Analytic Geometry Answers

A kite is constructed to maximise surface area of the kite. Investigate the best location of cutting a 1.7m dowel into 2 pieces.

A kite is to be constructed so that it has the maximum surface area to maximise flying potential. Dowell is to be used along the diagonals of the kite. One piece of dowel has been bought which is 1.7m long. Investigate the best location to cut the dowel into two pieces, to maximise the surface area of the kite.

find the moment of inertia of a uniform rectangular lamina of mass m and dimensions a and 2a about a diagonal.

find the moment of inertia of parallelepiped of length about a diagonal.

find the moment of inertia of a uniform square lamina of mass m and side a about its diagonal.

1. Triangle ABC is formed with the points A(3, -2, -3), B(7,0,1) and C(1,2,1). Determine whether ABC is a right or isosceles triangle. Justify your answer.
2. Determine whether the points A(2,4,2), B(3,7,-2), and C(1,3,3) are on a line.
3. Find the equation of the line through the origin and the point (4,3,-1)
4. Find the equation of the line through the points (-8,1,4) and (3,-2,4)

the surface area of a cone is 8,478cm2. If the radiusis 30 cm, find the slant.

what is the difference between Dx[5x^3-6x] and Dx = [5x^3-6x]