exam2sample2

# exam2sample2 - MATH 32B SECOND MAKE-UP MAY LAST NAME FIRST...

This preview shows pages 1–6. Sign up to view the full content.

MATH 32B SECOND MAKE-UP MIDTERM MAY 26, 2004 LAST NAME FIRST NAME ID NO. Please write clearly and legibly. There are four 20-point problems and four multiple choice problems worth 5 points each. To receive credit, you must circle your answer . DO NOT WRITE BELOW THIS LINE 1 5 2 6 3 7 4 8 TOTAL

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

View Full Document
2 PROBLEM 1 (20 Points) Use the mapping T ( u, v ) = ( u - uv, uv ) and the change of variables formula to compute i i R dx dy x + y where R is the shaded region . To receive credit, you must circle your fnal answer x+y = 8 4 x y 8 4 8 x+y = 4 y = x y = (1/2) x
3 PROBLEM 2 (20 Points) Calculate the line integral of F = a x, z, y A along the line segment from A = (2 , 1 , 1) to B = (0 , 0 , 1). CIRCLE YOUR ANSWER

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

View Full Document
4 PROBLEM 3 (20 Points) Find the path integral of f ( x, y ) = 1 + 9 xy along the parabola y = x 3 for 0 x 1. CIRCLE YOUR ANSWER
5 PROBLEM 4 (20 Points) Compute i i S F · d S where F = a- y, x, x 2 A and S is the portion of the paraboloid

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 / 7

exam2sample2 - MATH 32B SECOND MAKE-UP MAY LAST NAME FIRST...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online