Math ore board exam

The axis of the hyperbola which is parallel to its directrices is known as:

• transverse axis

• conjugate axis

• minor axis

• major axis

Fund the minimum distance from the point (4, 2) to the parabola y^2 = 8x.

• 3 sqrt. of 3

• 2 sqrt. of 3

• 3 sqrt. of 2

• 2 sqrt. of 2

From past experience, it is known 90% of one-year-old children can distinguish their mother's voice from the voice of a similar sounding female. A random sample of 20 one-year old is given this voice recognation test. Let the random variable X denote the number of children who do not recognize their mother's voice. Find the variance of X

• 1.44

• 1.8

• 1.34

• 2.04

A groupt consists of n engineers and n nurses. if two of the engineers are replaced by two other nurses, then 51% of the group members will be nurses. Find the value of n.

• 100

• 110

• 80

• 55

Sand is being poured into a conical pile in such a way that the height is always 1/3 of the radius. At what rate is sand being added to the pile when it is 4 ft. high if the height is increasing at 2 in/min.

• 100,132.88

• 53,288.13

• 30,288.13

• 130,288.13

An unlimited sequence of squares are inscribed one within another by joining the midpoints of the sides of each preceding square. If the initial square is 8 cm on a side, find the sum of the perimeters of these squares

• 128 cm

• 109.25 cm

• 32 cm

• 77.25 cm

The area enclosed by the elipse 4x² + 9y² =36 is revolved about fhe line x = 3, what is the volume generated?

• 370.3

• 360.1

• 355.3

• 365.1

Solve ( x+y) dy = ( x-y) dx?

• x + y = c

• x +2xy +y = c

• x - 2xy - y = c

• x - 2xy + y = c

If in the Fourier series of a periodic function, the coefficient ao = 10, then it must be having _____ symmetry.

• A. odd

• B. odd quarter wave

• C. even

• either A or B

A ball bounces 2/3 of the altitude from which it falls. Suppose the ball is dropped from a height of 18 ft. How far will it travel at the instant it strikes the ground for the 5th time?

• 37.89 ft

• 73.89 ft

• 75.78 ft

• 57.78 ft