Intro to proofs, thanks! 10. (20 points) Show that the sets (0,1) and (1,0) have equal...
4. As we have seen, sometimes two sets can have the same cardinality even when one seems obviously much bigger than the other. Show that the following sets have the same cardinality. In part a, give a complete proof by finding a bijection. In part b, consider our proof that the rationals are countable. (a) The interval (0,1) and the real numbers, R (b) The integers, Z, and the Cartesian Product of the integers with itself, Zx Z
17-26 true or false questions 17. The smallest positive real number is c, where c = card(0,1). 18. To show that two sets A and B are equal, show that x A and x B. 19. If (vx)P(e) is false, then P(x) is never true for that domain. 20. If R is a relation on A and if (a, a) is true for some a in A, then R is reflexive. 21. If f:A → B is a function, then...
cept of a randon PROBLEMS 1.1-1. Specify the following sets by the rule method. A= (1,2,3), B = (8, 10, 12. 14), C (1, 3, 5, 7,... 1.1-2. Use the tabular method to specify a class of sets for the sets of Problem 1.1-1. uncountable, or finite or infinite. A (1), B= (x= 1}, C ={0 < integers), D = (children in public school No. 5), E={girls in public school No. 5), F = {girls in class in public 1.1-3....
ı stoichiomelll 1. 10 Points. SHOW YOUR WORK CLEARLY Pentane, CsH 2, is a component of gasoline that burns according to the following balanced equation: CA 112(1) + 8 Odg) → 5 CO2(g) + 6 H2O(g) Given the following information; CO2 (g) -393.5 Ch 112(1) -146.8 H:00)-187.6 H:O(0) H:0(g) -241.8 -285.8 Calculate the standard enthalpy of reaction, AHP 2. 10 Points. SHOW YOUR WORK CLEARLY Ammonia, NHs, will burn to produce nitrogen monoxide, NO. Calculate AH for the reaction; Given...
please show me how to do these thanks! See page 726 01 Question (2 points) Below we see two representations of solutions one that contains HF(ag) and the other that contains both HF(agl and NaF(agl To simplity the images, only the predominant species are shown. The solvent water molecules are not shown 1st attempt l See Periodic Table See Hint Part1 (1polnt) This solution contains only HF(ag) Write the proton transfer equilibrium reaction Include states of matter. Part 2 (1polnt)...
2. (54 points) Short-run costs. Suppose w 1, r 10 and K 20. C )q3 +200 a) (5 points) We have TC = WG) q3 + rK = On one graph (with q on the horizontal axis), graph the Total Cost, Variable Cost, and Fixed Cost functions. Pay attention to the shape of the curves, where they intercept the axes and each other (if they do), and the position of the curves relative to each other b) (9 points) Using...
Thermodynamics problem. please show detail work including which table you used, thanks. A. Please provide your assumptions, a diagram (with system boundary), and a major formula at each question B. Please provide the table number if you need to use tables at Appendix. 1. As shown in the figure, an insulated box is initially divided into halves by a frictionless, massless, thermally conducting piston. On one side of the piston is 1.5 m of air at 400 K at 400...
1- [Equilibrium and Efficiency] 20 points (10 points each) a- Draw a Supply and Demand diagram and determine the equilibrium price and quantity. Explain - using words - why the intersection of supply and demand is the equilibrium of a free marker? (Hints: You need to explain why any other pair of price and quantity can't be the equilibrium) b- Determine the Consumer, Producer, and the Total surplus of the market at the equilibrium. Graphically show that any deviation from...
1. (20 points total) (a) (10 points) You have 100 light bulbs whose lifetimes are modeled by an indepen- dent exponential distribution with a mean of 8 hours. The bulbs are used one at a time, with a failed bulb being replaced immediately by a new one. i. (5 pointsUse the central limit theorem to approximate the probability that there is still a working bulb after 850 hours. ii. (5 points) Use the central limit theorem to approximate the probability...
3 Problem Three [10 points] (The Quantum Oscillator) We have seen in class that the Hamiltonian of a particle of a simple Harmonic oscillator potential in one dimension can be expressed in term of the creation and annihilation operators àt and à, respectively, as: or with In >, n = 0,1,..) are the nth eigenstates of the above Hamiltonian. Part A A.1. Show that the energy levels of a simple harmonic oscillator are E,' Aw (nti), n=0, 12, A.2. Calculate...