CE Board Examinations - Mathematics and Surveying November 2003

Compute the area bounded by the curve y = 6cosx and the x-axis, from \(x = {\pi\over6}\) to \(x = {\pi\over2}\)

Find the maximum area of a rectangle inscribe in a triable with sides: a = 4.25, b = 8.62, c = 9.61. The least dimension of the rectangle lying along side a.

630° equal to _____ in centesimal system.

Round-off 102.48886 to four significant figures.

The sum of two numbers is k. If the product of the first number multiplied by the cube of the other is maximum, find one number.

Find the height of a tetrahedron given a total surface area of 170 sq. cm.

Given the general equation of the curve Ax² + By² + F = 0 which passes through points (0,3) and (4,0). Determine what type of curve. 

Calculate the effective rate that corresponds to nominal rate of 6% compounded continuously.