Explanation The plane takes off from Winnipeg and flies due east at 620 km/hr . The second plane takes off from the surface of Lake Winnipeg 310 km due north at 560 km/hr . Let t be the time from the take-off of the plane from Winnipeg. The distance between planes is given by, ( 620 t ) 2 + ( 310 + 560 t ) 2 To compute the time period that the planes are less than 1000 km apart consider the following. ( 620 t ) 2 + ( 310 + 560 t ) 2 < 1000 ( 620 t ) 2 + ( 310 + 560 t ) 2 < ( 1000 ) 2 384400 t 2 + 96100 + 347200 t + 313600 t 2 < 1000000 698000 t 2 + 347200 t − 903900 < 0 Factor the above inequality as follows. t = − 3472 ± 3472 2 − 4 ( 6980 ) ( − 9039 ) 2 ( 6980 ) = − 3472 ± 12054784 + 252368880 13960 = − 3472 ± 264423664 13960 = − 3472 ± 16261

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780134434636

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 17.3, Problem 61E

To determine

The time period that the planes are less than 1000 km apart.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 17.3, Problem 60E

Chapter 17.3, Problem 62E

Students have asked these similar questions

Differentiate the following function

2. You manage a chemical company with 2 warehouses. The following quantities of Important Chemical A have arrived from an international supplier at 3 different ports: Chemical Available (L) Port 1. 400 Port 2 110 Port 3 100 The following amounts of Important Chemical A are required at your warehouses: Warehouse 1 Warehouse 2 Chemical Required (L) 380 230 The cost in £ to ship 1L of chemical from each port to each warehouse is as follows: Warehouse 1 Warehouse 2 Port 1 £10 £45 Port 2 £20 £28 Port 3 £13 £11 (a) You want to know how to send these shipments as cheaply as possible. For- mulate this as a linear program (you do not need to formulate it in standard inequality form). (b) Suppose now that all is as in the previous question but that only 320L of Important Chemical A are now required at Warehouse 1. Any excess chemical can be transported to either Warehouse 1 or 2 for storage, in which case the company must pay only the relevant transportation costs, or can be disposed of at the…

choose true options in these from given question a) always full and always crossing. b) always full and sometimes crossing. c) always full and never crossing. d) sometimes full and always crossing. e) sometimes full and sometimes crossing. f) sometimes full and never crossing. g) never full and always crossing. h) never full and sometimes crossing. i) never full and never crossing.

Chapter 17 Solutions

Student Solutions Manual For Basic Technical Mathematics And Basic Technical Mathematics With Calculus

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.