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Activities Firefox Web Browser Aug 12 12:13 PM . Fin_$20_AUG 12_m & OF - Mozilla Firefox X Quizzes - MATH-2000-00 X Fin_$20_AUG 12_main class. X Meeting is in progress ) x Homework Help - Q&Afr X M Inbox (22,820) - amanroh x Messenger X + F -> CA A https://online.mun.ca/content/enforced/352731-80168.201903/Fin_$20_AUG 12_main class.pdf?_&d2\\SessionVal=6hG9DrrcxKN04noJO30n3EHsC III\\ HO FF A E 1 OF 1 - |+ Automatic Zoom MOGA > > (n6 + 1) 1/2 (o) arctan (n2 + 1 ) ) 4. Does the series )n n Inn converge absolutely, conditionally or diverge? 5. Find the interval of convergence of the power series. Check the end points. ( 2x - 5) n n=1 Vn 6. Use any method of your choice to find the first 4 terms (do + a12 + a2x2 + a323) of the Taylor series centered at x = 0 for the following functions (a) f(ac ) = ze2 13 (b) g(2) = 7 (2. + 1) 2 7. Show that the limit does not exist lim 7.4 (a,y) -(0,0) 24 + 594 8. Find all values of parameter a for which the function F(x, y) = eat sin(3y) satisfies the equation Fox + Fyy = 0. 9. Find all critical points of the function f(x, y) = x2 + 2xy2 - 2x and classify them. 10. Evaluate the integral by changing the order of integration 11. Let D be the region between the lines y = x/4 and y = 4x, where x E [0, 4]. Evaluate the integral 1 1, sin (2) dA 12. Use polar coordinates to evaluate the integral S Sp(x2 + y2)3/4dA, where D is a portion of the ring 1