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Unformatted text preview: PSET 5 - DUE MARCH 10 1. 8.14:10 (6 points) 2. 8.17:6 - also prove f is not differentiable at (0, 0). (6 points) 3. 8.17:10 (6 points) 4. Let f : Rn Rm such that the inverse image of every open set is open. Prove f is continuous. (6 points) 5. Let f : Rn R be a linear transformation. Prove that Ta = f for all a Rn . (6 points) 1 MIT OpenCourseWare http://ocw.mit.edu 18.024 Multivariable Calculus with Theory
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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.
- Spring '11
- Multivariable Calculus