The graph below shows solution curves of the differential equation dy dx the labeled point. 4 1/3 =1--X 3 . Ау 2- Find an equation for the curve that passes through (1,0.5) X y =

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A: Given:  A=2001010000101002To find : Orthogonal matrix Q and Diagonal matrix D such that QTAQ=D.

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Q: so would it be vertical compression by a factor 1/7 down 2 or horizontal stretch by 7 down 2 ?

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A: This is the question of multi-variable calculus.

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Q: 2 Suppose that f(x, y) = √√16 - x² - y² at which {(x, y) | x² + y² ≤ 16}. tr=4 Then the double…

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Q: (a) Find the direction for which the directional derivative of the function f(x, y, z) = √√x² + y² +…

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Q: Given the sequence an 3n² + 7 n² + 8

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A: This is a problem of Topology.

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Q: (a) (i) Write down the finite difference equation corresponding to the three-dimensional partial…

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Q: D Question 15 What is the equation of a circle with center at (-8, -2) and r= 1? Ox-8)^2+tv-2)^2-2…

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Q: 1. 7,6238 into Babylonian

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Q: + -10 Figure 6 -5 A y + 5 -5 A' 5 10 X

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Q: 2) Determine the Fourier series expansion of the following signals. a) x(t) ==-∞ A(t− n)u(t − n) b)…

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Q: 6. A 20-ft-by-30-ft swimming pool is filled with water. The depth is measured at 5-ft intervals,…

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Q: Find the Laplace transform F(s) = L {ƒ(t)} of the function f(t) = (9 – t) (u₂(t) — u6(t))

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Q: 1 -5 -е (Г 6e-5tat + бе f,' 2e

A: We find required F(s) by using definition of Laplace Transform and by using graph.

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Q: Use graphical method in solving for the linear prog Maximize: Z = 3x + 2y Constraints: 2x + 3y ≤ 12…

A: To Solve: the LPP problem using Graphical method: Maximize z=3x+2y. Constraints:  2x+3y≤12. 2x+y≤8.…

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Q: Question 9 Use residues to show that Question 10 Use residues to show that 2π do 2 - cos 0 dx (x² +…

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