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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You have been named the Good Reader in your town’s reading club. You’re invited to give a 15-minute speech at the annual reception. You want to spend the speech talking about three themes; (1) how you came to love books, (2) the camaraderie you feel in the club, and (3) your long-term goals for encouraging reading in the town. You would like to spend at least 2 minutes talking about each theme. How many ways can you segment your time so that you talk enough about each theme? Note that you should assume the number of minutes you spend talking about each theme is a natural number. One example of a valid breakdown is 3 minutes on theme 1, 5 minutes on them 2, and 7 minutes on theme 3. Describe how you arrived at your solution.
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In preparing for the upcoming holiday season, Fresh Toy Company (FTC) designed a new doll called The Dougie that teaches children how to dance. The fixed cost to produce the doll is $100,000. The variable cost, which includes material, labor, and shipping costs, is $32 per doll. During the holiday selling season, FTC will sell the dolls for $40 each. If FTC overproduces the dolls, the excess dolls will be sold in January through a distributor who has agreed to pay FTC $10 per doll. Demand for new toys during the holiday selling season is extremely uncertain. Forecasts are for expected sales of 60,000 dolls with a standard deviation of 15,000. The normal probability distribution is assumed to be a good description of the demand. FTC has tentatively decided to produce 60,000 units (the same as average demand), but it wants to conduct an analysis regarding this production quantity before finalizing the decision. (a) Determine the equation for computing FTC's profit for given values of the…
Steeve would like to own a stock in either EasySoft Corporation or SuperSneeze International. If EasySoft Corporation has stock price of $6.30 and earnings per share of $1.89, and SuperSneeze International has a stock price of $1.70 and earnings per share of $0.136. Which company would Steeve choose to invest in? Why?
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Q) Newlyweds Nick and Dana each work two part-time jobs in order to make ends meet as they finish college. Nick’s college schedule allows him to work a total of 30 hours per week both for a department store that pays him $9.50 per hour and for a fast food restaurant that pays him $8.50 per hour. Dana’s college schedule allows her to work a total of 25 hours per week for a grocery store that pays her $10.00 per hour and for a novelty shop that pays her $8.00 per hour. The couple must earn $500 per week in order to eat and pay bills. Question 1: Solve the system by writing its augmented matrix in reduced row echelon form.
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
Write a complete solution including all necessary calculations, formulas, and a listing of all variables and their values Compare by % age boys test scores in Canada to boys test scores in Japan. Compare by %age girls test scores in South Korea to girls test scores in Russia
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Sara is a 57-year-old graphic designer who wants to retire 5 years from now. She earns $54,000/year and does not expect any raises if she stays in her job. Her daughter has told her about a new job opportunity that would offer a much higher salary, but to become eligible Sara would need to quit her job and spend a year taking classes. If she did that, next year she would earn $0 and pay $42,000 in tuition, and then she would earn $81,000/year for the final 4 years of her career. Sara likes the duties of the two jobs equally well, so this is strictly a financial issue for her. The interest rate is r. Question: How will she decide? Write down the calculation she will make. Would she be more likely to change jobs if the interest rate were higher or lower?
Mr. Saleh is one of the school canteen operators who joined The Supplementary Food Plan (RMT) organized by the Ministry of Education Malaysia. Assuming that each RMT student has been allocated RM3-RM4 for his meal per day. Due to that, Mr. Saleh needs to prepare one meal set consisting of one chicken rice and a box of milk for each RMT student. The raw cost of one week of meal preparation for 20 RMT students is as much as RM330 while for 100 RMT students are RM1650. The cost of chicken rice is twice the cost of the milk. Write simultaneous equations for the above situation. а. b. With the substitution method, determine the cost for chicken rice. с. With the elimination method, find the cost of each milk. d. Determine the raw cost of each RMT meal. Calculate the maximum number of RMT students that can be allocated if the weekly budget is RM2500. е.

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