# Maxima and Minima Using 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
- 04-05 Stiffness and strength of timber beam
- 06-09 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
- 14-15 Ladder reaching the house from the ground outside the wall
- 16 - Light placed above the center of circular area
- 17-18 A man in a motorboat needs to catch a bus
- 19 Direction of the man to reach his destination as soon as possible
- 20-21 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
- 24-25 Largest rectangle inscribed in a circular quadrant
- 26-27 Horizontal rod entering into a room from a perpendicular corridor
- Length of one side for maximum area of trapezoid (solution by Calculus)

- Chapter 1 - Fundamentals
- Chapter 2 - Algebraic Functions
- Chapter 3 - Applications
- Chapter 4 - Trigonometric and Inverse Trigonometric Functions
- Maxima and Minima Using 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
- 04-05 Stiffness and strength of timber beam
- 06-09 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
- 14-15 Ladder reaching the house from the ground outside the wall
- 16 - Light placed above the center of circular area
- 17-18 A man in a motorboat needs to catch a bus
- 19 Direction of the man to reach his destination as soon as possible
- 20-21 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
- 24-25 Largest rectangle inscribed in a circular quadrant
- 26-27 Horizontal rod entering into a room from a perpendicular corridor
- Length of one side for maximum area of trapezoid (solution by Calculus)

- Problems in Caculus Involving Inverse Trigonometric Functions

- Maxima and Minima Using Trigonometric Functions
- Partial Derivatives

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