Please don't provide handwritten solution..... A solid is formed by rotating the region bounded by the curve y = e-6/2 and the x-axis between x = 0 and x = 1, around the x-axis. The volume of this solid is. (1-e 6). Assuming thesolid has constant density , find and y.X =y = 0##

givena curve solid is formed by rotating around the x-axisvolume of solid and having constant…

Answered: A solid is formed by rotating the…

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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2. Jimmy was drawing rectangles at his desk. After a while he concluded that if you increased one of the sides by 10% and decrease the other side by 10% the area won't change. Is Jimmy correct? Provide a formal mathematical argument as well as a "teacher response" to Jimmy.
A contractor has a contract which which will expire in 40 days. At present, he has 80 men on the job and can finish the job in 50 days. The wage per day of 40 men is $500 each and the other 40 men is $300, each for 8 hours work per day. The fine for the delay in the work is $10,000 per day. 1st question: How many more men should the contractor add in order to complete the work on time? 2nd question: Assuming that the additional men to be added will be paid $400 per day, will the contractor save money by employing enough men to complete the work on time or by not adding more men and just pay the fine? If any, how much is the savings? No overtime work is permitted.
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The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 72 students, requires 5 chaperones, and costs $1,400 to rent. Each van can transport 8 students, requires 1 chaperone, and costs $120 to rent. Since there are 432 students in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 432 students. Since only 50 parents have volunteered to serve as chaperones, the officers must plan to use at most 50 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation costs? What are the minimal transportation costs? The officers should rent buses and The minimal transportation costs are $ vans to minimize the transportation costs.
Ms. Cooper wishes to attend a conference which would take place in Hotel Mariott or Hotel Hilton. She isnot sure where the conference will take place but has to make her decision to book a room, immediately.The one-way taxi charges to and from the airport to both hotels are $50. The rooms in Hotel Mariott cost$150 per night and those in Hilton cost $100 per night. The taxi charge from Hotel Mariott to Hotel Hiltonand vice-versa is $20. She needs to book a room for two nights. If she stays in the wrong hotel, she needsto take a taxi from the hotel she is staying to the conference venue and back on days 1 and 2 and take a taxione way on day 3.a) Write the Loss Matrix.b) What should the probability of conference being conducted at Mariott be so that it does not matter where she stays?
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A solid is formed by rotating the region bounded by the curve y = e-6/2 and the x-axis between x = 0 and x = 1, around the x-axis. The volume of this solid is (1 - e-º). Assuming the solid has constant density &, find and ÿ I = y= 0