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Next: Math 103 Up: Homework Previous: Math 103

Math 103 -- Homework #7

Due: Friday, Oct. 15, 1999

Textbook problems first shown Wednesday:

page 841:
5, 6, 7, 17, 34

Other problems first shown Wednesday:

1.
If $T(36^\circ, 79^\circ)=81^\circ F$, $T_x(36^\circ, 79^\circ)=4^\circ F/{}^\circ long.$,$T_y(36^\circ, 79^\circ)=5^\circ F/{}^\circ lat.$, in Durham, then what are the approximate values of $T(36^\circ, 78^\circ)$ (Rocky Mount), $T(35.5^\circ, 78^\circ)$ (Goldsboro), $T(35^\circ, 79^\circ)$ (Fayetteville), $T(35.5^\circ, 78.5^\circ)$ (Smithfield), and $T(35.5^\circ, 77.5^\circ)$ (Greenville)? Which of these approximations is likely to be the least accurate? Why?

Problems first shown Friday:

page 851:
3, 7, 9, 11, 15, 19, 25, 33, 35

Problems first shown Wednesday:

pages 861-862:
9, 15, 19, 27, 31, 33, 50, 51
Extra Credit:
Page 861, numbers 35-38.


Reading assignment for Friday:

Section 13.8, pages 853-861.

Questions on reading for Friday, Oct. 8:

What theorem justifies referring to the graph of F(x,y,z)=0 as a ``surface''?

Reading assignment for Wednesday:

Section 13.10, pages 873-877 (the rest of the section is optional)

Questions on reading for Wednesday, Oct. 13:

What sort of saddle point does the graph of f(x,y)=6xy2-2x3-3y4 have?

Students in the 11:50 class who got their test handed back without a total on it need to add up their total and let me know what it is so that I can double-check it with the totals I have.

Reading assignment for Friday:

Section 13.9, pages 863-870.

Questions on reading for Friday, Oct. 15:

Why are the Lagrange multiplier problems in Examples 1 through 4 somewhat unusual?


next up previous
Next: Math 103 Up: Homework Previous: Math 103
Joshua Holden
12/5/1999