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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Section 1 ,number 1-4 & 3-6

Transcribed Image Text:►PROBLEMS, SECTION 1
1.
2.
3.
4.
5.
6.
If u = x²/(x² + y2), find Ju/0x, du/dy.
If st", find əs/at, 08/0u.
If z = ln √u² + v² +w², find əz/au, dz/dv, dz/dw.
For w=a³y³ - 2xy + 6, find a2 w/0x² and 2 w/y² at the points where
Əw/dx = Əw/y = 0.
For w=8a¹ + y - 2xy², find ² w/8² and 0w/y² at the points where
дw/дх= дw/ду = 0.
For u = e cos y,
(a) verify that 0²u/dxdy = ²u/əyəx;
(b) verify that 0²u/0x² +0²u/0y² = 0.

Transcribed Image Text:3.
4.
5.
6.
7.
8.
- Lume
If u =
Hint:
Use L'Hôpital's rule to evaluate lim -
1-2 z
= f* sindt, find
Use differentials.
2x-3y du
In u
If
cos sin t
If w=
-
dt, find
ay
If ["e-t
find
=z and u"
dsmu, find
da
da
du
A4
ди ди
Әх' ду da
=y, find
w dw
дх' ду 8x
and
sin t
and at z = π/2, y = π.
du
da
at z = 3, y = 1.
du
dy
dt.
1
a
and
Əy
da
at u = 2, v=0.
Expert Solution
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