HW3 - value oF x that produces the point on the graph oF y...

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Math 151A HW #3, due on Friday, January 26 - Reading: section 2.3. - Problems: 2.3, #2 Let f ( x ) = - x 3 - cos x and p 0 = - 1. Use Newton’s method to fnd p 2 . Could p 0 = 0 be used ? 2.3, #4(a) Let f ( x ) = - x 3 - cos x . With p 0 = - 1 and p 1 = 0, fnd p 3 using the Secant method. 2.3, #6(a) Use Newton’s method to fnd solutions accurate to within 10 - 5 For the problem: e x + 2 - x + 2 cos x - 6 = 0 For 1 x 2 . Repeat the last problem using the Secant method. 2.3, #13 Use Newton’s method to approximate, to within 10 - 4 , the
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Unformatted text preview: value oF x that produces the point on the graph oF y = x 2 that is closest to (1 , 0) (hint: minimize d ( x ) 2 , where d ( x ) represents the distance From ( x, x 2 ) to (1 , 0)). 2.3, #14 Use Netwons method to approximate, to within 10-4 , the value oF x that produces the point on the graph oF y = 1 x that is closest to (2 , 1). IF needed, codes can be Found on the class webpage. 1...
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This note was uploaded on 10/28/2010 for the course MATH 151a taught by Professor Staff during the Spring '08 term at UCLA.

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