44 - Angle of elevation of the rope tied to a rowboat on shore
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40 - Base angle of a growing right triangle
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39 - Rate of increase of angle of elevation of the line of sight
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38 - Rate of rotation of search light pointing to a ship
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37 - A ladder sliding downward
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Problems in Caculus Involving Inverse Trigonometric Functions
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26-27 Horizontal rod entering into a room from a perpendicular corridor
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24-25 Largest rectangle inscribed in a circular quadrant
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23 - Sphere cut into a pyramid
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22 - Smallest cone that may circumscribe a sphere
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20-21 Width of the second corridor for a pole to pass horizontally
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19 Direction of the man to reach his destination as soon as possible
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17-18 A man in a motorboat needs to catch a bus
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16 - Light placed above the center of circular area
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14-15 Ladder reaching the house from the ground outside the wall
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13 - Sphere cut into a circular cone
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12 - Cone of maximum convex area inscribed in a sphere
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11 - Triangular gutter of maximum carrying capacity
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10 - Largest conical tent of given slant height
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06-09 Trapezoidal gutter of greatest capacity
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04-05 Stiffness and strength of timber beam
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03 - Heaviest cylinder that can be made from a shot
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02 - Cylinder of maximum convex area inscribed in a sphere
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01 Rectangle of maximum perimeter inscribed in a circle
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Maxima and Minima Using Trigonometric Functions
15 years 6 months ago
Chapter 4 - Trigonometric and Inverse Trigonometric Functions
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37-38 How fast a ship leaving from its starting point
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35-36 Time Rates: Lengthening of shadow and movement of its tip in 3D space
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33-34 Time Rates: A car traveling east and airplane traveling north
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31-32 Train in an elevated track and car in perpendicular road
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30 - Two trains in perpendicular railroad tracks
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28-29 Time Rates: Two cars driving on roads that intersects at 60 degree
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26-27 Time Rates: Kite moving horizontally
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25 Two cars that may collide at 12:30 PM
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Why we ask for your donation?
15 years 6 months ago
22-24 One car from a city starts north, another car from nearby city starts east
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19-21 Two cars driving in parallel roads
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17-18 Rate of shadow in the wall of a building
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15-16 Movement of shadow from light at eye level
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13-14 Water flowing into trapezoidal trough
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11-12 Two trains; one going to east, and the other is heading north
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10 - A boy on a bike
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08-09 Rate of movement of shadow on the ground
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06-07 Ladder slides down the wall
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04-05 Water flowing into triangular trough
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03 Water flowing into rectangular trough
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01-02 Water flowing into cylindrical tank
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Time Rates | Applications
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Chapter 3 - Applications
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Solution to Problem 675 | Midspan Deflection
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