Please don't provide handwritten solution .... Given the functions f(x) = sinxfunction y=f(x) + g(x).O a) (y = R}Ob) [ye R-Isys!}c) {y € R₁ 2 ≤ y ≤ 4}R,d) {y € R₁ - 3 ≤ y ≤ 3}andg(x) = 3, determine the range of the combined

Answered: Given the functions function y=f(x) +…

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
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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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?
Nathan's house is totally damaged by Hurricane Sandy. He has to rent an apartment, which costs him $1000/month. His normal expense for meal is $400/month, but now he spends $600/month for meal. His normal expense for laundry is $100/month, but now he spends $200/month for laundry. Assume his other expenses do not change. How much compensation can Nathan get from his HO-3 Policy, Coverage D (Additional living expenses) per month? O a. $1,800 O b. $1,500 O c. $1,300 O d. $300

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Given the functions function y=f(x) + g(x). O a) (YER} Ob) {ye R₁-1≤y≤1} Oc) {y € R, 2 Sy≤ 4} Od) {ye R₁-3 ≤ y ≤3} f(x) = sinx and g(x) = = 3, determine the range of the combined