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i need the answer please QUESTION 1 X2 diameter X1 diameter Y2 Y3 QUESTION 2 Water...
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3, Cov(X1, X2) = 2, Cov(X2, X3) = -2, 5. Let Var(x1) = Var(X3) = 2, Var(X2) Cov(X1, X3) = -1. i) Suppose Y1 = X1 - X2. Find Var(Y1). ii) Suppose Y2 = X1 – 2X2 – X3. Find Var(Y2) and Cov(Y1, Y2). Assuming that (X1, X2, X3) are multivariate normal, with mean 0 and covariances as specified above, find the joint density function fyy, y,(91, y2). iii) Suppose Y3 =...
Consider the following equations: y1 = a1y2 +a2y3 +x1 +x2 +e1 (1) y2 = by1+2x3+x1+e2 (2) y3 =cy1+e3 (3) Here a1, a2, b, c are unknown parameters of interest, which are all posi- tive. x1, x2, x3 are exogenous variables (uncorrelated with y1, y2 or y3). e1, e2, e3 are error terms. (a) In equation (1), why y2,y3 are endogenous? (b) what is (are) the instrumental variable(s) for y2, y3 in equation (1)? (no need to explain why) (c) In...
Question 6 A water jet discharges from a water tank through a 100 mm diameter pipe as shown in Figure 3. The tank is 1 m wide (into the page). The weight of the tank is considered to be negligible. Pwater 1000 kg/m3. Calculate the following: The weight of water in the tank [3 marks] (b) Mass flow rate through the pipe [3 marks) (c) The force exerted by the water jet on the wall [4 marks] Air wall 10...
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Show that the set R2, equipped with operations (x1, y1)F(x2, y2) = (x1 + x2 + 1, y1 + y2 – 1) A: (2, 3) = (Ag+1 – 1, 2g - A+1) defines a vector space over R. Show that the vector space V defined in question 1 is isomorphic to R² equipped with its usual vector space operations. This means you need to define an invertible linear map T:V R2.
1. Water enters the constant 130-mm inside-diameter tubes of a boiler at 7 MPa and 65°C and leaves the tubes at 6 MPa and 450°C with a velocity of 80 m/s. Calculate the velocity of the water at the tube inlet and the inlet volume flow rate. [5-14] 2. Air enters a nozzle steadily at 50 psia, 140°F, and 150 ft/s and leaves at 14.7 psia and 900 ft/s. The heat loss from the nozzle is estimated to be 6.5...
Question 2 4 pts Question 1lb) If viscous effects are negligible, determine the flow rate Qt (m3/s) at Point 1 in the large pipe if h-5.8 m and V2 66m/s The density of water is 1000 kg/m3. Atmospheric pressure Patm 101.325 kPa. Gravitational acceleration g- 9.81 m/s Your answer should be in m3/s and accurate to4d.р. Question 3 3 pts If viscous effects are negligible, determine the gauge pressure p1 (kPa) at Point 1 in the large pipe for Q1...
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1 pts Question 1 1.5 m Water | | 40 cm diameter 20 cm diameter nozzle For the water filled tank and pipe shown in the figure above, calculate the volumetric flow rate Q when the height h-3.27m. Assume there are no losses. Give your answer to the closest 0.001m/s No new data to save. Last checked at 0:45 Submit quiz Q:
Question D.1 A2 Not sure Water flows between two tanks connected by a 100 m long pipe as shown in figure D1-1 below The tanks have a free surface height difference of 15 m and are both open to atmosphere. The first 30 m of pipe from the upper tank (section 1) has an internal diameter of 50 mm and a friction factor of 0.006, whilist the remaining 70m of pipe (section 2) has an internal diameter mm and a...
QUESTION 1 Water at 10 °C is flowing in a 90 bend pipe, with inner diameter of 150 mm, at an average velocity of 3.0 m/s and gauge pressure of 300 kPa. The pipe is laid in the horizontal plane as shown in figure below. The magnitude of the resultant (horizontal) force required to hold the bend in place is: a 5.46 kN b.7.72 kN Oc 10.92 kN d.5.15 kN . None of the other answers QUESTION 2 A 25.0...
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Question 5 Water flows through an orifice plate with a loss coefficient, K."8 and a pipe diameter of D.-55 mm. The flow is controlled by a gate valve downstream of the plate with a pipe diameter 50% less than that of the orifice plate, i.e. Du 0.5D.. If the total head loss (drop) across both components is 35 m, determine the loss coefficient of the valve, K, to...