24-25 Largest rectangle inscribed in a circular quadrant |
23 - Sphere cut into a pyramid |
22 - Smallest cone that may circumscribe a sphere |
20-21 Width of the second corridor for a pole to pass horizontally |
19 Direction of the man to reach his destination as soon as possible |
17-18 A man in a motorboat needs to catch a bus |
16 - Light placed above the center of circular area |
14-15 Ladder reaching the house from the ground outside the wall |
13 - Sphere cut into a circular cone |
12 - Cone of maximum convex area inscribed in a sphere |
11 - Triangular gutter of maximum carrying capacity |
10 - Largest conical tent of given slant height |
06-09 Trapezoidal gutter of greatest capacity |
04-05 Stiffness and strength of timber beam |
03 - Heaviest cylinder that can be made from a shot |
02 - Cylinder of maximum convex area inscribed in a sphere |
01 Rectangle of maximum perimeter inscribed in a circle |
Maxima and Minima Using Trigonometric Functions |
Chapter 4 - Trigonometric and Inverse Trigonometric Functions |
35-36 Time Rates: Lengthening of shadow and movement of its tip in 3D space |
33-34 Time Rates: A car traveling east and airplane traveling north |
31-32 Train in an elevated track and car in perpendicular road |
30 - Two trains in perpendicular railroad tracks |
28-29 Time Rates: Two cars driving on roads that intersects at 60 degree |
26-27 Time Rates: Kite moving horizontally |