Unformatted text preview: x = 1 . 5 and the function ϕ ( x ) in part ( ii ) to ﬁnd α correct to 5 decimal places. Check your answer using a change of sign test. 4. Sketch the graph of f ( x ) = x 4 + x3 . Now use Newton’s Method to ﬁnd each of the roots of the equation x 4 + x3 = 0 correct to 4 decimal places. 5. Sketch the graph of f ( x ) = x 5 + x3 . Now use Newton’s Method to ﬁnd the single root of the equation x 5 + x3 = 0 correct to 4 decimal places. 6. Consider the equation x 3x = 0 . What happens if we use Newton’s method to ﬁnd roots starting with any of x = 1 √ 3 ,1 √ 3 , 1 √ 5 ,1 √ 5 . ?...
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This note was uploaded on 03/07/2010 for the course GENERAL MA General Ma taught by Professor Not sure during the Spring '10 term at École Normale Supérieure.
 Spring '10
 Not Sure

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