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y'=y+1 , y(0)=1 ; y(x)= 2e^(x) -1 An Initial value problem and its exact solutions y(x) are given . Apply euler's method twice to aproximate to this solution on the interval [0,(1/2)] , first we step size h=0.25 then we step size h=0.1 . Compare the three-decimal-place values of the two approximations at x=(1/2) with the value y(1/2) of the actual solution . then do the same for PART B: y'=-2xy , y(0)=2 ; y(x)=2e^(-x^2)
The 15- puzzle problem has a 4x4 grid with 15 pieces in it and one blank square. You should output the proper sequence (moving pieces up, down, left, or right into the blank square) to put the 15 pieces in order.
An alloy has a yield strength of 41 ksi, a tensile strength of 57 ksi, and an elastic modulus of 16 X 10^6 psi. A cylindrical specimen of this alloy 0.5 in in diameter and 10 in long is stressed in tension and found to elongate 0.3 in.
Suppose an expert hypothesizes that the probability of a rainfall event causing a particular stormwater retention pond to overtop can be modeled with a beta (a, B ) distribution. Over n years of data collection, the percentages of rainfall events
Draw block diagrams of the unit operations necessary to treat the following wastes to effluent levels of BOD5 = 200 mg/L, SS = 100 mg/L, P = 5 mg / L (required for discharge into a sanitary sewer).
The phase diagram of a typical simple substance contains three phases , liquid vapor and solid separated by boundaries . The critical point terminates the liquid-vapor transition, in water it is at Pc=220.9 bar and Tc=374 degres celcius
The water line to a house is usually 3'4" copper tube. Find the flow rate that can be delivered and still maintain laminar flow in the tube
The number of telephone call coming in the business switchboard average 4 minutes/call. Let x be the number of calls received, Poisson variable. a. What is the probability there will be at least one call in a given one minute period.
he project duration is planned for 20 weeks. The project budget is $40,000 and is planned to be spent on a level bases through out the project. You are at the end of week 10, the accounting department tells you the project has spent $19,500
Find the minimum length of runway required for the landing (I found to be 300ft). Find the position on the runway where the speed is 50ft/s and the time it takes for the speed to reach 50ft/s
A minimum contact time of 30 min is required to reduce the pathogen concentration from 100 pathogens/L to below 1 pathogen/L through a first- order decay process. You plan on treating water at a rate of 1,000 gal/min.
Write a C program for a HCS12 microcontroller that writes the value, 0x78, to Memory Location VAR1 and then calls a delay function. The delay function should generate a delay of 0.25 milliseconds.
The maximum specific growth rate of the organisms driving this reaction is 5.0 days -1 and the growth rate is 0.54 day-1. The activated sludge tank has a volume of 40 m3 and the flow rate into it is 400 m3/day.
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