This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: integer to the next, like the interval [3, 4]. Explain your reasoning. (5 points) b) For the larger root, make an initial guess x 1 . Use Newton's Method to find x 2 . Then write a formula for x 3 , but do not simplify. (5 points) 5) Explain how you would estimate cos(0.5) to within 0.001 using a calculator with no trig functions. (4 points) 6) Solve the differential equation dy dx = x + 1 e y , subject to the condition y (2) = ln 8. Solve your answer for y , a function of x . (4 points) Total points for this page: Extra Credit. Only 4 points, but give it a try if you want an A+: You are told that g ( x , y ) is a function of two variables, and you are given the two partial derivatives: g x = sin y + y 2 ( e x ) – 1 g y = x (cos y ) + 2 y ( e x ) + 2 y . Find all possible functions g . Hint: do something like antidifferentiation, but keep in mind that these are functions of two variables....
View
Full
Document
This note was uploaded on 12/04/2009 for the course MATH 29325 taught by Professor Zhu during the Spring '09 term at UC Davis.
 Spring '09
 Zhu
 Calculus, Taylor Series

Click to edit the document details