Suppose now that the person begins walking away from the light pole at a constant rate of 0.6 meters per second. Let 0 is measured in degrees. The light pole is still 2.7 meters tall, and the person is still 1.5 meters tall. The person begins walking away from the light pole with an intial distance of 3 meters. a. Which of the quantities in the problem are varying? Iheds b. Which of the quantities in the problem are fixed? 1 d s o h c. Write an expression for the distance of the person from the light pole, measured in meters, in terms of the number of seconds, t, since they began walking. d = 0.61 Preview 0.6t syntax ok d. Write an expression for the length of the person's shadow, measured in meters, in terms of the number of seconds, t, since they began walking. 0.6 - 1.5t 2.7 – 1.5 (0.6*1.51)(2.7-1.5) Preview syntax ok e. Using the tan d() or arctan d() functions, write the function rule for a function f which determines measure of the angle, 0, measured in degrees, in terms of the number of seconds, t, since the person began walking. f(t) = arctan(21) Preview arctan(2t) syntax ok f. Find the average rate of change of the of the angle measure, in degrees, relative to the ground with respect to time over each given interval. i. The first 5 seconds the person has began walking. Preview ii. From 5 seconds to 10 seconds since the person began walking. Preview iii. From 10 second to 15 seconds since the person began walking. Preview
Suppose now that the person begins walking away from the light pole at a constant rate of 0.6 meters per second. Let 0 is measured in degrees. The light pole is still 2.7 meters tall, and the person is still 1.5 meters tall. The person begins walking away from the light pole with an intial distance of 3 meters. a. Which of the quantities in the problem are varying? Iheds b. Which of the quantities in the problem are fixed? 1 d s o h c. Write an expression for the distance of the person from the light pole, measured in meters, in terms of the number of seconds, t, since they began walking. d = 0.61 Preview 0.6t syntax ok d. Write an expression for the length of the person's shadow, measured in meters, in terms of the number of seconds, t, since they began walking. 0.6 - 1.5t 2.7 – 1.5 (0.6*1.51)(2.7-1.5) Preview syntax ok e. Using the tan d() or arctan d() functions, write the function rule for a function f which determines measure of the angle, 0, measured in degrees, in terms of the number of seconds, t, since the person began walking. f(t) = arctan(21) Preview arctan(2t) syntax ok f. Find the average rate of change of the of the angle measure, in degrees, relative to the ground with respect to time over each given interval. i. The first 5 seconds the person has began walking. Preview ii. From 5 seconds to 10 seconds since the person began walking. Preview iii. From 10 second to 15 seconds since the person began walking. Preview
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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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![Suppose now that the person begins walking away from the light pole at a constant rate of 0.6 meters per
second.
Let 0 is measured in degrees. The light pole is still 2.7 meters tall, and the person is still 1.5 meters tall.
The person begins walking away from the light pole with an intial distance of 3 meters.
a. Which of the quantities in the problem :
varying?
Ihe d s
O O D O a
b. Which of the quantities in the problem are fixed?
1 d s e h*
O 0 0 o 0
c. Write an expression for the distance of the person from the light pole, measured in meters, in terms
of the number of seconds, t, since they began walking.
d = 0.6t
- Preview 0.6t syntax ok
d. Write an expression for the length of the person's shadow, measured in meters, in terms of the
number of seconds, t, since they began walking.
0.6 - 1.5t
2.7 – 1.5
(0.6*1.51)(2.7-1.5)
]▪ Preview
syntax ok
e. Using the tan d() or arctan d() functions, write the function rule for a function f which determines
measure of the angle, 0, measured in degrees, in terms of the number of seconds, t, since the person
began walking.
f(t) = arctan(2T)
Preview arctan(2t) syntax ok
f. Find the average rate of change of the of the angle measure, in degrees, relative to the ground with
respect to time over each given interval.
i. The first 5 seconds the person has began walking.
Preview
ii. From 5 seconds to 10 seconds since the person began walking.
Preview
iii. From 10 second to 15 seconds since the person began walking.
Preview](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2810685e-1eeb-461a-9149-0ef27d84930f%2F658fa59e-4f5f-4dac-8064-efccb115628b%2Fjlizpd_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose now that the person begins walking away from the light pole at a constant rate of 0.6 meters per
second.
Let 0 is measured in degrees. The light pole is still 2.7 meters tall, and the person is still 1.5 meters tall.
The person begins walking away from the light pole with an intial distance of 3 meters.
a. Which of the quantities in the problem :
varying?
Ihe d s
O O D O a
b. Which of the quantities in the problem are fixed?
1 d s e h*
O 0 0 o 0
c. Write an expression for the distance of the person from the light pole, measured in meters, in terms
of the number of seconds, t, since they began walking.
d = 0.6t
- Preview 0.6t syntax ok
d. Write an expression for the length of the person's shadow, measured in meters, in terms of the
number of seconds, t, since they began walking.
0.6 - 1.5t
2.7 – 1.5
(0.6*1.51)(2.7-1.5)
]▪ Preview
syntax ok
e. Using the tan d() or arctan d() functions, write the function rule for a function f which determines
measure of the angle, 0, measured in degrees, in terms of the number of seconds, t, since the person
began walking.
f(t) = arctan(2T)
Preview arctan(2t) syntax ok
f. Find the average rate of change of the of the angle measure, in degrees, relative to the ground with
respect to time over each given interval.
i. The first 5 seconds the person has began walking.
Preview
ii. From 5 seconds to 10 seconds since the person began walking.
Preview
iii. From 10 second to 15 seconds since the person began walking.
Preview
Transcribed Image Text:Let 0 is measured in degrees. The light pole is still 2.7 meters tall, and the person is still 1.5 meters tall.
The person begins walking away from the light pole with an intial distance of 3 meters.
a. Which of the quantities in the problem are varying?
I h 0 d s
O O O O -
b. Which of the quantities in the problem are fixed?
1 d s e h.
O 0 0 o 0
c. Write an expression for the distance of the person from the light pole, measured in meters, in terms
of the number of seconds, t, since they began walking.
d
• Preview
3+0.6t
d. Write an expression for the length of the person's shadow, measured in meters, in terms of the
number of seconds, t, since they began walking.
3/4(5+1)
Preview
e. Using the tan d() or arctan d() functions, write the function rule for a function f which determines
measure of the angle, 0, measured in degrees, in terms of the number of seconds, t, since the person
began walking.
f(t) = arctan(d)(2/(5+t))
Preview
f. Find the average rate of change of the of the angle measure, in degrees, relative to the ground with
respect to time over each given interval.
i. The first 5 seconds the person has began walking.
-2.1
Preview
ii. From 5 seconds to 10 seconds since the person began walking.
-0.74305
Preview
i11. From 10 second to 15 seconds since the person began walking.
Preview
Enter a mathematical expression more.
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