MIT18_024S11_Pset4

MIT18_024S11_Pset4 - 14 refer to Apostol Volume I. 1 MIT...

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PSET 4 - DUE MARCH 3 1. B.63:3. First prove that f ( t ) is continuous on [0 , 1]. Then solve the stated problem.(6 pts) 2. 14.13:21 (5 pts) 3. 14.15:11 (5 pts) 4. Let f : R n R m be continuous. Prove the inverse image of any open set is open. That is, let U R m be open. Prove that f 1 ( U )= { x R n | f ( x ) U } is open. (Using ±, δ arguments will be helpful.) (6 pts) 5. 8.5:2,4 (8 pts) The problems from Chapter
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Unformatted text preview: 14 refer to Apostol Volume I. 1 MIT OpenCourseWare http://ocw.mit.edu 18.024 Multivariable Calculus with Theory Spring 2011 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms ....
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This note was uploaded on 01/18/2012 for the course MATH 18.024 taught by Professor Christinebreiner during the Spring '11 term at MIT.

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MIT18_024S11_Pset4 - 14 refer to Apostol Volume I. 1 MIT...

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