Q4. Using Lagrange's Interpolation method, determine the value of y if x is 13 from the following data X y 5 -1 10 20 15 40 20 60

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A: Given the equation of hyperbola:                                       y2-4x2=36.

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A: NOTE: As per guidelines, I can do only three parts of the question.

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Q: 4. Find the Fourier cosine series for the function: f(x)= 1 for 0 for 0<x< 1/12 1 2 <x<1

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Q: 5. Find an unit vector perpendicular to both vectors a(2, -3, 0) and b(0, 1, -2)

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Q: Q-5: Find an adjacency matrix and a graph representation for (V, E), the graph G V = {(0,0,0),…

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Q: Answer is incorrect.

A: Fx,y,z=xi^+yj^+zk^ S: x2+y2+z2=49 solution flux =∫∫∫divF dV divF=∂∂xx+∂∂yy+∂∂zz        =1+1+1…

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Q: Request explain the highlighted portion of the proof (I have not pasted the full proof)

A: According to your request, I try to explain the highlighted portion of the proof

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