Determine the eigenvalues and eigenvectors of the following matrix: 10 -6 12 -8 Enter the eigenvalues (and corresponding eigenvectors) in the order A₁ A₂. Separate the coordinates the vectors by commas. A₁ = A₂ = V₁ = ( V2

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Q: Find all Max., Min., saddle point for the function below: f(x, y) = x²³²+ 3xy ² - 15 x + y ² - 15 y

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Q: 1. Given the following matrices: 0 11 A = 10 0 1 4- Evaluate a. [(AC) BT] - DT. b. [(BD) TCT]A ¹2 3…

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Q: Find d(u, v), if u = (2, -4,2,-1,-6) and =(4,-6, 2,-1,-6).

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Q: is it divergent, convergent or absolutely convergent?

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Q: f(x,y) = 3x-2y. R: the circle x² + y²

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Q: fe²x+Inx² sin x² dx = +√e²x cos x² dx

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Q: 10. Prove that 7/2 75/2. sin 0 cos (cos a cosec 8) de 10 T 2 (1-cos a).

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Q: QUESTION 3 Three years ago, Pete took out a loan of $55,000. The loan was taken out for 10 years…

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Q: h 1/27 (5 fn+1 +8fn - fn-1) Xn+1 = Xn + Discuss its local truncation error O(hP+1)

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Q: Example 10.21. Given y' : x(x² + y²) ex, y(0) = 1, find y at x = 0.1, 0.2 and 0.3 by Taylor's series…

A: Here, we need to use Taylor's series method and Milne's method.

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Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

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A: Equation for elliptic hyperboloid of one sheet with center (0,0,0) is  x2a2+y2b2-z2c2=1

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Q: Q3): A robot arm with a rapid laser scanner is doing a quick quality check on holes drilled in a…

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Q: Consider the following matrix: 3 4 0 8 0 7 0 4 A=0 2 0 3 0201 3 4 0 10 0 70 6, (a) Find a basis for…

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Q: Q2): A polluted lake has an initial concentration of a bacteria of (1*10' part/m³), while the…

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Q: Find d(u, v), if u = (2, -4,2,-1,-6) and = (4, -6, 2,-1,-6). OA√93-√61 O B. √300 OC √73 OD V8 4 O E…

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Q: 6 Find all Max., Min., saddle point for the functions below: 3 f(x,y) = x ²³ + 3xy ² - 15 x +…

A: Given: f(x,y) = x3+3xy2-15x+y3-15y

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A: Newton Method:-  so the value if y at x=5.00 is 6.28 inch

Q: GGQ. VII. Consider the function f that satisfies the following: . f is continuous everywhere except…

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