i) Show that the function p(t) = 4t - 1 defines a bijection on the real...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
i) Show that the function p(t) = 4t - 1 defines a bijection on the real numbers and determine its inverse. ii) What can you say about the function p(n) = 4n - 1 defined on the integer, is it a bijection? Justify your answer. i) Show that the function p(t) = 4t - 1 defines a bijection on the real numbers and determine its inverse. ii) What can you say about the function p(n) = 4n - 1 defined on the integer, is it a bijection? Justify your answer.
Expert Answer:
Answer rating: 100% (QA)
Q1 solution pt4t1t in Rset of real numbers 1 Let pspthere st are from Rdomain So 4s14t1 Therefore 4s... View the full answer
Related Book For
The Economics Of The Environment
ISBN: 9780321321664
1st Edition
Authors: Peter Berck, Gloria Helfand
Posted Date:
Students also viewed these mathematics questions
-
What can you say about Laura's economies of scope if her time is valued at $5 an hour and her production possibility frontier is PPF1 in Figure 7.10? Figure 7.10: Joint Production PPF1 PPF2 4 Wild...
-
What can you say about the income elasticity of demand of a normal good? of an inferior good?
-
What can you say about the number c in each case? Justify your answer. (a) P[T > c] = .016 when d.f. = 11. (b) P[T < -c] = .004 when d.f. = 13. (c) P [|T| > c = .03 when d.f. = 6. (d) P [|T| < c] =...
-
In a perpetual inventory system: (a) LIFO cost of goods sold will be the same as in a periodic inventory system. (b) average costs are a simple average of unit costs incurred. (c) a new average is...
-
The actual price for a product was $56 per unit, while the planned price was $50 per unit. The volume decreased by 40,000 units to 820,000 actual total units. Determine. (a) The sales quantity factor...
-
Over a particular period, an asset had an average return of 6.9 percent and a standard deviation of 9.9 percent. What range of returns would you expect to see 95 percent of the time for this asset?...
-
Bond 1 has an annual coupon rate of 6 per cent and Bond 2 has an annual coupon of 12 percent. Both bonds mature in one year and have a par value of 100. If the yield to maturity on bonds of this risk...
-
Grippers sells its rock-climbing shoes worldwide. Grippers expects to sell 8,500 pairs of shoes for $180 each in January, and 3,500 pairs of shoes for $190 each in February. All sales are cash only....
-
The corporate charter of Alpaca Company authorized the issuance of 27 million, $1 par common shares. During 2024, its first year of operations, Alpaca had the following transactions: January 1 sold...
-
Amadeus Corporation is considering the issue of a new product to be added to its product mix. They hired you, a recent business graduate from MacEwan, for conducting the analysis. The production line...
-
2.7-14 The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and...
-
Why should fixed assets be appraised periodically?
-
Identify the specific types of transactions relating to shareholders' equity that are tested by an auditor at year end.
-
Early in your audit of the Kimberly Corporation, you note that the factory supervisor approves time cards for hours worked and for hourly rates and also distributes the payroll checks. Required: 1....
-
If a credit memorandum were issued for returned goods, how might an auditor determine whether the goods were actually returned?
-
Irena Harkison, a partner in Health Law at a top-tier legal firm, LKW International, was concerned about how she could handle an ongoing dispute between two of her staff. Di Stewart had been with the...
-
For each of the following accounts for a manufacturing company, select yes in the appropriate column indicating that it appears on the balance sheet, the income statement, the schedule of cost of...
-
A regular deposit of $100 is made at the beginning of each year for 20 years. Simple interest is calculated at i% per year for the 20 years. At the end of the 20-year period, the total interest in...
-
Explain why Congress might pass laws against pollution and then not fund the agencies sufficiently to enforce them. Does it surprise you that a pro-business administration might choose to shift...
-
Ground-level ozone produces an interesting example of the consequence of isopollution curves that do not always slope downward. Ozone is an air pollutant that results from a chemical reaction...
-
Are expenditures ever a good measure of the gains to an individual from purchasing a good? First, try to think of a case where expenditures exactly measure total willingness to pay. Secondly, if...
-
Stock markets are merely casinos allowing speculators to get rich while doing nothing for ordinary people like you and me. Write an essay explaining why you agree or disagree with this statement.
-
Describe the shifts in UK share ownership over the past 60 years. Suggest some reasons for the changes.
-
Describe what a badly run stock exchange would be like and explain how society would be poorer as a result.
Study smarter with the SolutionInn App