Unformatted text preview: starting with an “integer” guess. 7) Use Newton's method to find ) 1835 ( log 6 to 25 decimal places starting with an integer guess. 8) Graph the butterfly parametric curve given by x = r(t) cos t, y = r(t) sin t for 0 < t < 2 π where r(t) = e 2 cos(4 t). You can make this much fancier by adding to r(t) the term sinand graphing to 24 π which is desired. 9) Graph the butterfly parametric spacecurve given by x = r(t) cos t, y = r(t) sin t and z(t) = r(t) for 0 < t < 2 π where r(t) = e 2 cos(4 t). You can make this much fancier by adding to r(t) the terms ) 24 ( cos 2 1 ) 12 ( sin 3 5 t tand graphing to 48 π which is desired. 10) Graph the butterfly parametric surface given by x(t, s) = (r(t) cos t)*s , y(t, s) = (r(t) sin t)*s and z(t, s) = r(t)*(1 + ) 24 ( cos 24 t )*s for 0 < t < 48 π and 0 < s < 1 where r(t) is as in problem 9....
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 Spring '08
 Ken
 Numerical Analysis, Derivative, Taylor polynomial PK

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