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Radiation makes it impossible to stand close to a hot lava flow. Calculate the rate of heat transfer by radiation from $2.5 \text{ m}^2$ of $1196 \text{ deg C}$ fresh lava into $30 \text{ deg C}$ surroundings, assuming lava's emissivity is $1.2$. $\sigma = 5.67 \times 10^{-8} \text{ J/(s m}^2 \text{ }^\circ\text{C)}$ Use the sign convention for heat leaving or entering the system. $\frac{Q}{t} = \text{ } \text{kW}$

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The human gestation period consists of three trimesters of 1 month each. two trimesters of 1 month each. two trimesters of 2 months each. fertilization and one trimester. three trimesters of 3 months each.

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A(n) ? is current flowing through the air between conductors or between a conductor and a grounded part.

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Suppose the Canadians suddenly have a switch in taste from Japanese automobiles to American automobiles. This causes the equilibrium quantity of net exports to: Select one: O a. Remain Unchanged O b. Increase c. Decrease Clear my choice

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For the following exothermic reaction at equilibrium $A_{(g)} + B_{(g)} \rightleftharpoons 2 C_{(g)}$ Which of the following conditions will cause the reaction to produce more products? Select as many answers as are appropriate however marks will be deducted for incorrect guesses. Select one or more:

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Optimization: Describe some common practices used to write efficient SQL code.

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Find the value of integral $\int_C (x^2 + y^2 + z)ds$, where $C$ is parameterized by $\vec{r}(t) = (5\cos(5t), 5\sin(5t), 4t)$ for $0 \le t \le 2$.

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Problem 1 (10 mark) A Turbojet engine at SLS conditions ($P_o$ = 101 kpa, $T_o$ = 288 K). If the Engine pressure ratio EPR = $P_{t5}/P_{t2}$ = 3.14 and the Specific thrust ST = 700 m/s. At design condition calculate the following: a. Compressor pressure ratio $\pi_c$, b. Turbine inlet temperature $T_{t4}$, c. The type of nozzle and its condition for maximum thrust. Assume the following: • The compressor and turbine polyropic efficiencies $e_c$ = $e_t$ = 0.9. $\begin{cases} 1, & M < 1 \\ (1 - 0.075(M_o - 1))^{1.35}, & 1 < M < 5 \end{cases}$ • Intake pressure loss ($\pi_d$ = $\pi_{dmax}$ $\eta_r$), $\eta_r$ = • Intake, Burner and nozzle pressure loss ($\pi_{dmax}$, $\pi_b$, $\pi_{AB}$, $\pi_n$ = 0.97), $\eta_b$ = 0.97 • Specific heat ratio for compressor and turbine $\gamma_c$ = 1.4, $\gamma_t$ = 1.33 $\rightarrow$ $C_p$ = $\frac{\gamma R}{\gamma - 1}$ • The fuel heating value $h_{pR}$ = 47 MJ/kgf, $\eta_m$(1 + f) = 1

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A) Add the instruction “addi” (Add immediate) to the shown single-cycle simple processor. Add any datapath and control signals and show the value of the control signals while executing the new “addi” instruction. B) This question is similar to part “A” except that we wish to add a variant of the “sw” (store word) instruction, which increments the index register after storing a word in memory. This instruction (“l_inc”) corresponds to the following two instructions: sw $rs, L($rt) addi $rt, $rt, 1 Again add any datapath and control signals and show the value of the control signals while executing the new instruction.

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24. Brian has 800 ft of fencing to build a pen for his hogs. If he has a river on his property that he can use for one side of the pen, what is the maximum area of the pen? 25. Mrs. Savage wants to enclose a rectangular garden. The area of the garden is 800 square feet. The fence along three sides costs $6 per foot, and the fence along the fourth side, which needs to be reinforced to keep out her cows, costs $18 per foot. Find the length of the reinforced fence that will minimize Mrs. Savage's cost of enclosing the garden.

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