A person on a dock is pulling in at the rate of I m/sec a boat by means of a rope. The man's hands are 5 ft above the level of the point where the rope is attached to the boat. How fast is the measure of the angle of depression of the rope changing when there are still 10 m of rope out?
A person on a dock is pulling in at the rate of I m/sec a boat by means of a rope. The man's hands are 5 ft above the level of the point where the rope is attached to the boat. How fast is the measure of the angle of depression of the rope changing when there are still 10 m of rope out?
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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A person on a dock is pulling in at the rate of I m/sec a boat by means of a rope. The man's hands are 5 ft above the level of the point where the rope is attached to the boat. How fast is the measure of the angle of depression of the rope changing when there are still 10 m of rope out?
Transcribed Image Text:1) Find the second derivative of y = csc 2e cot 2 e.
2) Find the first derivative of y = sec¯1(3e²x)
dy
3) Determine the
dx
of :
In (x ² y) = x y
Give the hand sketches of each problem complete with the necessary labels.
4) Two corridors each 3 m wide intersect at 90 degrees. A ladder is being carried
horizontally along the corridor. Using trigonometric functions, determine the length of
the longest ladder in horizontal position while being carried that could make the turn in
that intersecting corridor?
5) A frameless painting with a size of 2 meters by 2 meters hangs on the side of a wall
where its bottom is 2 m from the floor. With the eye level of the observer being 1.5 m
from the floor, determine the horizontal distance of the observer' eye from the painting
that would give the best view.
6) A person on a dock is pulling in at the rate of 1 m/sec a boat by means of a rope.
The man's hands are 5 ft above the level of the point where the rope is attached to the
boat. How fast is the measure of the angle of depression of the rope changing when
there are still 10 m of rope out?
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