Please don't provide handwritten solution ... Given that f(x) = n(2)+1, which of the following is equal to the limitf(e+h)-f(e)?hlimh→00-10(+1)This limit does not exist.①-1

Answered: Given that f(x) = n(2)+1, which of 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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The student chapter of Philippine Society of Mechanical Engineers is planning a 6-day trip to the National conference in North of Luzon. For transportation the group will rent a car from either the Motor Pool Corporation or a local car dealer. The Motor Pool charges Php 20.80 per km, has no daily fee, and the motor pool pays for the gas. The car dealer charges Php 1,500 per day and Php 11.2 per km, but the group must pay for the gas. The car's fuel rating is 40 km per gallon, and the price of the gas is estimated to be Php 96 per gallon. a. If the students anticipate driving 1,200 km total, from whom should they rent a car? b.At what point, in km, is the cost of both options equal? c. The car dealer has offered a special student discount and will give the students 50 free km per day, from whom should they rent a car. What is the new breakeven point?
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1. Use Laplace transforms to solve the following initial value problem:y” + 2y’ + y = 2e-1 , y (0) = 1, y’ (0) = 0 2. Find the Laplace transform of the following function: f(t)=sin(2t)cos(2t) 3. Compute the inverse Laplace transform of the following function. Your answer should be a function f(t).The function was shown in figure 1.
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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?
Solve the following word problems.

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Given that f(x) = n(2)+1, which of the following is equal to the limit f(e+h)-f(e) ? h lim h→0 0-1 0 (e+1) This limit does not exist. 0-1