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Unformatted text preview: f ( x, y ) = x 2 + y subject to the constraint x 2 + y 2 = 1. (b) Using the method o Lagrange multipliers fnd the maximum value o the unction f ( x, y, z ) = x + 2 y + 3 z on the curve o intersection o the plane x-y + z = 1 and the cylinder x 2 + y 2 = 1. 6. [ 6 marks ] Find the limits o the ollowing sequences as n i (a) a n = 2 n + 5 5 n + 2 (b) a n = ln n e n (c) a n = n 1-e n 7. [ 8 marks ] Find the limits o the ollowing sequences: (a) b (-1) n +1 n B n =1 (b) r n + 1 n n =1 1 (c) b 1-5 n 4 n 4 + 8 n 3 B n =1 (d) b sin n n B n =1 MATHS 208 Assignment 3 Page 2 of 2...
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This note was uploaded on 10/17/2010 for the course DF aadd taught by Professor D during the Spring '10 term at Clayton.
- Spring '10