Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D is bounded by y = 1 - x² and y = 0; p(x, y) = 11ky m = (x, y) =

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Q: 3) Calculate by means of the logarithm: a) x¹+2log x= 100.x log x b) log(x+2)+log(x-7) = 2.log (x-4)…

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Q: 4. Solve the difference equation Yn+25Yn+1 +4yn = n² with initial conditions y(0) = 2, y(1) = -1.

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A: Ques 1 : (a) -0.253 (b) 1.328   Ques 2 : 1→b2→c3→e4→a5→fExplanation:

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Q: (5.) Let u(x, y) = ln(x² + y²) (a. (c. State the domain of u: Determine lim f(x, y) (x,y) →(1,0)…

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Q: #3: Solve the initial value problem y"-4y - 12y = 0, y(0) = 1, y'(0) = -1

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Q: 6. Find an equation for the line tangent to the graph of f(x)=−5xex at the point (a,f(a)) for a=1

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Q: 18.2 Well water having a total hardness of 300 mg / L as CaCO , is softened by split treatment . A…

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