5. (a) A small car ferry operating between two islands has three lanes, each 20 m longon its car deck. On one trip, the vehicles waiting to use the ferry are:vehiclecar 1car 2car with caravancar with trailercamper vanlorry 1lorry 2vanlength [m]44107610127(i) Calculate the lower bound for the number of lanes required. Based on l,could all vehicles fit on the ferry on one trip?(ii) Use the first fit decreasing algorithm to estimate the minimum number oflanes to fit all vehicles. Does the first fit decreasing algorithm give an optimalsolution?11110110000(b) You have received the following 7+4 bit Hamming encoded message (the Hammingbits are underlined):Assume the message has been corrupted by at most single bit errors per symbol.Correct the message if necessary.

Answered: Image /qna-images/answer/3bf1620d-8ed6-4e46-8dad-23acddac5646.jpg

Answered: 5. (a) A small car ferry operating…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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5. A lifeguard has 40 m of rope to enclose a rectangular swimming area at a small lake. One side of the rectangle is a straight sandy beach. What are the dimensions of the largest swimming area that she can enclose? Swimming Pool y Lake O x = 5 m y = 30 m O x = 10 m y = 20 m O x = 8 m y = 24 m O x = 9 m y = 22 m
The table below shows the distances between radio stations. How many different channels are needed for 6 stations (located at the distances shown) if two stations can’t use the same channel when they’re within 150 km of each other?
4. How high is the ramp 15 1t O 10 O 21
6. A rectangular vault is to be constructed on an existing floor at a bank so as to enclose a volume of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling, $9,000 for the wall with the door and $3,000 for the other three walls. The minimized cost of the vault rounded to the nearest $1,000 dollars is: a. $964,000 b. $971,000 c. $982,000 d. $993,000 7. The function f (x,y, z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical point at (x, y, z) = (24, 12,8). If that critical point is derived by the Lagrangian method, then the value of the Lagrange multiplier 2 at the critical point is: а. 13 24 b. 1 = 36 c. 1 = 54 d. 1 = 96
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To solve for /, back-substitute the value w - 10 into Equation 2. Iw + 4 I 10 + 4 We therefore conclude that the dimensions of the rectangie are as follows. width length
Two airplanes left airports 750 miles apart at the same time and flew towards each other. One airplane flew 20 miles per hour faster than the other. If they travel at constant speed and passed each other after one and half hours. 1.) What were their rates of flying? 2.) How far did each airplane travel at the end of one and a half hours.
urse 1 per to "' D Abxh 2 JNJ^ + 2 A 5 F Saxon Math Course 1 -4 4 12/24 The coordinates of the four vertices of a square are (1,-1), (4, -1), (4, 2), and (1, 2). Use this information for problems 4 and 5. 4. How many units is the perimeter of (Inv. 7) the square? 3-2 ISL 3 B 12units 6 cm om 2 M 3 A 3 3 7 units 6) Z 2 C (60) 8. All squares are rectang false? 9. Keisha spent 40% c (41) her math homewor a reduced fraction. number of minutes her math homewc 410 вс 4 6 O Harcourt Achieve Inc. and Stephen Hake. All rights reserved. 11

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