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Consider the function F(x)=x-2*sin(x). Find the location on the positive x-axis where f(x)=0. Note that x=0 is a trivial solution and is not the intended solution. Use Newton-Raphson method. For this problem, a good first guess of the solution is important. Plot the function to obtain your first guess. An example spreadsheet is available on Moodle. Your answer must contain at least 6 digits beyond the decimal point. Consider that the variable, x, is in radian and no conversion to degrees is required.
Groundwater has been contaminated with three chemicals: benzene (log Kow 2.13), pentachlorobenzene (log Kow 5.03), and naphthalene (log Kow 3.36). The aquifer (rs = 2.3 g/cm3; h = 0.4; foc = 0.02)
Consider a high-rate sedimentation basin with tube settlers. The basin is 120 feet long and 30 feet wide. The length of the basin covered by tube settlers is 90 feet.
It is expected that 95% saturation will be attained. Calculate the volume of soil that will be needed if the void ratio of the fill material is 1.3
A constant pressure container is filled with 1 kg of stainless steel and 0.5 kg of PVC (polyvinyl chlo- ride) both at 20C and 0.25 kg of hot air at 500 K, 100 kPa. The container is now left alone with no external heat transfer.
explain how mechanical strength, melting temperature , and thermal exapntion are related at the atomic level. specifically, how do they relate to each other and the bonding energy between the atoms.
The volume of the first pond is 5.0 million gallons, and the second pond is 3.0 million gallons. Assuming complete mixing within each pond, find the BOD concentration leaving each pond
if a clay slope at a construction site fails derive an equation for the undrained shear strength of the clay given that the shear reistance along L of the slope can be given as: (SuH0)/ sin beta
Plotted property surveys usually show the direction of property lines as bearings and not azimuths. True or false give reason to answer?
The slope of the hill is such that for each 1.5 km of horizontal distance, the change in elevation is dz meter. Determine the maximum value of dz if the flow is to remain laminar, with a temperature of T=20°C and pressure all along the pipe is con..
A gas bubble is formed at the tip of a small tube which is completely immersed in a large body of liquid. The bubble remains in contact with the open end of the tube in a way that allows us to control the pressure P inside the bubble.
Provided that the amplitude is sufficiently great, the human ear can respond to longitudinal waves over a range of frequencies from about 20 Hz to about 20000Hz. Compute the wavelength corresponding to these frequencies a.) for waves in air ( v= 344 ..
For the vector 100i+150j-300k kN determine its magnitude, the direction, angle alpha, beta, and gamma and the unit vector. magnitude = 350 kN angle alpha is suppose to = 59 degrees
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