practice4b

practice4b - 18.02 PRACTICE MIDTERM#4B BJORN POONEN Please...

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Unformatted text preview: 18.02 PRACTICE MIDTERM #4B BJORN POONEN Please turn cell phones off completely and put them away. No books, notes, or electronic devices are permitted during this exam. Generally, you must show your work to receive credit. Name: Student ID number: Recitation instructor’s last name: Recitation time (e.g., 10am): (Do not write below this line.) 1 out of 14 2 out of 25 3 out of 11 4 out of 10 5 out of 40 Total out of 100 1) For each of (a)-(b) below: If the statement is true, write TRUE. If the statement is false, write FALSE. (Please do not use the abbreviations T and F.) No explanations are required in this problem. (a) (7 pts.) The 3-dimensional region T consisting of all ( x, y, z ) ∈ R 3 satisfying x 2 + y 2 + z 2 > 9 is simply connected. (b) (7 pts.) If the surface S is the Southern Hemisphere of the earth, oriented by choosing at each point the unit normal pointing into the sky (instead of into the earth), then the compatible orientation of the boundary of S is the westward direction along the Equator. 2) (a) (15 pts.) Using a systematic method (not just guessing), find a function2) (a) (15 pts....
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practice4b - 18.02 PRACTICE MIDTERM#4B BJORN POONEN Please...

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