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AddendumtestIIIc2 - modelled by a cubic curve(i.e a a 1 x a...

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Addendum David Howard 4 March 2009 This question is due at the start of Class tomorrow Thursday March 5. You may work together but you may not ask any members outside of our class 1501B1/B2/B3. Additionally, the write up for the question must be ON YOUR OWN, no other member in class may look over or copy any part of your write-up. Any cheating found on this assignment will be considered cheating on the test and I will report you to the Office of Student Integrity. The use of calculators is allowed (though you don’t need them), but SHOW YOUR WORK!!!. 1. (20 points) Here is the scenario: A theme park director, Ms. Ivana Bigpark is building a new roller coaster.
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Unformatted text preview: modelled by a cubic curve (i.e. a + a 1 x + a 2 x 2 + a 3 x 3 = P ( x )). She has four points in space that she says the roller coaster must go through: (1 , 6); (2 , 1); (3 , 2); (4 ,-3). She would normally ask Professor Vandermonde in such cases however he is on safari in Tanzania (The Serengeti) and is unreachable. She needs this polynomial so that she can pass the information onto the builders and she heard that you may be able to help her. Are you up to the challenge of finding this cubic polynomial? (No credit will be awarded for just saying yes or no.) 1...
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