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. (a) Graph d(t) = 17 tan (xt) for 0≤t≤2. Choose the correct graph below. OA. O B. Ad(t) 504 40 30- 20- 10- 0- 0 Q Q Ad(t) 50- 40- 30- 20 10- (c) Fill in the following table. 0- 0 2 O C. Ad(t) t 0 0.1 0.2 0.3 0.4 d(t)-17 tan (xt) ------ 1 (Type integers or decimals rounded to four decimal places as needed.) 50- 40- 30- 20- 10- 0+ 0 (b) For what values of t is the function undefined? Select the correct choice below and fill in the answer box to complete your choice. (Type an expression using k as the variable.) OA. {tit= k is an odd integer OB. {tit= k is an even integer Explain what this means in terms of the beam of light on the wall. Choose the correct answer below. OA. When the function is undefined, the light is shining on every point on the wall. OB. 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. OD. When the function is undefined, the beam of light is shining on exactly one point on the wall. M OD. Ad(t) 50- 40- 30- 20- 10+ of 0 NOO Q 17 ft A Assess
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. (a) Graph d(t) = 17 tan (xt) for 0≤t≤2. Choose the correct graph below. OA. O B. Ad(t) 504 40 30- 20- 10- 0- 0 Q Q Ad(t) 50- 40- 30- 20 10- (c) Fill in the following table. 0- 0 2 O C. Ad(t) t 0 0.1 0.2 0.3 0.4 d(t)-17 tan (xt) ------ 1 (Type integers or decimals rounded to four decimal places as needed.) 50- 40- 30- 20- 10- 0+ 0 (b) For what values of t is the function undefined? Select the correct choice below and fill in the answer box to complete your choice. (Type an expression using k as the variable.) OA. {tit= k is an odd integer OB. {tit= k is an even integer Explain what this means in terms of the beam of light on the wall. Choose the correct answer below. OA. When the function is undefined, the light is shining on every point on the wall. OB. 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. OD. When the function is undefined, the beam of light is shining on exactly one point on the wall. M OD. Ad(t) 50- 40- 30- 20- 10+ of 0 NOO Q 17 ft A Assess
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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Question
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.
(a) Graph d(t) = 17 tan (xt) for 0 st≤2. Choose the correct graph below.
A.
OB.
Ad(t)
50-
40
30-
20-
10-
0+
0
1
Q
Ad(t)
50-
40-
30-
20-
10-
0-
00.1
0
0.2
1
0.3
Q
Q
G
0.4
BEER
OC.
t
d(t)-17 tan (xt)
(Type integers or decimals rounded to four decimal places as needed.)
Ad(t)
Explain what this means in terms of the beam of light on the wall. Choose the correct answer below.
OA. When the function is undefined, the light is shining on every point on the wall.
OB. 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.
OD. When the function is undefined, the beam of light is shining on exactly one point on the wall.
(c) Fill in the following table.
50-
40-
30-
(b) For what values of t is the function undefined? Select the correct choice below and fill in the answer box to complete your choice.
(Type an expression using k as the variable.)
OA. {tit=
k is an odd integer
OB. {tit= k is an even integer
20-
10-
0-
0
Q
Q
(3)
OD.
Ad(t)
50-
40-
30-
20-
10-
0
0
H
V
#
1
THIS
Q
17 ft A
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