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Unformatted text preview: k = A/P , this may be rewritten as f ( r ) = (1 + r ) n (1kr )1 = 0 . Solve the equation f ( r ) = 0 when k = 100 and n = 360 by using Newton’s Method with starting value 0 . 01. 4 4. [10 points] A function f is given by the following table of values: x f ( x ) 2 1 2 2 4 (a) Find the Lagrange interpolating polynomial for this data. (b) Use this polynomial to estimate f (1 . 8). 5 5. [10 points] Let f ( x ) = sin π 6 x . Then f (0) = 0, f (1) = sin π 6 = 1 2 , f (2) = sin π 3 = √ 3 2 . Use Lagrange interpolation applied to the values f (0), f (1), f (2) to obtain an estimate for f (3 / 2) = sin π 4 = √ 2 2 ....
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 Spring '10
 CAREY
 Numerical Analysis, Newton’s method, Bisection Method, ordinary annuity formula, initial estimate p0

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