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Molecules of a gas in a container are moving around at different speeds. Maxwell’s speed distribution law gives the
Where M is the molar mass of the gas in kg/mol, R = 8.31J/(mol K), is the gas constant, T is the temperature in kelvins, and v is the molecule’s speed in m/s. Make a 3-D plot of P(v) as a function of i and T for
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Chapter 10 Solutions
MATLAB: An Introduction with Applications
- Prove sufficiency of the condition for a graph to be bipartite that is, prove that if G hasno odd cycles then G is bipartite as follows:Assume that the statement is false and that G is an edge minimal counterexample. That is, Gsatisfies the conditions and is not bipartite but G − e is bipartite for any edge e. (Note thatthis is essentially induction, just using different terminology.) What does minimality say aboutconnectivity of G? Can G − e be disconnected? Explain why if there is an edge between twovertices in the same part of a bipartition of G − e then there is an odd cyclearrow_forwardLet G be a connected graph that does not have P4 or C4 as an induced subgraph (i.e.,G is P4, C4 free). Prove that G has a vertex adjacent to all othersarrow_forwardWe consider a one-period market with the following properties: the current stock priceis S0 = 4. At time T = 1 year, the stock has either moved up to S1 = 8 (with probability0.7) or down towards S1 = 2 (with probability 0.3). We consider a call option on thisstock with maturity T = 1 and strike price K = 5. The interest rate on the money marketis 25% yearly.(a) Find the replicating portfolio (φ, ψ) corresponding to this call option.(b) Find the risk-neutral (no-arbitrage) price of this call option.(c) We now consider a put option with maturity T = 1 and strike price K = 3 onthe same market. Find the risk-neutral price of this put option. Reminder: A putoption gives you the right to sell the stock for the strike price K.1(d) An investor with initial capital X0 = 0 wants to invest on this market. He buysα shares of the stock (or sells them if α is negative) and buys β call options (orsells them is β is negative). He invests the cash balance on the money market (orborrows if the amount is…arrow_forward
- Question 3: p and q represent the following simple statements. p: Calgary is the capital of Alberta. A) Determine the value of each simple statement p and q. B) Then, without truth table, determine the va q: Alberta is a province of Canada. for each following compound statement below. pvq р^~q ~рл~q ~q→ p ~P~q Pq b~ (d~ ← b~) d~ (b~ v d) 0 4arrow_forward2. Let X be a random variable. (a) Show that, if E X2 = 1 and E X4arrow_forward1. Show that, for any non-negative random variable X, EX+E+≥2, X E max X. 21.arrow_forwarda small pond contains eight catfish and six bluegill. If seven fish are caught at random, what is the probability that exactly five catfish have been caught?arrow_forward23 The line graph in the following figure shows Revenue ($ millions) one company's revenues over time. Explain why this graph is misleading and what you can do to fix the problem. 700 60- 50- 40 30 Line Graph of Revenue 20- 101 1950 1970 1975 1980 1985 Year 1990 2000arrow_forwardd of the 20 respectively. Interpret the shape, center and spread of the following box plot. 14 13 12 11 10 6 T 89 7 9 5. 治arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill