Mathematics Quiz

A box is to be constructed from a piece of zinc 20 inches square by cutting equal squares from each corner and turning up the zinc to form the side. What is the volume of the largest box that can be constructed?

• 599.95 in^3

• 592.59 in^3

• 579.50 in^3

• 622.49 in^3

A statue 3 m high is standing on a base of 4 m high. If an observer's eye is 1.5 m above the ground, how far should he stand from the base in order that angle subtended by the statue is maximum?

• 3.41 m

• 3.51 m

• 3.71 m

• 4.41 m

An LRT train 6m above the ground crosses a street at 9m/s at the instant that a car approaching at a speed of 4m/s is 12m up the street. Find the rate of the LRT train and the car separating one second later.

• 3.64 m/s

• 3.94 m/s

• 4.24 m/s

• 4.46 m/s

Evaluate the integral: ∫ (3t − 1)^3 dt

• 1/12 (3t – 1)^4 + C

• 1/12 (3t – 4)^4 + C

• ¼ (3t – 1)^4 + C

• ¼ (3t – 1)^3 + C

Integrate: ∫ (7x^3 + 4x^2) dx

• 7x^3/3 + 2x^3 + C

• 7x^4/4 + 4x^3/3 + C

• 7x^4/4 + 4x^2/5 + C

• 21x^3 + 8x + C

A function F(x) is called ______ of f(x) if F’(x) = f(x).

• integral

• derivative

• differential

• definite

Evaluate the integral of ∫ 1/(x+2) dx from -10 to -6

• √2

• ½

• ln 3

• ln 2

Find the area of the region bounded by y^2 = 8x and y = 2x.

• 1.22 sq units

• 1.33 sq units

• 1.44 sq units

• 1.55 sq units

Evaluate: ∫ cos(8) 3x dx from 0 to π/6

• 0.1432

• 0.1324

• 0.1234

• 0.1423

Evaluate the limit: lim (x+1)/(x^2−1) as x approaches 2.

• 1/5

• 2/5

• 3/5

• 4/5