AB5_Lab03_AmandaHeikes - changing the numeric values until...

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Amanda Heikes 1. The spreadsheets of Slides 4-6 are an example of a numerical solution to a problem. The algebra of Slide 7 produces an analytical solution to the same problem. With these examples in mind, discuss the difference between a numerical and an analytical solution. Include comment about your answer to the question in Slide 6. Would you say that the solution to the problem posed on Slide 11 is numerical or analytical? A numerical solution to a problem gives you the answer in numeric form. It doesn’t necessarily explain how you got the answer or what it means. In Slide 7 for example, they give you the algebra needed to explain why your answer works. There is logic behind it that allows for your understanding of the answer beyond just the number. In Slide 6, we did not understand the work behind what we were doing; we just started
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Unformatted text preview: changing the numeric values until the fraction of ice below the surface was equal to the density ratio. Slide 11 gives you both the analytical solution and the numeric solution. The equation is posted to give you the understanding behind the numeric expression and the numeric solution is also given. 6. Find out who Airy was, and why he hypothesized that mountains have roots. Was this before or after Mohorovicic discovered the crust? George Airy was a British scientist in the nineteenth-century. He thought that the mountains must have roots because he concluded that there was a low-density crustal root that had less mass overall than a mountain range underlain by dense mantle and that is why there was less pull on his plumb bob. This was before Mohorovicic discovered the crust....
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This note was uploaded on 04/07/2008 for the course GEOL 103 taught by Professor Stewart during the Fall '07 term at University of Illinois at Urbana–Champaign.

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