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1. Give a counter example, i.e., a metric space and a sequence, that disproves theclaim: Every Cauchy sequence converges; and then prove this example is Cauchy sequence and not converges.
2. On the other hand, give an example of a metric space in which every Cauchy sequence converges; and then prove this metric space is Cauchy sequence and also converges.
Show that x^2+1 is irreducible as an element of Q[x] but reducible as an element of Z5[x]
Hypothesis test for single mean
The problem that I'm having is that there is a nonconstant factor of (x^2+y^2+z^2)^(-1/2) appearing on the RHS of this equation, making it non-trivial to solve.
A Norman window has the shape of a square with a semicircle mounted on it. Find the width of the window if the total area of the square and the semicircle is to be 200ft.
The equation of tangent line.
find a linear programming problem consisting of only two constraints with one objective function.identify the decision
analyzing the use of large samples in surveys.give your understanding of why people doing polling and opinion surveys
Least common denominators are required for adding and subtracting rational expressions. What steps must be taken to obtain this requirement? Demonstrate the process with your own example.
Write out the form of the partial fraction decomposition of the function and determine the numerical values of the coefficients.
Cole's student loans totaled $31,000. One of his loans was at 2.8% simple interest and the other at 4.5%. After one year, Cole owed $1024.40 in interest. What was the amount of each loan.
What is the probability of getting an A on the paper? What is the probability of getting an A on the exam?
Let H be a group and tau_1 : H ---->G_1, tau_2 : H ----> G_2, ... , tau_n : H -----> G_n homomorphism with this property: whenever G is a group and g_1 : G ---->G_1, g_2 : G ----G_2, ..., g_n : G ----> G_n are homomorphism
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