Learning Task 5: Analyze the given problens. Sketch the figure of the described situation in each problem and then solve. 1. Determine the equation of a tangent line perpendicular to the line 2x + 2y = 2, for a curve y- 2ln(3x}. 2. The Guinahoan Lighthouse has a revolving light. It turns at a rate of 3 revolutions per minute. If the light is situated 1/2 kilometers from the straight beach, how fast does the spotlight from the beam moving along the beach when it is 1.5 kilometer from point of the beach nearest the light. 3, A light on the ground at the Mercado's building is 30 meters away from the building. Mr. Rodrigo is 2 meters tall. He walks from the light to the building at 1 meters per second. How fast is the ahadow of Mr. Rodrigo on the building changing when the man is 15 me- ters from the building?
Learning Task 5: Analyze the given problens. Sketch the figure of the described situation in each problem and then solve. 1. Determine the equation of a tangent line perpendicular to the line 2x + 2y = 2, for a curve y- 2ln(3x}. 2. The Guinahoan Lighthouse has a revolving light. It turns at a rate of 3 revolutions per minute. If the light is situated 1/2 kilometers from the straight beach, how fast does the spotlight from the beam moving along the beach when it is 1.5 kilometer from point of the beach nearest the light. 3, A light on the ground at the Mercado's building is 30 meters away from the building. Mr. Rodrigo is 2 meters tall. He walks from the light to the building at 1 meters per second. How fast is the ahadow of Mr. Rodrigo on the building changing when the man is 15 me- ters from the building?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
Learning task 5. Answer #2 and #3 only
![Learning Task 4: For you to fully master this module, analyze and solve the given
problem.
1. For y-ln2x, determine the equation of a tangent line parallel to 2x-
3y+1-0,
2. On the wall of Mr. Piamonte'a house, a picture was hung in 6 me-
ters high, so that its location is 5 meters above an observer's eye.
How far should the observer stand from the wall so that the angle
subtended by the picture at the eye shall be maximum?
3. Herrera's ship is 70 kilometers due north of Arias' fiahing vessel in
a noon of a certain day. The ship sails east at 12 kilometers per
hour and the fishing vessel sails west át 8 kilometers per hour,
how fast is the distance betwee them changing 4 hours later?
CLMD
Learning Task 5: Analyze the given problems. Sketch the figure of the described
situation in each problem and then solve.
1. Determine the equation of a tangent line perpendicular to the line
2x + 2y = 2, for a curve y- 21n(3x).
2. The Guinahoan Lighthouse has a revolving light. It turns at a rate
of 3 revolutions per minute. If the light is saituated 1/2 kilometers
from the straight beach, how fast does the spotlight from the beam
moving along the beach when it is 1.5 kilometer from point of the
beach nearest the light.
3. A light on the ground at the Mercado's building is 30 meters away
from the building. Mr. Rodrigo is 2 meters tall. He walks from the
light to the building at 1 meters per second. How fast is the ahadow
of Mr. Rodrigo on the building changing when the man is 15 me-
ters from the building?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc89434ef-34a9-4c31-8222-a13e3887374c%2F2bef371d-6fd1-42d3-a3bc-bfbb165c2492%2Fojq9k0r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Learning Task 4: For you to fully master this module, analyze and solve the given
problem.
1. For y-ln2x, determine the equation of a tangent line parallel to 2x-
3y+1-0,
2. On the wall of Mr. Piamonte'a house, a picture was hung in 6 me-
ters high, so that its location is 5 meters above an observer's eye.
How far should the observer stand from the wall so that the angle
subtended by the picture at the eye shall be maximum?
3. Herrera's ship is 70 kilometers due north of Arias' fiahing vessel in
a noon of a certain day. The ship sails east at 12 kilometers per
hour and the fishing vessel sails west át 8 kilometers per hour,
how fast is the distance betwee them changing 4 hours later?
CLMD
Learning Task 5: Analyze the given problems. Sketch the figure of the described
situation in each problem and then solve.
1. Determine the equation of a tangent line perpendicular to the line
2x + 2y = 2, for a curve y- 21n(3x).
2. The Guinahoan Lighthouse has a revolving light. It turns at a rate
of 3 revolutions per minute. If the light is saituated 1/2 kilometers
from the straight beach, how fast does the spotlight from the beam
moving along the beach when it is 1.5 kilometer from point of the
beach nearest the light.
3. A light on the ground at the Mercado's building is 30 meters away
from the building. Mr. Rodrigo is 2 meters tall. He walks from the
light to the building at 1 meters per second. How fast is the ahadow
of Mr. Rodrigo on the building changing when the man is 15 me-
ters from the building?
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