DouglasGarrett_MTH320_Wk 1_ Engineering Applied Exercise 1.7

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Mechanical Engineering

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Oct 30, 2023

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Estimated partial derivatives using finite diff h 0.01 -176162.781116000 -12994.066789200 0.001 -14320.437600800 0.0001 -13115.543649200 Question 1 af/ay derivative is more accurate, you can see the chart above. Question2 finite difference approx. to ∂f/∂x exact ∂f/∂x I think it is less accurate because its infinite line is horizontal. This natu has a much shorter angle of defection from its asymptote. So as "h" ch think of are the gears in a transmision and the imput shaft speed. Th syncro inside the transmission has to move th
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fference formulas: 240.550022975 239.852639893 239.922738557 239.859653358 finite difference approx. to ∂f/∂y exact ∂f/∂y urally makes it harder to approach its asymptote. While the other is vertical and hanges it can get closer faster than the other can. One real world example I can he imput shaft speed is constantly changing but the next gear is stationary. The he gear to match the speed before it meshes together.
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