32 RELATED RATES TUTORIAL 32 d0 when the angle is TC radian ? top of the ladder and the wall changing, dt 8 m wall ground

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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31. no1 do like example 10 solution

32 RELATED RATES
TUTORIAL 32
top of the ladder and the wall changing, at
8 m
0.
wall
ground
Transcribed Image Text:32 RELATED RATES TUTORIAL 32 top of the ladder and the wall changing, at 8 m 0. wall ground
32 LATED4TES
Example 10:
do
changing.
when the angle is radian?
dt
10 m
wall
ground
Solution:
dw
do
2,
= ?, 0 =
dt
dt
cos 6
%3D
10
= 10 cos 0
dw
- 10 sin 0
d0
dw
dt
d0
do
%3D
dt
dw
1
- 2 x
10 sin 0
1.
5 sin
= 0.283 radian/sec
Alternative Method:
cos e
10
do
- sin e
dt
1 dw
10 dt
I do
sin
4 dt
1.
10 (-2)
1
dt
5 sin
4.
%3D
0.283 radian/sec
Transcribed Image Text:32 LATED4TES Example 10: do changing. when the angle is radian? dt 10 m wall ground Solution: dw do 2, = ?, 0 = dt dt cos 6 %3D 10 = 10 cos 0 dw - 10 sin 0 d0 dw dt d0 do %3D dt dw 1 - 2 x 10 sin 0 1. 5 sin = 0.283 radian/sec Alternative Method: cos e 10 do - sin e dt 1 dw 10 dt I do sin 4 dt 1. 10 (-2) 1 dt 5 sin 4. %3D 0.283 radian/sec
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