Explanation Given: The efficiency e (in%) of a certain gasoline engine is given by e = 100 ( 1 − r − 0.4 ) , where r is the compression ratio for the engine. Calculation: Consider the equation e = 100 ( 1 − r − 0.4 ) . Find the value of the r for e > 50 % as follows. 100 ( 1 − r − 0.4 ) > 50 100 − 100 r − 0.4 > 50 100 − 100 − 100 r − 0.4 > 50 − 100 − 100 r − 0

11th Edition

ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

See similar textbooks

Concept explainers

Exponential Growth Model

The relation that represents an exponential function is:

Videos

Question

Chapter 17, Problem 85RE

To determine

The value of the r for e>50%.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 17, Problem 84RE

Chapter 17, Problem 86RE

Students have asked these similar questions

7. Define the sequence {b} by bo = 0 Ել ։ = 2 8. bn=4bn-1-4bn-2 for n ≥ 2 (a) Give the first five terms of this sequence. (b) Prove: For all n = N, bn = 2nn. Let a Rsuch that a 1, and let nЄ N. We're going to derive a formula for Σoa without needing to prove it by induction. Tip: it can be helpful to use C1+C2+...+Cn notation instead of summation notation when working this out on scratch paper. (a) Take a a² and manipulate it until it is in the form Σ.a. i=0 (b) Using this, calculate the difference between a Σ0 a² and Σ0 a², simplifying away the summation notation. i=0 (c) Now that you know what (a – 1) Σ0 a² equals, divide both sides by a − 1 to derive the formula for a². (d) (Optional, just for induction practice) Prove this formula using induction.

3. Let A, B, and C be sets and let f: A B and g BC be functions. For each of the following, draw arrow diagrams that illustrate the situation, and then prove the proposition. (a) If ƒ and g are injective, then go f is injective. (b) If ƒ and g are surjective, then go f is surjective. (c) If gof is injective then f is injective. Make sure your arrow diagram shows that 9 does not need to be injective! (d) If gof is surjective then g is surjective. Make sure your arrow diagram shows that f does not need to be surjective!

4. 5. 6. Let X be a set and let f: XX be a function. We say that f is an involution if fof idx and that f is idempotent if f f = f. (a) If f is an involution, must it be invertible? Why or why not?2 (b) If f is idempotent, must it be invertible? Why or why not? (c) If f is idempotent and x E range(f), prove that f(x) = x. Prove that [log3 536] 5. You proof must be verifiable by someone who does not have access to a scientific calculator or a logarithm table (you cannot use log3 536≈ 5.7). Define the sequence {a} by a = 2-i for i≥ 1. (a) Give the first five terms of the sequence. (b) Prove that the sequence is increasing.

Chapter 17 Solutions

Basic Technical Mathematics

Ch. 17.1 - For −6 < 3, determine the inequality if 1. 8 is...Ch. 17.1 - Prob. 2PE Ch. 17.1 - For the inequality −6 < 3, state the inequality...Ch. 17.1 - Prob. 4PE Ch. 17.1 - Prob. 5PE Ch. 17.1 - In Exercises 1–4, make the given changes in the...Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - In Exercises 5–12, for the inequality 4 < 9, state...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The value of the r for e &gt; 50 % .

Concept explainers

Videos

The value of the r for e>50%.

Want to see the full answer?

Chapter 17 Solutions

The value of the r for e > 50 % .