The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 96/(2 + x2 + y2), where T is measured in °C and x, y in meters. Find the rate of change of temperature with respect to distance at the point (1, 3) in the x-direction and the y-direction. (a) the x-direction 4 3 (b) the y-direction 4 X Need Help? Read It Show My Work °C/m °C/m

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 96/(2 + x2 + y2), where T is measured in °C and x, y in meters. Find the rate
of change of temperature with respect to distance at the point (1, 3) in the x-direction and the y-direction.
(a) the x-direction
4
3
Tab
aps Lock
68°F
Sunny
Esc
(b) the y-direction
4
Need Help? Read It
F1
!
Show My Work (Optional) ?
1
Q
A
F2
X
2
4
W
°C/m
S
°C/m
F3
#m
3
E
F4
D
K
$
4
F5
R
A
F
%
5
F6
T
G
DOLL
F7
A
6
Y
F8
&
7
30
H
00
U
F9
* 00
O
8
J
F10
(
9
K
F11
)
0
L
F12
O
P
PrtScr
90
{
Insert
+
[
=
11
4:44 PM
10/9/2022
Delete
Backspace
}
1
Er
Transcribed Image Text:The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 96/(2 + x2 + y2), where T is measured in °C and x, y in meters. Find the rate of change of temperature with respect to distance at the point (1, 3) in the x-direction and the y-direction. (a) the x-direction 4 3 Tab aps Lock 68°F Sunny Esc (b) the y-direction 4 Need Help? Read It F1 ! Show My Work (Optional) ? 1 Q A F2 X 2 4 W °C/m S °C/m F3 #m 3 E F4 D K $ 4 F5 R A F % 5 F6 T G DOLL F7 A 6 Y F8 & 7 30 H 00 U F9 * 00 O 8 J F10 ( 9 K F11 ) 0 L F12 O P PrtScr 90 { Insert + [ = 11 4:44 PM 10/9/2022 Delete Backspace } 1 Er
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