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Question: Let G be a grammar and let R be the relation containing the ordered pair (w0,w1) if and only if w1 is directly derivable from w0 in G. What is the reflexive transitive closure of R?
List and count the number of possible combinations of objects from three sets, e.g., how many different outfits can one make from a set of three shirts, a set of two skirts, and a set of two hats?
batting averages are measured in thousandths. find the batting average of a player who gets 17 hits in 52 times at bat
he log was 210 feet ahead of you when you noticed it, which unfortunately wasn't soon enough.
A poster is to have an area of 180 in2 with 1 inch margins at the bottom and sides and a 2 inch margin at the top. Find the exact dimensions that will give the largest printed area.
The number of faculty listed for a variety of private colleges which offer only bachelor'sdegrees is listed below. Use these data to construct a frequency distribution with 7 classes, ahistogram, a frequency polygon, and an ogive. Discuss the shap..
It the perimeter of the track is to be exactly 440 yards, find the dimensions of the rectangle that maximize the area of the rectangle.
a circle has an area of 221 cm squared. What is the diameter of the circle rounded to the nearest tenth?
MODELING WITH DATA The revenues (in billions of dollars) from cable advertisement for the years 1995 through 2000 follow.
A machine uses 1000 J of electric energy to raise a heavy mass, increasing its potential energy by 300 J. What is the efficiency of this process?
A graph of the plane curve x(t) = t3-4t, y(t) = t2. The graph crosses itself at the point (0, 4). Find the equations of the tangent lines at this point.
A ... is a rectangular array of numbers that are enclosed within a bracket . horizontal set
A function is said to have a vertical asymptote wherever the limit on the left or right (or both) is either positive or negative infinity. For example, the function f(x)=(x^2 +1)/((2x+3)(x-5)) has a vertical asymptote at x=5 For each of the followin..
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