Suppose that a fire truck is parked in front of a building as shown in the figure. The beacon light on top of the fire truck is located 17 feet from the wall and has a light on each side. If the beacon light rotates 1 revolution every 2 2 seconds, then a model for determining the distance d, in feet, that the beacon of light is from point A on the wall after t seconds is given by d(t) = 17 tan (xt). Complete parts (a) through (e) below. Explain what this means in terms of the beam of light on the wall. Choose the correct answer below. O A. When the function is undefined, the light is shining on every point on the wall. O B. When the function is undefined, the light is not shining completely on the wall. O C. When the function is undefined, there is no light shining on the wall. D. When the function is undefined, the beam of light is shining on exactly one point on the wall. (c) Fill in the following table. (d) Compute differences. 0 d(0.1)-d(0) 0.1-0 0.1 = t d(t) = 17 tan (xt)| (Type integers or decimals rounded to four decimal places as needed.) 0.2 d(0.2) - d(0.1) 0.2-0.1 0.3 0.4 d(0.2)-d(0.1) 0.2 -0.1 and so on, for each consecutive value of t. These are called first d(0.1) - d(0) 0.1-0 d(0.3)-d(0.2) 0.3 0.2 (Type integers or decimals rounded to three decimal places as needed.) 17 ft A d(0.4)-d(0.3) 0.4-0.3 (e) Interpret the first differences found in part (d). What is happening to the speed of the beam of light as d increases? As d increases, the speed of the beam of light G
Suppose that a fire truck is parked in front of a building as shown in the figure. The beacon light on top of the fire truck is located 17 feet from the wall and has a light on each side. If the beacon light rotates 1 revolution every 2 2 seconds, then a model for determining the distance d, in feet, that the beacon of light is from point A on the wall after t seconds is given by d(t) = 17 tan (xt). Complete parts (a) through (e) below. Explain what this means in terms of the beam of light on the wall. Choose the correct answer below. O A. When the function is undefined, the light is shining on every point on the wall. O B. When the function is undefined, the light is not shining completely on the wall. O C. When the function is undefined, there is no light shining on the wall. D. When the function is undefined, the beam of light is shining on exactly one point on the wall. (c) Fill in the following table. (d) Compute differences. 0 d(0.1)-d(0) 0.1-0 0.1 = t d(t) = 17 tan (xt)| (Type integers or decimals rounded to four decimal places as needed.) 0.2 d(0.2) - d(0.1) 0.2-0.1 0.3 0.4 d(0.2)-d(0.1) 0.2 -0.1 and so on, for each consecutive value of t. These are called first d(0.1) - d(0) 0.1-0 d(0.3)-d(0.2) 0.3 0.2 (Type integers or decimals rounded to three decimal places as needed.) 17 ft A d(0.4)-d(0.3) 0.4-0.3 (e) Interpret the first differences found in part (d). What is happening to the speed of the beam of light as d increases? As d increases, the speed of the beam of light G
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose that a fire truck is parked in front of a building as shown in the
figure.
The beacon light on top of the fire truck is located 17 feet from the wall and
has a light on each side. If the beacon light rotates 1 revolution every 2
seconds, then a model for determining the distance d, in feet, that the
beacon of light is from point A on the wall after t seconds is given by
d(t) = 17 tan (xt).
Complete parts (a) through (e) below.
Explain what this means in terms of the beam of light on the wall. Choose the correct answer below.
O A. When the function is undefined, the light is shining on every point on the wall.
O B. When the function is undefined, the light is not shining completely on the wall.
OC. When the function is undefined, there is no light shining on the wall.
D. When the function is undefined, the beam of light is shining on exactly one point on the wall.
(c) Fill in the following table.
(d) Compute
differences.
0
d(0.1)-d(0)
0.1-0
0.1
=
t
d(t) = 17 tan (xt)|
(Type integers or decimals rounded to four decimal places as needed.)
0.2
d(0.2) - d(0.1)
0.2 0.1
0.3
0.4
d(0.2)-d(0.1)
0.2-0.1
and so on, for each consecutive value of t. These are called first
d(0.1) - d(0)
0.1-0
d(0.3)-d(0.2)
0.3 0.2
(Type integers or decimals rounded to three decimal places as needed.)
17 ft A
d(0.4)-d(0.3)
0.4-0.3
(e) Interpret the first differences found in part (d). What is happening to the speed of the beam of light as d
increases?
As d increases, the speed of the beam of light
G
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