situation. and tell whether it is application on logarithmic function, inverse trigonometric function or related rates. 1. For y-in2x, determine the equation of a tangent line parallel to 2x-3y+1=0. 2 On the wall of Mr. Piamonte's house a 6 meter picture was hung so that it

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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Learning Task 3: Analyze the given problems. Sketch the figure of the given
situation. and tell whether it is application on logarithmic function, inverse
trigonometric function or related rates.
1. For y=in2x, determine the equation of a tangent line parallel to 2x-3y+1=0.
2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung 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 fishing vessel in a noor
of a certain day. The ship sails east at 12 kilometers per hour and the fish
ing vessel sails west at 8 kilometers per hour, how fast is the distance be
tween them changing 4 hours later?
Transcribed Image Text:Learning Task 3: Analyze the given problems. Sketch the figure of the given situation. and tell whether it is application on logarithmic function, inverse trigonometric function or related rates. 1. For y=in2x, determine the equation of a tangent line parallel to 2x-3y+1=0. 2. On the wall of Mr. Piamonte's house, a 6 meter picture was hung 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 fishing vessel in a noor of a certain day. The ship sails east at 12 kilometers per hour and the fish ing vessel sails west at 8 kilometers per hour, how fast is the distance be tween them changing 4 hours later?
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