q: The values for variables x, y, and z are: x = 1, y = 0, z = 1 Select the Boolean expression that…

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Q: Niki holds two part-time jobs, Job I and Job II. She never wants to work more than a total of 12…

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Q: 1.Find the eigenvalues and eigenvectors of the matrix [5 4 A 4 5 2 C 2 222

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Q: p = F, q = T, and r = T. Select the expression that evaluates to false. O¬q O qvr O qar Opvr

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Q: 1/sqrt(1) + 1/sqrt(2) + . . . + 1/sqrt(n) = sqrt (n) for n=1,2,3

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Q: For all x 1 we have

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Q: Selberg identity For n ≥ 1 we have

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Q: (d) Find the error bound E(n) for approximating da using Trapezoid rule with n = 10, n = = 20, and n…

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Q: (a) State the values of f(-3) and g(-2). R(-3) g(-2) = x = -2 4 2 -2- range 9 2 (b) Which is larger,…

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Q: lect the statement that correctly describes the argument below. →q V¬q - pvq O The argument is…

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Q: y²dy = x(x dy − y dx)e>

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