Use Newton's method to approximate a root of the equation 3x' + 6x + 3 = 0 as follows. Let a1 = 2 be the initial approximation. The second approximation x2 is and the third approximation ¤3 is (Although these are approximations of the root, enter exact expressions for each approximation.)

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ISBN:9780470458365
Author:Erwin Kreyszig
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Use Newton's method to approximate a root of the equation 3x' + 6x + 3 = 0 as follows.
Let a1 = 2 be the initial approximation.
The second approximation x2 is
and the third approximation x3 is
(Although these are approximations of the root, enter exact expressions for each approximation.)
Transcribed Image Text:Use Newton's method to approximate a root of the equation 3x' + 6x + 3 = 0 as follows. Let a1 = 2 be the initial approximation. The second approximation x2 is and the third approximation x3 is (Although these are approximations of the root, enter exact expressions for each approximation.)
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