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Let S be a bounded subset of an ordered field K. satisfying the completeness axiom. Using explictly the axioms of the ordered field show that S has an infimum.
Hint: consider the set T := {-x : x ∈ S}.
Show that the points A(4, 1), B(2, -3), C(0, 3) cannot form an equilateral triangle. Draw the graph of the straight line 3x ?4y = 12. Find the equation of a line parallel to the x- axis and passing through the point (5, 7).
there are 80 students in the school orchestra. forty percent of the orchestra students are in the 7th grade and 35 of
Looking for a simple, easy to understand way to test convergence and divergence using ratio test and comparison test.
The perimeter of a rectangle is 42 feet. The length of the rectangle is 3 feet more than twice the width. Find the length and width of the rectangle.
There are more functions from the real numbers to the real numbers than most of us can imagine. However in discrete mathematics we often work with functions.
Imagine that your 12-year-old neighbor is having trouble understanding the necessity of learning mathematics in school, and would like to know how you use mathematics in your workplace. The National Council for Teachers of Mathematics content area..
On monday, harold picked up five donuts and four large coffees, he paid $6.31. On Tuesday Melinda picked up two donuts and three large coffees. She paid 3.77 what is the cost of one donut? What is the cost of one large coffee?
Does a cubic equation appear to be a suitable specification, given this data? You may wish to construct a scatter diagram to help you answer this question.
The radius of a circular water wave increases at the rate of 2m/s.
a normal distribution has a mean of 500 a standard deviation of 50. A manager wants to simulate one value from this distribution, and has drawn the number 1.4 randomly. What is the simulated value?
Find all values of h for which the quadratic equation has two real solution.
Fay was admitted to Global Associates, an existing general partnership on January 2014. In August 2014, a partnership debt that was incurred in October 2013 came due. Fay is:
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