Unformatted text preview: imum, we Fnd that c 1 = 61 . 25, so we could Fnd c 2 by the averaging method of Problem 81. Alternatively, we could use the ±it command in Mathematica to Fnd both c 1 and c 2 simultaneously as follows: data = {{ , 79 . 1 } , { 62 , 70 . 2 } , { 123 , 52 . 3 } , { 184 , 43 . 4 } , { 224 , 52 . 2 } , { 285 , 70 . 1 }} ; ±it[data, { 1, Cos[2 ∗ Pi ∗ t / 365] } , t] The result is the formula T ( t ) = 62 . 9602 + (17 . 437)cos µ 2 πt 365 ± . The values predicted by this function at the six dates in question are [approximately] 80 . 4, 71 . 4, 53 . 9, 45 . 5, 49 . 8, and 66 . 3. Not bad, considering we are dealing with weather, a most unpredictable phenomenon. The graph of T ( t ) is shown next. Units on the horizontal axis are days, measured from July 15. Units on 11...
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 Spring '11
 CHENG
 Calculus, Algebra, Optimization, Mathematical analysis, Command pattern, Leonhard Euler

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