Please don't provide handwritten solution ..... dTNewton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the temperature of the body. That is, K[M(t) – T(t)], where K is a constant. Let K= 0.03 (min) and thetemperature of the medium be constant, M(t) = 295 kelvins. If the body is initially at 366 kelvins, use Euler's method with h= 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.=

To approximate the temperature of the body using Euler's method, we need to use the formula derived…

Answered: dT Newton's law of cooling states that…

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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Jim works as a travelling sales representative. He needs to plan his next business trip to Port Hedland, which he anticipates will take him away from the office for 3 or 4 days. Due to other work commitments, he is not sure whether he can make the trip by the end of this month or early next month. He plans to fly to Port Hedland and use a hire car to travel when he arrives. Jim's boss has asked him to supply documentation detailing the anticipated costs for the hire car, based on the following quotes received. A1 Rentals $35 per day plus 28c per kilometre of travel Cut Price Rentals $28 per day plus 30c per kilometre of travel 1
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?
UUnais, Uid JESSICA pay TO Tem eacII IIOVIE! 2.25 2 Stefanie bought a package of pencils for $1 .75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items, before tax. Exactly how many erasers did Stefanie buy?
what is the right answer?! Please don't provide hand written solution
Mr. Henok claims he has been unfairly dismissed by his employers. He consults a law firm owned by Mrs. Justice, who agrees to take up Henok’s case. The law consulting firm, owned by Ms Justice advises him that if Henok wins his case he can expect a compensation of 30,000 birr but if he loses he will receive nothing. The law consultant firm estimates her fee to be 5,000 birr. As an alternative the consultant offer him a ‘no win, no fee’ deal under which he pays no fee but if he wins his case, the consulting firm will take half of the compensation he receives. Henok also asked to pay his employer’s cost which is 1000 birr in both deals. He can decide against bringing the case, which will incur no cost and result in no compensation. Based on the information given above: a. Develop a payoff table to Henok’s case b. Advise Henok what to do: i. Using the maximax decision ruleii. Using the maximin decision rule.iii. Using the Minmax regret decision rule
Allen was involved in an auto accident in which he was at fault. His car sustained damages in the amount of $,327. The other vehicle had damages costing $1,309, in repairs. Allen was not injured, but the driver of the other car required medical treatment costing $22,619 and a passenger's injuries totaled $24,051. Addittional property damage amounted to $3,460. Allen's policy includes 50/100/50 liability, $250 deductible collision and full coverage comprehensive. Determine the amount of damages the insurance company is required to pay?
The Metropolitan Bus Company (MBC) purchases diesel fuel from American PetroleumSupply. In addition to the fuel cost, American Petroleum Supply charges MBC $250 perorder to cover the expenses of delivering and transferring the fuel to MBC’s storage tanks.The lead time for a new shipment from American Petroleum is 10 days; the cost of holding a gallon of fuel in the storage tanks is $0.04 per month, or $0.48 per year; and annualfuel usage is 150,000 gallons. MBC buses operate 300 days a year.a. What is the optimal order quantity for MBC?b. How frequently should MBC order to replenish the gasoline supply?c. The MBC storage tanks have a capacity of 15,000 gallons. Should MBC considerexpanding the capacity of its storage tanks?d. What is the reorder point?

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