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Problem 5.2

6 November, 2015 - 16:37
The relationship between x and y is given by xy=\textrm{sin }y+x^2y^2. (a) Use Newton’s method to find the nonzero solution for y when x=3. Answer: y=0.2231 (b) Find dy/dx in terms of x and y, and evaluate the derivative at the point on the curve you found in part a. Answer: dy/dx=-0.0379 Based on an example by Craig B. Watkins.