Please don't provide handwritten solution ....... Modelling the Spread of News [See Prob. 7.5.30]Suppose that news spreads through a city of fixed size of 200000 people at a time rate proportional to the number of people whohave not heard the news.(a.) Formulate a differential equation and initial condition for y(t), the number of people who have heard the news t days after it hashappened.Noone has heard the news at first, so y(0) = 0. The "time rate of increase in the number of people who have heard the news isproportional to the number of people who have not heard the news" translates into the differential equation),d = k t-ydtwhere k is the proportionality constant.(b.) 5 days after a scandal in City Hall was reported, a poll showed that 100000 people have heard the news. Using this informationand the differential equation, solve for the number of people who have heard the news after t days.y(t) =P-(1-P)*exp(k*5)⠀Note: You can earn partial credit on this problem.You are in the Reduced Scoring Period: All additional work done counts 75% of the original.Preview My Answers Submit Answers

News spread through a city of fixed zise of 200000 people at a time rate propo rtional to the no. of…

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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.
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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
A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…
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?
what is the right answer?! Please don't provide hand written solution
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?
Luke Thorndike, founder and current president of Thorndike Sports Equipment, had guided the business through 34 successful years and was now interested in bringing his favorite grandson Ted into the company. The elder Thorndike, possessed of a sharp but fading wit, begins the meeting with, “Great to see you, Ted. You always were a high-strung kid. Thought you might like to join our tennis racquet division.” Ted counters, “Not quite, but you’re getting warm, Luke.” The Thorndikes have always been a strange bunch. “Seriously, Ted, I’m getting a little up in years, the microcomputer I bought myself for Christ- mas is collecting dust, and I think you and your business degree could bring some new blood to the company. I’d like you to be my executive vice president. I’ve been running this outfit by the seat of my pants for a lot of years now, and the world just seems to be getting too big and too complicated these days. I’ve got index cards and file folders just about piled up to the ceiling…
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Solve the following word problems.

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