If in the Fourier series of a periodic function, the coefficient a0 = 0, the it must be having ______ symmetry

The towns are located near the straight shore of the lake. Their nearest distances to the point in the shore are 1 km and 2 km respectively, and these points on the shore are 6 km apart. Where should finish port be located to maximize the total amount of paving necessary to build a straight road from each town to the pier?

Describe the locus represented by | z-3 | - | z+3 | = 4

In a conic section, if the eccentricity is greater the 1 , the locus is:

If the second derivative of the equation of a curve is proportional to the negative of the equation of the same curve, what is the curve?

Given a conic section, if B^2 - 4AC =0, it is called

In probability theory, what is the set of all possible outcomes of an experiment called?

It represents the distance of a point from the y-axis.

What type of curve is generated by a point which moves in uniform circular motion about an axis, while travelling with a constant speed, v, parallel to the axis?

The locus of a point which moves so that the sum of its distances between two fixed points is constant is called

A hand soap manufacturer introduced a new liguid, lotion-enriched, antibacterial soap and conducted an extensive consumer survey to help judge, the success of the new product. The survey showed 40% of the consumers had seen an advertisement for the new soap, 20% had tried the new soap, and 15% had both seen an advertisement and tried the new soap. If a randomly selected consumer has seen an advertisement for the new soap, what is the probability, that this consumer has tried the new soap.

Hotels like airlines, often overbook, counting on the fact that some people with reservations will cancel at the last minute. A certain hotel chain finds 20% of the reservations will not be used if four reservations are made, what is the chance fewer than two will cancel?

Determine the divergence of the vector: V = (×>>)i + (-xy)j + (xyz)k

Describe the locus represented by | z + 2i | + | z-2i | = 6

The equation y = a1 + a2x is an algebraic expression for which of the following choices

In y = mx + b, what is m?

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

A conic section whose eccentricity is less than 1 is known as

Each of the following figures has exactly two pairs of parallel sides except a

For a given function, it is found that f(t) = f(-t). What type of symmetry does f(t) have?

In an ellipse a chord which contains a focus and is in a perpendicular to the major axis is a:

If the general equation of the conic is Ax^2 + Bxy + Cy^2 + Dx + By + F = 0. If B^2 - 4AC > 0, the equation describes a

A line which cuts a pair of parallel lines is called

How can the values of a random variable defined over a sample space be described?

Determine the number of possible negative solutions in the equation: 4х4- 3x2 + x -56

A normal to a given place is

The integral of a function between certain limita divided by the difference in abscissas between those limits gives the _____ of the function

On a level ground, two engineers face each other with a distance of 5km between them. If the angles of elevation of the balloon from the two engineers are 56 degrees and 58 degrees respectively. What is the distance of the balloon from the two engineers?

In special rule of addition of probability, events are always

The arc of a sector is 9 units and its radius is 3 units. What is the area of triangle?

Pogi Ba si Cresencio ?

A voltage v = 150 - j130 is applied across an impedance and the current flowing is found to be I = 5 - j4. Determine the resistance.

The axis of the hypherbola through its foci is known as

The locus of a point which moves so that its distance from a fixed point and a fixed line is always equal is

_______ passes through the foci, vertices and the center of the hyperbola

If two random variable are independently distributed, what is their relationship?

If a and b are prime numbers, which of the following is true? I. a2 has three positive integer factors. II. ab has four positive integer factors. III. a3 has four positive integer factors