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1) Show that if (a_n)^infinity evaluated at n=1, and (b_n)^infinity evaluated at n=1 are equivalent sequences of rationals, then (a_n) ^infinity evaluated at n=1 is a cauchy sequence if and only if (b_n)^infinity evaluated at n=1 is a cauchy sequence.
2) Let epsilon >0. Show that if (a_n)^infinity evaluated at n=1 and (b_n)^infinity evaluated at n=1 are eventually epsilon-close, then (a_n)^infinity evaluated at n=1 is bounded if and only if (b_n)^infinity evaluated at n=1 is bounded.
Find all the complex cube roots of w= 8(cos 150 + i sin 150). Write the roots in polar form with theta in degrees.
Mathematicians say that division by zero is forbidden. The expression 5/0, for example, is undefined. "Undefined" in this sense means "unable to be determined". Why is this?
Calculate the free end deflection caused by the load using general expression for the internal Elastic Strain Energy.
Provide basic information about the BMI difference
Using trigonometry to solve a Right triangle - Find the width of the lake.
Let D be a Euclidean ring, F its field of quotients. Prove the Gauss lemma for polynomials with coefficients in D factored as product of polynomials with coefficients in F.
Find the probability of making a Type II error.
I am having some difficulty figuring out how to work out this problem. I am finding it impossible to get one of the below answer choices. I need to express the answer in the form of a + bi:
You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company.
Using standard partition Pn (0,1) where n greater or equal to 4 and deduce that f is intergrable on (0,1) and evaluate (intergral sign with 1 at top and 0 at bottom) of f
Test for population mean
Let f be the function whose graph goes through point (3,6) and whose derivative is given by f'(x) = (1+e^(x))/(x^2). Write the equation of the line tangent to the graph of f at x=3 and use it to approximate f(3.1)
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