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Let A be a nonempty set of real numbers. Prove that A is bounded in the sense of 1.3.1 if and only if there exists a positive real number K such that |x|<=K for all x in A.
1.3.1 Let F be an ordered field. A nonempty subset A of F is said to be:
bounded above if there exists an element K in F such that x <=K for all x in A.
bounded below if there exists an element k in F such that k<=x for all x in A.
bounded if it is both bounded above and bounded below.
unbounded if it is not bounded.
a marketing team at a leading perfume company is trying to test the market for its newly introduced perfume. in
During the summer, a group of students builds canoes in a neighbor's garage. The rent for the garage for the summer is $580, and the materials needed to build a single canoe cost $96. A canoe can be sold for $225. How many canoes must the students..
Find the slope of the tangent line to the graph of y2 + x2y = 5x2 at the point (1, 1). Given that function: y = (x2+7x/x+4). Find dy/dx|x=-1, and tangent to the graph of this function at x = -1
The normal daily human potassium requirement is in the range of 2000 to 6000 mg, with larger amounts required during hot summer weather. The amount of potassium in food varies, depending on the food.
Find the median for the set of numbers.
question the perimeter of a rectangular backyard is 6x 6 yards. if the width is x yards finds a binomial that
If 2200 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Which of the four operations on functions do you think is the easiest to perform? What is the most difficult? Explain why by showing examples for each function.
The Distance from B to C is 6 miles more than twice the distance from A to B The distance from A to C s 2 miles more than four times the distance from A to B what is the Distance from A to B?
Let C be the curve which is the union of two line segments, the first going from (0, 0) to (-2, 2) and the second going from (-2, 2) to (-4, 0). Computer the line integral of (-2dy -2dx)
Describe a personal experience of culture shock. In your opinion, was it a positive or negative experience? Why? Research coping mechanisms that you could use to deal with the culture shock you described.
How much work was done lifting the sand this far? (Neglect the weight of the bag and lifting equipment.)
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