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Which of the following are needed for Yellow fever to occur? (choose all answers that apply) virus Anopheles gambiae bacteria Humans Aedes aegypti

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Consider a consumer whose preferences can be represented by the following utility function: U(x,y)= 0.3log(y)0.5log(x). Let her income be I > 0 and the prices of goods x and y be Px > and Py > 0. Determine the proportion of income spent on good x. [Note: You may use the result that ∂[log(z)]/∂z = 1/z.]

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Money demand is driven by 3 factors. Which of the following is not one of them? A. Real National Income OB. Price Level OC. Interest Rates OD. Exchange Rates C NOV 6 757

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Suppose that a consumer's preferences are described by the following utility function: U(x) = x_1^{0.3} x_2^{0.7} i) Derive the Walrasian (Marshalian) Demands for goods 1 and 2 and list their properties. Show that indeed those properties hold true. Are the preferences convex? Show your work. (4 marks) ii) Are the First Order Conditions of the Utility Maximization Problem sufficient? (i.e., do they ensure that the utility function is indeed maximized?) (9 marks)

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A 14.1 cm long solenoid contains 765 turns and carries a current of 4.17 A. What is the strength B of the magnetic field at the center of this solenoid? B = T

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Oswego Clay Pipe Company sold $45,000 of pipe to Southeast Water District 45 on April 12 of the current year with terms 3/15. \frac{1}{60} Oswego uses the gross method of accounting for sales discounts. What entry would Oswego make on June 10, assuming the customer made the correct payment on that date?

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Q2. For the cable-pulley system shown below, determine the weight ($W_2$) to maintain the system in force equilibrium given weight $W_1 = 30$ kN. The pulley weight is small. (4 marks)

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• In free space, electric flux density, \(D = 5\rho^2/3 \hat{\rho} + 3z \hat{z} \) C/m² exists at a cylindrical volume defined by 2 m < \(\rho\) < 3 m, and 0 m < z < 4 m, as shown in Figure below. (i) Find volume charge density \(\rho_v\) at point (2, \(\pi\), 1) \(\rho_v = \) \(\Box\) C/m³ (ii) Prove the divergence theorem \(\oint_s \mathbf{D} \cdot d\mathbf{s} = \int_v \nabla \cdot \mathbf{D} \, dv\) is true for this case. \(\oint_s \mathbf{D} \cdot d\mathbf{s} = \Box \) C \(\int_v \nabla \cdot \mathbf{D} \, dv = \Box \) C

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Text: Seven curves. The curve y = 6x/(1 + x^2) and the interval -3 ≤ x ≤ 3 of the x-axis.

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6. (15 points) MIPS Code Optimization Consider the following MIPS code. addi $t5, $0, 5 addi $t6, $t5, 20 LOOP: beq $t5, $t6, END lw $s2, 0($s0) lw $s3, 0($s1) add $t1, $s2, $s3 sub $t2, $s2, $s3 add $t3, $t1, $t2 add $t4, $t4, $t3 add $t4, $t4, $s3 addi $t5, $t5, 1 addi $s0, $s0, 4 addi $s1, $s1, 4 j LOOP add $t1, $t4, $t4 END: a. (3 points) Explain what this MIPS code does. b. (4 points) How many instructions does this code execute? c. (4 points) Rewrite code above to minimize the number of MIPS instructions executed. d. (4 points) How many instructions does your new code execute?

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