Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 35, Problem 16A
Using the Table of Block Thicknesses for a Customary Gage Block Set, determine a combination of gage blocks for each of the following dimensions.
Note: Usually more than one combination of blocks will give the desired dimension.
9.050"
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2. A landlord is about to write a rental contract for a tenant which lasts T months. The
landlord first decides the length T > 0 (need not be an integer) of the contract, the
tenant then signs it and pays an initial handling fee of £100 before moving in. The
landlord collects the total amount of rent erT at the end of the contract at a continuously
compounded rate r> 0, but the contract stipulates that the tenant may leave before T,
in which case the landlord only collects the total rent up until the tenant's departure
time 7. Assume that 7 is exponentially distributed with rate > 0, λ‡r.
(i) Calculate the expected total payment EW the landlord will receive in terms of T.
(ii) Assume that the landlord has logarithmic utility U(w) = log(w - 100) and decides
that the rental rate r should depend on the contract length T by
r(T)
=
λ
√T
1
For each given λ, what T (as a function of X) should the landlord choose so as to
maximise their expected utility? Justify your answer.
Hint. It might be…
Please ensure that all parts of the question are answered thoroughly and clearly. Include a diagram to help explain answers. Make sure the explanation is easy to follow. Would appreciate work done written on paper. Thank you.
Consider the proof below:
Proposition: If m is an even integer, then 5m +4
is an even integer.
Proof: We see that
|5m+4=10n+4
=
2(5n+2). Therefore,
5m+4 is an even integer.
**Note: you may assume the proof is valid, just poorly written.
Based upon the Section 1.3 screencast and the reading assignment, select all
writing guidelines that are missing in the proof.
Proof begins by stating assumptions
✓ Proof has an invitational tone/uses collective pronouns
Proof is written in complete sentences
Each step is justified
☐ Proof has a clear conclusion
Chapter 35 Solutions
Mathematics for Machine Technology
Ch. 35 - Prob. 1ACh. 35 - Read the settings of this metric vernier...Ch. 35 - Prob. 3ACh. 35 - Prob. 4ACh. 35 - Prob. 5ACh. 35 - Prob. 6ACh. 35 - Prob. 7ACh. 35 - Prob. 8ACh. 35 - Prob. 9ACh. 35 - Prob. 10A
Ch. 35 - Prob. 11ACh. 35 - Prob. 12ACh. 35 - Prob. 13ACh. 35 - Prob. 14ACh. 35 - Prob. 15ACh. 35 - Using the Table of Block Thicknesses for a...Ch. 35 - Prob. 17ACh. 35 - Prob. 18ACh. 35 - Prob. 19ACh. 35 - Prob. 20ACh. 35 - Prob. 21ACh. 35 - Prob. 22ACh. 35 - Prob. 23ACh. 35 - Prob. 24ACh. 35 - Prob. 25ACh. 35 - Prob. 26ACh. 35 - Prob. 27ACh. 35 - Prob. 28ACh. 35 - Prob. 29ACh. 35 - Prob. 30ACh. 35 - Using the Table of Block Thicknesses for a...Ch. 35 - Prob. 32ACh. 35 - Prob. 33ACh. 35 - Prob. 34ACh. 35 - Prob. 35ACh. 35 - Prob. 36ACh. 35 - Prob. 37ACh. 35 - Prob. 38ACh. 35 - Prob. 39ACh. 35 - Prob. 40ACh. 35 - Prob. 41ACh. 35 - Prob. 42ACh. 35 - Prob. 43ACh. 35 - Prob. 44ACh. 35 - Prob. 45ACh. 35 - Prob. 46ACh. 35 - Prob. 47ACh. 35 - Prob. 48ACh. 35 - Prob. 49ACh. 35 - Prob. 50ACh. 35 - Prob. 51ACh. 35 - Prob. 52ACh. 35 - Prob. 53ACh. 35 - Prob. 54ACh. 35 - Prob. 55A
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