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Using GEOMETRY ONLY, for an equilateral triangular region, for which points is the sum of the distances to the sides of the triangle minimal? Please show me and do not point to a web site.
Explain what makes a function a polynomial. Give an example of a function that is a polynomial and a function that is not a polynomial.
A church steeple casts a shadow 115 ft long, at the same time a 9.0 ft post casts a shadow 7.0 ft long. How high is the steeple?
Let X be any vector space over the field F, let L be a linearly independent subset of X, and A be the set of linearly independent subsets of X containing L.
find the probability based on normal distribution
Let x and y be real numbers. Show that x 0 if and only if x 0 if and only if x=y.
The Pythagorean Theorem for right triangles states that if a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a2 + b2 = c2.
A random sample of size 10 bulbs is selected from the storage room, what is the probability that exactly 4 of the bulbs will have a lifetime less than 16 days?
Explain what the index of a subgroup and a coset of a group are. Also, prove that if N is a subgroup of a group G such that [G: N] = 2, and if "a" and "b" are elements of G,
A single line divides a plane into two regions. Two lines (by crossing) can divide a plane into four regions, three lines can divide it into seven regions.
Let S a subset of R be compact. Prove that every infinite subset of S has an accumulation point in S
Let |G| be finite and N be a normal subgroup of G. If xN is an element of G/N and has order a power of p, show that there exists a y element of G such that |y| is a power of p and yN=xN.
Describe Important information about Queuing Theory. Compute the operating characteristics for the drive-through window queuing system.
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