3. Use cylindrical coordinates to compute the integral Z !!! √x² + ² dv D where D is the solid bounded above by the plane z = 3 and below by the surface 3z = x² + y².

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim -0+2 x

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Q: 1. Verify that dF dt F.G(t) + F(t).. dG dt for the following functions F(t) = (2t)i−5j+(t²)k and…

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. a = 14 b = 28…

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Q: 1. Find the work done by the force F(x, y, z) = (y² − z²)i +2yzj — x²k on an object moving along the…

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Q: 2. Use polar coordinates to evaluate IT cos(x² + y²)dy dx. 0 0

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Q: 12.15. Illustrate the Division Algorithm for: d. a = -8, 6 = 96 e. a = 22, b = -17 f. a = -22, b=…

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Q: 3. Find and classify all the critical points for the function f(x,y)=4+x³ +y³ − xy

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Q: 1. Find the following limit lim (x,y) →(0,0) 1-cos(2x² + 2y²) x² + y²

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Q: Let f(x, y) = cos(x-3y) and P= the function f at the point P. N/E 23 Find the maximum rate of change

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