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Prove: Suppose that (a_n) ^ infinity, n=m is a convergent sequence of real numbers. Then (a_n) ^ infinity, n=m is also a Cauchy sequence
Use triangle inequality
Trees can be used for many applications in computer science. One of these applications is decision-making, which is often used in the creation and analysis of databases.
Use the disk method to calculate the volume of the solid shape than will come about as a result of rotating the area bounded by the graphs of y=x^3, y=1, and x=2 about the x-axis.
Evergreen Fertilizer Company produces fertilizer. The company’s fixed monthly cost is USD 25,000, and its variable cost per pound of fertilizer is USD 0.15. Evergreen sells the fertilizer for USD 0.40 per pound. Calculate the monthly break even volum..
Prove that if f(x) is even on [-a, a] and integrable on [0, a] where a>0, then f(x) is integrable on [-a, a] and Int([-a, a], f(x)dx) = 2*Int([0, a], f(x)dx).
The one percent level of significance
A committee of four is to be randomly selected from a group of seven teachers and eight students. Find the probability that the committee will consist of four students.
Find the distance from the origin to the line passing through the point P(3,1,5) and having the direction vector v=2i-j+k.
The slope intercept formula in math form is y=mx+b. The slope in this case is m and determines how much increase there is in y from an increase in x.
Appropriate probability space. Consider the experiment of choosing a whole number between 1 and 10, where the probability
State the inverse, the converse, and the contrapostive of the given statements.
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum.
By contracting an edge e = uv, we mean removing e and identifying the vertices u and v as a single new vertex. Let num_T(G) denote the number of spanning trees of the graph G.
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