Question Find the distance \( d \) from \( P_{1} \) to \( P_{2} \). \[ P_{1}=(1,-1,-1) \text { and } P_{2}=(3,4,-2) \] Find the distance d from P1​ to P2​. P1​=(1,−1,−1) and P2​=(3,4,−2)

Find the area between the loops of the limacon r = 3(1 + 2 cos 6). Area =

The table below shows the monthly cost of producing vintage model cars for collectors. Instructions: Enter your answers as a whole number. Fill in the missing values for total fixed cost, total variable cost, and total cost in the table below. Vintage Model Car Production Costs Output 0 100 200 300 400 Total Fixed Cost (dollars) $2,000 Total Variable Total The table below shows the monthly cost of producing vintage model cars for collectors. Instructions: Enter your answers as a whole number. Fill in the missing values for total fixed cost, total variable cost, and total cost in the table below. Vintage Model Car Production Costs Output 0 100 200 300 400 Total Fixed Cost (dollars) $2,000 Total Variable Total Cost (dollars) Cost (dollars) $2,000 $0 800 1,300 3,300 4,300

5-60 Helium is to be compressed from 120 kPa and 310 K to 700 kPa and 430 K. A heat loss of 20 kJ/kg occurs during the compression process. Neglecting kinetic energy changes, determine the power input required for a mass flow rate of 90 kg/min. 20 kJ/kg P2 = 700 kPa T, = 430 K He m= 90 kg/min P1 = 120 kPa T = 310 K

5-60 Helium is to be compressed from 120 kPa and 310 K to 700 kPa and 430 K. A heat loss of 20 kJ/kg occurs during the compression process. Neglecting kinetic energy changes, determine the power input required for a mass flow rate of 90 kg/min. 20 kJ/kg P2 = 700 kPa T, = 430 K He m= 90 kg/min P1 = 120 kPa T = 310 K

  A full journal bearing is 28 mm long. The shaft journal has a diameter of 56 mm with a unilateral tolerance of - 0.012 mm. The bushing bore has a diameter of 56.05 mm with a unilateral tolerance of 0.012 mm. The load is 2.4 kN and the journal speed is 900 rev/min. For the minimum clearance assembly find the minimum oil-film thickness, the power loss, and the side flow if the operating temperature is 65°C and SAE 40 lubricating oil is used.  

3- Helium is to be compressed from 120 kPa and 310 K to 700 kPa and 430 K. A heat loss of 20 kJ/kg occurs during the compression process. Neglecting kinetic energy changes, determine the power input required for a mass flow rate of 90 kg/min. 20 kJ/kg P-700 kPa 7,-430K He = 90 kg/min P = 120 kPa T, -310 K