2. An infinite sheet of uniform charge ps (C/m^2) is placed at z=0. Use Gauss' law to calculate the electric field at a distance z created by the sheet.
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- Find the Inverse Laplace Transform of Y(s) = 12 (s+5)*Solve (xex + y) dx − x dy = 0A cosmetics company fills its best selling jars of facial cream by an automatic dispensing machine. The machine is set to dispense a mean of 7.2 ounces per jar. Uncontrollable factors in the process can cause either underfill or overfill, both of which are undesireable. In such a case, the dispensing can be stopped and recalibrated. Regardless of the mean amount despensed, the standard deviation of the amount dispwnsed always has a value of 0.25 ounce. A quality control engineer routinely selects 36 jars from the assembly line to check the amounts filled. On one occasion, the sample mean is 7.8 ounces. Determine if there is sufficient evidence in the sample to indicate, at the 1% level of significance, that the machine should be recalibrated.
- Meena Chavan Corp.’s computer chip production process yields DRAM chips with an average life of 1,800hours and s = 100 hours. The tolerance upper and lowerspecification limits are 2,400 hours and 1,600 hours, respectively. Is this process capable of producing DRAM chips tospecification?find the Laplace {e^(1−t)sin(1 − t)u(t − 1)}Find the formula for g in terms of f. g(x) = -12 12 2.0 12 2.0 2.0 12 12 2.0 -12 Find the formula for g in terms of f. g(x) = -12
- Maximize z=4x+5y Subject to: x+y<or=4 x-y>or=-2 x<or=3 x>or=0, y>or=0Find the discharge coefficient, threshold heat flux, combustion efficiency and emissivity factor for both propane and butane separetly. The pipe which would contain thesge gases is 30 inches in diameter and has an operating pressure of 1000psig..A 45 kW rated solar power system has its power output and the Solar irradiance on the PV system measured during daylight hours over a day. Based on the following data, create a scatter plot of the power output of the PV system vs the solar irradiance and comment on the relationship between the two. Based on the data, can you tell which season this day was in? Solar Irradiance on the PV system (kW/m²) 0 0.079 0.333 0.571 0.751 0.86 0.914 0.93 0.904 0.803 0.606 0.345 0.054 Power output from the PV system (kW) 0 3.098 12.438 20.124 25.703 28.498 29.587 29.69 28.798 26.264 20.434 12.223 2
- Tolerance is the allowable amount of error above and below an ideal measurement. In a manufacturing firm, a detergent carton claims to contain 1.5 kg. The manufacturer allows for a tolerance of +0.005 kg per box of 24 cartons. Find the maximum and minimumacceptable amounts of detergent per box.use x=2 solve all parts(3) The Elon Company manufactures parts for an aircraft company using three computerized numerical controlled (CNC) turning centers. The company has to decide which machines are capable of producing a specific part with design specifications of 0.0970 inch ± 0.015 inch. The machines have the following parameters: Machine 1 (x= 0.0995, o = 0.004); Machine 2 ( = 0.1002, o = 0.009); Machine 3 (x = 0.095, o = 0.005). Determine which machines (if any) can produce the products within the design specifications. ||