Let g(x,y,z) %3D Vx² +y² + z? Let S be the solid bounded by the spheres: x2+ y2 + z? = 1 and x2+y²+ z² = 4• %3D Consider the integral: / =

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Q: (a) +9)2 (22 + 9)2 + 1 dx x4 +1 T (b) %3D V2 (0)/ 8. dx (x2 +1)(x2 + 4) 6.

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A: (b) Given that, the function is fx=x3-4x2x+22. limx→-2fx=limx→-2x3-4x2x+22=-23-4-22-2+22=-240=-∞…

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Q: (-1)" Given: In(1+x) Σ n +1 if |x| < 1. n=0 1. Find the Maclaurin series for f(x) = x ln (1+ 5).…

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Q: 1. Given: 8(7.r- 4) (r+2)* -4x2 x(r+8)(r-2) (r+2)3 f(r) = with f'(x) = and f"(x)= (r+2)2' a. Find…

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