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Title Last update
01 - 04 Number Problems in Maxima and Minima
002 Weight of snow ball
004 Hemispherical dome covered with gold
011 Equal spheres piled to form a pyramid
005 Weight of ivory billiard balls
006 Weight of steel ball bearings
007 - 008 Volume and surface area of earth and balloon
009 Price of Oranges
010 Volume of snow blocks in an igloo
006 Components of a force in axes that are not perpendicular to each other
014 Solving for force with given resultant
01 Area Enclosed by r = 2a sin^2 θ
02 Area Bounded by the Lemniscate of Bernoulli r^2 = a^2 cos 2θ
03 Area Inside the Cardioid r = a(1 + cos θ) but Outside the Circle r = a
04 Area of the Inner Loop of the Limacon r = a(1 + 2 cos θ)
05 Area Enclosed by Four-Leaved Rose r = a cos 2θ
06 Area Within the Curve r^2 = 16 cos θ
09 - 11 Rectangular Lot Problems in Maxima and Minima
002 Components of forces with given slope
003 Components of a 3D force with given distances
012 Sphere circumscribed about a right circular cylinder
013 Insciribed and circumscribed sphere about a cube - volume comparison
014 Water poured into a jar of marbles
015 Two unequal balls inside the cylinder
016 Radius of the sphere circumscribing a regular triangular pyramid
01-02 Water flowing into cylindrical tank
03 Water flowing into rectangular trough
04-05 Water flowing into triangular trough
026 Review Problem - Find the diameter of a wooden ball
01 Rectangle of maximum perimeter inscribed in a circle
02 - Cylinder of maximum convex area inscribed in a sphere
04-05 Stiffness and strength of timber beam
06-09 Trapezoidal gutter of greatest capacity
042 Review Problem - Water is poured by tilting the glass
005 Components of a force in rotated axes
007 Components of a force parallel and perpendicular to the incline