-18 [7] B -10 -17/9 18 2.0 -10/9 Find the coordinates of in the basis B = {ã,6}. Your answer will be an approximation. 2,0 18 Hint: The preview shows the picture of with the coordinates you provide.

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Q: a) Let p=13. Compute L2(3) b) Show that L2(11) = 7.

A: Here concept of field is used.

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A: We shall use the basic inequality of logarithms.

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Q: Part II. Writing the equation d² dt2 in the form of the system d dt X = U, X = x³ + x², x = x(t), dv…

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Q: The system of first order differential equations 3/₁ = − 4y1 + 5y2 +1 y2 = 5y1 - 4y2 + 1 where y₁…

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A: We have to find .

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Q: 3. Suppose that A, B C R2. (a) If A and B are homeomorphic, are A and B homeomorphic? (b) If A and B…

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A: We shall count this using basic mathematics.

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Q: Sex²+y² dxdy R= {(r,0): 0≤ r ≤ 2, 0≤ 0 ≤ 2}

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Q: vector field in the plane,

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Q: Find the inverse Laplace transform f(t) = ¹ {F(s)} of the function F(s): = 120 85 50 | 5

A: We need to find the inverse Laplace transform of the function .We know that, if , then .We know that…