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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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