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Unformatted text preview: h Please write next to each one of the following 5 statements TRUE or FALSE. Note that they are independent of each other. There is no limit on the number of TRUE statements. No need to justify your answers. , (a) Every two lfnes that are not parallel, always determine. exactly on~ plane. ~ (b) a x (a x b) ~nd b x (a x b) are parallel. Y IV ,;1/ (c) There exists a Taylor series that converges at x = 1 and x = 2 but diverges for x = O. ~ (d) If a Taylor series converges at x = 5, then the radius of convergence for that series is +.-->L '- at least 5. / (e) There exist a Taylor series that converges at no point. ye . : : : ; l L i }t, 0<:. (-I )k.. \( .\>I(.r-\ L . ~,,:! )1, . C-I\I<- 9" '- [ 0 (,.'(. ~ 2: - ¥ ~~ x G:: 2. Find the center, the vertice(s), the focus (or foci) of the following conic section, Deter- mine what kind of conic section it is, i.e if it is an ellipse, a parabola or a hyperbola: 4X2 - 8x - y2 + 6y- 1 = O....
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This note was uploaded on 02/09/2010 for the course M 408d taught by Professor Sadler during the Fall '07 term at University of Texas.
- Fall '07
- Multivariable Calculus