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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)
A biological reactor is used to treat wastewater from a small community (Q = 100,000 gpd). The influent BOD5 concentration to the reactor is 200 mg/L and the required effluent BOD5 concentration is 30 mg/L.
A crane is placed along the easterly sideline of a building, but 25 feet from the front of the building. The building to be erected is a 6 story building that is 100 feet wide by 50feet deep. YOu may assume that each story is 15 feet.
The average P concentration in the runoff if the overall (agricultural and residential areas) runoff coefficient = 0.4, 40% of P is removed from the agricultural area by rainfall, and 90% of P is removed from the residential area by rainfall.
How much annual income would be need to be generated over a 5 year period to be equivalent to $4,000 over an 8 year period. Consider 6% nominal interest (compounded annually) for both cases.
What percent increase in shear force would be experience on the flat sides of a 40 ft long truck trailer as the truck speed increases from 65 mph to 75 mph. Kinematic viscosity of the air is 1.6x10^4 ft^2/s.
Evaluate company performance in relation to GRI standards and comment on Stigler's theory.
A 2:1 natural slope is underlain by a 3-m thick (measured vertically) soil cover over bedrock. Compute the factor of safety by using an effective stress infinite slope analysis with c'=0 and o' (theres a line between that)= 35 degrees for the soil..
determine the power developed by the force when t = 5s. Hint: First determine the time needed for the force to cause motion.
What pressure gradient is required to accelerate water vertically upward in a vertical pipe at a rate of 0.5g
How many tons of asphalt concrete will be required to overlay a 3-mile-long, 24-ft.-wide road with 2.5 in. of wearing course asphalt concrete that has a density of 146.3 pcf
A sample of dry sand with a specific gravity total of 16.49 kN/m3 and a relative density of 2.67 grains, is placed outdoors. During a rainy period, the sample volume remains constant but the degree of saturation increases to 40%.
If it absorbs 100 Joules each cycle from the hot reservoir, how much work does it do. How much heat is given off in each cycle If each cycle takes 0.5 seconds, find the power output of the engine.
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