Math 6-2

Which of the following is an exact DE?

• 2xydy dx + (2 + x²)dy = 0

• (x² + 1)dx - xydy = 0

• xdy dx + (2 + x²)dy = 0

• x²y dy - ydx = 0

Find the value of 4 sinh (ln 3).

• -2(sqrt. of 3)

• 2(sqrt. of 3)

• -4i (sqrt. of 3)

• 4/(sqrt. of 3)

Find the coordinates of an object that has been displaced from the point (-4, 9) by the vector 4i - 5j.

• (0, 4)

• (0, -4)

• (4, 0)

• (-4, 0)

Find the work done in moving an object along a vector r = (3i + 2j – 5k) if the applied force F = 2i – j – k.

• 9

• 15

• 10

• 16

Find the value of k for which the line 2x + ky = 6 is parallel to the y-axis.

• k = 0

• k = 1

• k = 2

• k = 3

Find the area inside one petal of the four-leaved rose r = sin(2θ).

• π/2

• π/4

• π/8

• π/6

Which of the following is a vector?

• kinetic energy

• electric field intensity

• entropy

• work

In how many ways can 6 people be lined up to get on a bus if a certain 3 persons refuse to follow each other?

• 144

• 120

• 72

• 480

The bases of a frustum of a pyramid are 18 cm by 18 cm and 10 cm by 10 cm. Its lateral area is 448 sq. cm., what is the altitude of the frustum?

• 6.39 cm

• 6.93 cm

• 5.96 cm

• 5.69 cm

A store advertises a 20 percent-off sale. If an article is marked for the sale at $24.48, what is the regular price?

• $34.80

• $28.65

• $30.60

• $36.55