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11 - Triangular gutter of maximum carrying capacity |
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12 - Cone of maximum convex area inscribed in a sphere |
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13 - Sphere cut into a circular cone |
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14-15 Ladder reaching the house from the ground outside the wall |
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16 - Light placed above the center of circular area |
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17-18 A man in a motorboat needs to catch a bus |
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19 Direction of the man to reach his destination as soon as possible |
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20-21 Width of the second corridor for a pole to pass horizontally |
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22 - Smallest cone that may circumscribe a sphere |
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23 - Sphere cut into a pyramid |
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24-25 Largest rectangle inscribed in a circular quadrant |
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26-27 Horizontal rod entering into a room from a perpendicular corridor |
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Problems in Caculus Involving Inverse Trigonometric Functions |
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37 - A ladder sliding downward |
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38 - Rate of rotation of search light pointing to a ship |
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39 - Rate of increase of angle of elevation of the line of sight |
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40 - Base angle of a growing right triangle |
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44 - Angle of elevation of the rope tied to a rowboat on shore |
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45 - Angle of elevation of the the kite's cord |
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46-48 Rate of rotation of the searchlight |
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49-51 Ship sailing east and turned N 30d E |
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52-53 Two cars traveling from the same point but going to different directions |
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55 - Greatest angle subtended by a picture |
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005 Components of a force in rotated axes |
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006 Components of a force in axes that are not perpendicular to each other |
