{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

practice3a

# practice3a - 18.02 PRACTICE MIDTERM#3A BJORN POONEN Please...

This preview shows pages 1–4. Sign up to view the full content.

18.02 PRACTICE MIDTERM #3A 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 15 2 out of 25 3 out of 15 4 out of 20 5 out of 25 Total out of 100

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1) For each of (a)-(c) 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) The region in R 2 defined by | y | < x 2 + 1 is simply connected. (b) If C is a positively oriented simple closed curve enclosing a region R , and F is a continuously differentiable vector field defined on all of R 2 , and C F · n ds < 0, then div F < 0 at some point of R . (c) If F ( x, y ) := ( x sin y ) i + (5 x + e 2 y ) j , then div F = (sin y ) i + (2 e 2 y ) j .
2) Let F ( x, y ) = 2 y 2 , 5 . Let R be the solid triangle with vertices (0 , 0), (1 , 0), and (0 , 1).

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 8

practice3a - 18.02 PRACTICE MIDTERM#3A BJORN POONEN Please...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online