Use the method of cylindrical shells to find the volume generated by rotating the region bound by the given curves about the specified axis. y = √x-1, y = 0, x = 5, about y = 3

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A: Note that : x2a2+y2b2-z2c2=1 represents a hyperboloid of one sheet.

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Q: b. Find the roots of √√√64 e¹.4i

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Q: 15√20 4π āy 8 dz (z² - 8z +36)3/2 S

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Q: he DE y = (2+y')x+ (y')².

A: Solution :-

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Q: Use Laplace transform to solve the partial differential equation: d²u du ди(x,0) , t> 0, 0<x<1,…

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Q: 1. C₁ (0) 2³ e-1/² dz

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Q: Test the given integrals for convergence. Choose two (2) items only. 4+ cos(x) (a) So dx (b) √o…

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Q: 3. Calculate the circulation of A=p coso ap+ z sino a: around the edge L of the wedge defined by 0≤p…

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Q: 2) Find the general solution of the DE y = (2+y')x+ (y)².

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Q: S Question When proving the limit lim(x²-3x + 4) = 2, and e > 0 is given, what is an appropriate…

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Q: Consider the function shown below. What type of function is shown in this graph? O A. density…

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂: r=2-2 sin (in red) and let R be the…

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