# MATH 1321-004 Homework #7 1 Assignments 2

```MATH 1321-004 Homework #7
due 2013-MAR-18, 11:35 a.m.
1
2
Assignments
Directions
Problem &sect;11.8-21 illustrates the importance of ∇g 6= 0
as the condition of applying the method of Lagrangian
multiplier.
For problems of &sect;12.2, what properties of double in&sect;11.8: 3, 5, 7, 11, 19, 21
tegral could simplify the calculations?
Extra credits: Additional 25% credits will be given
&sect;12.1: 1, 3, 5, 7, 9, 11, 13, 17
to you if you typeset your solutions in LATEX. You can
&sect;12.2: 1, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 27, 29, also get partial extra credit for typesetting solutions of
35, 37
some problems.
From those of you who uses LATEX, I will select a
Extra credit
winner and base the released solution on her/his LATEX
source. The criteria will be
– &sect;11.8: 45, 46,
(i) correctness,
– &sect;12.1: 18,
(ii) number of extra credit problems finished,
– &sect;12.2: 31, 36, 40
All numbers below refer to the textbook:
Calculus Concepts and Contexts, J. Stewart, 4th Ed.
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(iii) the logical flow.
Boldfaced problems weigh 2 points each and all other
problems 1 point each. A random subset of the assigned
The homework winner will get another 25% extra
problems with a total of 25 points will be graded.
credit.
1
```