MATH 7

A periodic function has zero average value over a cycle and its Fourier series consists of only odd cosine terms. What is the symmetry possessed by this function?

• Even

• Odd

• Even quarter-wave

• Odd quarter-wave

A normal to a given plane is:

• Lying in the plane

• Parallel to the plane

• Oblique to the plane

• Perpendicular to the plane

What is the conic section whose eccentricity is less than 1?

• Circle

• Ellipse

• Parabola

• Hyperbola

The symbol j represents counterclockwise rotation of a vector through ___ degrees.

• 90

• 360

• 180

• 270

Which of the following equations is an exact differential equation?

• xdx + (3x - 2y)dy = 0

• (2xy + x)dx + (x^2 + y)dy = 0

• ydx + (2x - 3y)dy = 0

• (x^2 + 1)dx - xydy = 0

The Fourier series of waveform processing even quarter-wave symmetry contains only ___.

• odd sine terms

• even harmonics

• both odd cosine terms and odd sine terms

• odd cosine terms

When the negative half-cycle of a complex waveform is reversed, it becomes identical to its positive half-cycle. This feature indicates that the complex waveform is composed of:

• Fundamental

• Even harmonics

• Both fundamental and odd harmonics

• Odd harmonics

Angles that share a common vertex point cannot:

• Use the vertex letter name as an angle name

• Share a common angle side

• Share interior points

• Be right angle

If the coefficient a0 of a Fourier series of a periodic function is zero, it means that the function has:

• Odd symmetry

• All of the choices

• Even quarter-wave symmetry

• Odd quarter-wave symmetry

When two lines are parallel, the slope of one is:

• Equal to the other

• The negative of the other

• The reciprocal of the other

• The negative reciprocal of the other