E3AP - Math 02 | Take the Quiz

Steve Fossett is approaching the shores of Australia on the first successful solo hot air balloon ride around the world. His balloon, the Bud Light Spirit of Freedom, is being escorted by a boat (directly below him) that is 108 meters away. The boat is 144 meters from the shore. How far is Fossett’s balloon from the shore?

180 m

95.2 m

126 m

252 m

What is the Laplace transform of e^-6t?

E^(6 + s)

E^(-6 + s)

1/(s + 6)

1/(s - 6)

The Laplace transform of cos wt is:

S / (s^2+w^2)

S / (s+w)

W / (s^2+w^2)

W / (s+w)

Any angle greater than a straight angle but less than two straight angles is known as ______ angle.

Complex

Supplement

Reflex

Complement

What is the equation of the asymptote of the hyperbola x² / 9 – y² / 4 = 1 ?

3x – 2y = 0

2x – y = 0

2x + y = 0

2x – 3y = 0

What is the general form of the equation for a line whose x-intercept is 4 and y-intercept is -6?

3x + 2y + 12 = 0

3x – 2y – 12 = 0

2x – 3y – 18 = 0

2x + 3y + 18 = 0

What is the inverse-transform of the z-transform function F(z) = z/(z – 5)?

2^k

5^k

E^-5k

The Taylor series expansion for cos x contains which powers of x?

1, 3, 5, 9, …

1/2, 3/2, 5/2, 7/2, …

0, 2, 4, 6, 8, …

1, 2, 3, 4, 5, …

One method of finding the height of an object is to place a mirror on the ground and then position yourself so that the top of the object can be seen in the mirror. How high is a structure if a person who is 160 cm tall observes the top of a structure when the mirror is 100 m from the structure and the person is 8 m from the mirror?

20,000 cm

50,000 cm

200 cm

2,000 cm

Find the moment of inertia, with respect to x-axis of the area bounded by the parabola y² = 4x and the line x = 1.

2.03

2.53

2.33

2.13

What is the area bounded by the curve y = x³, the x-axis and the line x = - 2 and x = 1?

5.24

4.25

2.45

5.42

Two planes intersect each other. What is the term for the angle formed perpendicular to the intersection of two planes?

Dihedral angle

Base angle

Solid angle

Plane angle

The differential equation given is correctly described by which of the following choices? A d²y/dx² + bxy dy/dx = f(x)

Nonlinear, second order, nonhomogeneous

Nonlinear, second order, homogeneous

Linear, second order, nonhomogeneous

Linear, second order, homogeneous

Compute the focal length and the length of the latus rectum of the parabola y² + 8x – 6y + 25 = 0.

1,4

2,8

4,64

8,16

A poster is to contain 300 (cm square) of printed matter with margins of 10 cm at the top and bottom and 5 cm at each side. Find the overall dimensions if the total area of the poster is minimum.

22.24 cm, 44.5 cm

20.45 cm, 35.6 cm

Find the value of (1 + i)⁵, where I is an imaginary number.

4(1+ i)

1 - I

1 + I

�4(1+ i)

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