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Find the area bounded by x2 – 2y = 0 and x2 + 2y – 8 = 0.

• 10.7

• 6.7

• 4.7

• 8.7

Melissa is four times as old as Jim. Pat is five years older than Melissa. If Jim is y years old, how old is Pat?

• 4y + 5

• 5y

• y + 5

• 4y

If a multiple-choice test consists of 5 different questions each with 4 possible answers of which only 1 is correct, in how many ways can a student check off one answer to each question and get all the answers wrong?

• 1024

• 243

• 512

• 476

Find the height of a right circular cylinder of maximum volume which can be inscribed in a sphere of radius 10 cm.

• 18.55 cm

• 11.55 cm

• 14.55 cm

• 12.55 cm

 

Obtain L^-1 { 1/(s^2+1)^2 }

• –½ (sin t – t cos t)

• ½ ( sin t + t cos t)

• -½ (sin t + t cos t)

• ½ ( sin t – t cos t)

Which of the following equations is an exact differential equation?  

• y " dx + (2x - 3y) dy = 0

• (x " + 1) dx - xy dy = 0

• x dx + (3x - 2y) dy = 0

• (2xy + x) dx + (x " + y) dy = 0

The suspension cable of a bridge of length 400m takes form of a parabola. If the sag is 50m, what is the equation of the parabola if the lowest part is at the origin?

• y^2 = 800x

• y^2 = 1600x

• x^2 = 1600y

• x^2 = 800y

Find the change in volume of a sphere if you increase the radius from 2 to 2.05 units.

• 1.52

• 2.15

• 2.51

• 1.25

A chord of a circle of a diameter 10 ft is decreasing in length 1 ft/min. Find the rate of change of the smaller arc subtended by the chord when the chord is 8 ft. long.

• 3/5 ft/min

• 5 ft/min

• 5/3 ft/min

• 3 ft/min

An object falls from rest in a medium offering a resistance. The velocity of the object before the object reaches the ground is given by the differential equation dV/dt + V/10 = 32 ft/sec. What is the velocity of the object one second after it falls?

• 34.12

• 38.65

• 30.45

• 40.54