So the set {0} is not open in the Euclidean line, is it closed? Please explain why? Is this the same for any single elem...
Explain why there is a blurry line dividing objects that are "money" from those that are not. (b) Give examples of some clear-cut cases, and some borderline ones. (c) Could the position of this blurry line change over time? (d) Why does the answer to (c) matter? basically the Question is written in photo? and not the notes above the picture 1. As we have discussed in class, though most countries have their own currency, country is not the same...
nat I &0, then at 0 l c and i c l< b imply c = 0 (5) Show that a set of integers closed under addition need not consist of all multiples of a single fixed element. (6) Show that any two integers a and b have a least common multiple m a, b which is a divisor of every common multiple of a and b and which is itself a common multiple of a and b. (Hint: see...
Please answer true or false and explain why for each of them. Thank you 1. Mark with T (True) or F (False) (2 points each) • Joule Thompson experiment corresponds to process with constant enthalpy. . The state functions (U.H,G,A) act as thermodynamic potentials when represented as functions of their natural variables. • The Gibbs free energy is equal to the maximum PV work done by the system on the envi- ronment. . The standard enthalpy of formation for any...
Real Analysis II Please do it without using Heine-Borel's theorem and do it only if you're sure Problem: Let E be a closed bounded subset of En and r be any function mapping E to (0,∞). Then there exists finitely many points yi ∈ E, i = 1,...,N such that Here Br(yi)(yi) is the open ball (neighborhood) of radius r(yi) centered at yi. Also, following definitions & theorems should help that E CUBy Definition. A subset S of a topological...
6. In a zinc blast furnace, zinc oxide and carbon are charged into a retort (essentially a closed vessel) and heated to a sufficient temperature (1100°C) such that the reaction ZnO (s) + C (s)-Zn (vapor) + CO(g) attains equilibrium a. b. c. Is the reaction endothermic or exothermic; i.e. does the process absorb heat or give off heat? If the system contains ZnO, C, CO, CO2 and Zn (vapor), how many phases are present? At 1100°C and at equilibrium...
New problems for 2020 1. A topological space is called a T3.space if it is a T, space and for every pair («,F), where € X and F(carefull), there is a continuous function 9 :X (0,1 such that f(x) 0 and f =1 on F. Prove that such a space has the Hausdorff Separation Property. (Hint: One point subsets are closed.] 2. Let X be topological space, and assume that both V and W are subbases for the topology. Show...
Please help I'm very confused. a. Which data set seems to be more reliable and why? Does this set have less random or systematic error? b. Given the percent difference between the two sets, do you think the two sets provide a statistical different value for those coefficients, or do you think they are statistically the same? Use the uncertainty ranges to help explain this. c. Comparing the two uncertainty ranges, does any of the data appear to be suffering...
keporT For any equations that are written, label each equation so that it is clear which observation it represents. 1. Define the term Lewis base and give rwo examples. Are your examples possible ligands Why 2. Provide a table for the observations recorded in Part 1. If a colo or why not? r change was observed after adding HCl or water, provide a balanced chemical equation showing the reaction that occurred. 3. For Pa rt 2, create a table showing...
1 Assume the same setup as in problems 1 and 2, except that we now won’t assume that β = 1+r . Again, start with a graphical representation Jeff’s optimal choice (using some arbitrary choices for his income (y1, y2), β, and r). Please answer the following questions: (a) How would Jeff’s budget set change if the interest rate on borrowing rb was now higher than the interest rate on lending rl. You only need to analyze this graphically. There...
Please show all the work!!! Thank you 1. The Cantor set is one of the most famous sets in mathematics and has some rather unique properties. The Cantor set was discovered in 1874 by Henry John Stephen Smith and introduced to the world by George Cantor in 1883. The Cantor set is a set of points lying on a single closed line segment, say from [0,1]. It is constructed as follows: Start with the closed interval Co-10.1]. Remove the open...