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 Fundamentals
 Algebraic Functions
 Applications

Trigonometric and Inverse Trigonometric Functions
 01 Rectangle of maximum perimeter inscribed in a circle
 02  Cylinder of maximum convex area inscribed in a sphere
 03  Heaviest cylinder that can be made from a shot
 0405 Stiffness and strength of timber beam
 0609 Trapezoidal gutter of greatest capacity
 10  Largest conical tent of given slant height
 11  Triangular gutter of maximum carrying capacity
 12  Cone of maximum convex area inscribed in a sphere
 13  Sphere cut into a circular cone
 1415 Ladder reaching the house from the ground outside the wall
 16  Light placed above the center of circular area
 1718 A man in a motorboat needs to catch a bus
 19 Direction of the man to reach his destination as soon as possible
 2021 Width of the second corridor for a pole to pass horizontally
 22  Smallest cone that may circumscribe a sphere
 23  Sphere cut into a pyramid
 2425 Largest rectangle inscribed in a circular quadrant
 2627 Horizontal rod entering into a room from a perpendicular corridor
 37  A ladder sliding downward
 38  Rate of rotation of search light pointing to a ship
 39  Rate of increase of angle of elevation of the line of sight
 40  Base angle of a growing right triangle
 44  Angle of elevation of the rope tied to a rowboat on shore
 45  Angle of elevation of the the kite's cord
 4648 Rate of rotation of the searchlight
 4951 Ship sailing east and turned N 30d E
 5253 Two cars traveling from the same point but going to different directions
 55  Greatest angle subtended by a picture
 Length of one side for maximum area of trapezoid (solution by Calculus)
 Trapezoidal gutter made from 24 m wide iron sheet
 Partial Derivatives