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Evaluate the indefinite integral. (Remember the constant of int $$ \int \sin(t)\sqrt{1 + \cos(t)} dt $$

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In DHCPv6 stateless mode, what does a client obtain from a router advertisement?

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\( y=2 x^{2} \sqrt{2-x} \)

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Stage 3 sleep is marked by ______ waves ? alpha ? beta ? theta ? delta

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Write the name of 2 factors necessary for coagulation (other than the coagulating factors and platelets) and why are they needed in coagulation

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is/are a country's GDP divided by its population. National income and product accounts (NIPA) Gross private domestic investment (GPDI) GNP GDP per capita

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3.44 points The correct spelling for multiple openings through a structure

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Question 2 [4 points] A small room with 5 m \times 4 m \times 3 m (height) is fitted with 2 tonnes of refrigeration (TR) system. The room experiences a sensible and latent heat gain of 5 kW from the outside through radiation and convection. The room should also gain 1 kW through occupants and 1 kW through equipment and machines like refrigerators, microwaves, etc. The outdoor conditions are 45°C and 50% RH and the inside desired conditions are 25°C and 50% RH. Ignore ventilation and infiltration. Now, the 2 TR refrigeration system breaks down, and a 1 TR system accidently replaces it. What will happen to the inside air temperature when you start from 25°C and turn on the 1 TR AC with the original cooling loads present? Qualitatively show through the temperature profile. (1) Will the room temperature ever reach a steady state? (1) If so, can you find the approximate time when it will reach that steady state? (2) (Hint: Energy balance)

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How to write a Python code that constructs a 95% confidence interval around a mean.

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Answer the questions briefly. Mixed Problems on Topics 1. A three-phase short transmission line has a lumped impedance of 0.25+0.5j ohms. If the load side current is 250e^{j10} A, what is the real power loss in the line? 2. A three-phase medium length transmission line has lumped impedance Z = 0.25+0.5j ohms and lumped admittance Y = j100x10^{-6} S. If the load voltage is 100 kV and current is 5000e^{-j10} A, find the real power lost in the line. 3. Calculate the efficiency of the line in Q2.

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