Numerade

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Use the Euclidean algorithm to hand-calculate the greatest common divisor for the integers given below. 1,836 and 595 Step 1: Find q1 and r1 so that 1,836 = 595 · q1 + r1, where 0 ≤ r1 < 595. Then Your answer cannot be understood or graded. More Information = 1,836 − 595 · q1. Step 2: Find q2 and r2 so that 595 = r1 · q2 + r2, where 0 ≤ r2 < r1. Then = 595 − · q2. Step 3: Find q3 and r3 so that r1 = r2 · q3 + r3, where 0 ≤ r3 < r2. Then = − · q3. Step 4: Find q4 and r4 so that r2 = r3 · q4 + r4, where 0 ≤ r4 < r3. Then = − · q4. Step 5: Conclude that gcd(1,836, 595) = .

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Question 2. (5 Marks) (a) Use Euler method to solve the following differential equation: $\frac{dy}{dx} = 2x + y = f(x, y), y(1) = 2$ which means $(x_0 = 1, y_0 = 2)$ Complete the following table: | n | $x_n$ | $y_n$ | $f(x_n, y_n)$ | $y_{n+1} = y_n + h f(x_n, y_n)$ | |---|---|---|---|---| | 0 | | | | | | 1 | | | | | | 2 | | | | | | 3 | | | | | Euler Method: $y_{n+1} = y_n + h f(x_n, y_n)$

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15. At time t=0, a bullet is fired vertically upwards with a speed of 98m/s. At time t=5 seconds a second bullet is fired vertically upwards with the same speed. If the air resistance is neglected. Which of the following is correct? a. the two bullets will be at the same height above the ground at t=12.5 sec b. the two bullets will reach back their starting points at the same point c. the two bullets will have the same speed at t=20s d. the two bullets will attain the same maximum height

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In endocrinology, which would be an indication that synergism occured? hormones working together produce a larger effect than predicted. one hormone triggers the secretion of a second hormone. one hormone inhibits the release of a second hormone. hormones working together produce a smaller effect than predicted. a hormone can exert its full effects only in the presence of another hormone.

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Multiple Choice Question Which of the following medical services is included as a related service under the Individuals with Disabilities Education Act? O assisting in the identification of hyperactivity disorder O prescribing medication O specifying drug consumption O performing routine physical examinations

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Why did smaller states oppose the Virginia Plan? 1. The plan created an electoral college. 2. The plan made representation in the legislature proportional to state population. 3. The plan created separation of powers without a system of checks and balances.

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List 5 guidelines each for identifying a fad diet AND a healthy diet (5 guidelines for each).

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Explain how alternative splicing yields more than one kind of mature, processed RNA—and thus more than one protein product from a single gene.

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1. Consider the following table that describes an implementation of an instruction set architecture and the occurrence frequency of the instructions in a given benchmark. (25 pts) Instruction Class clock cycles (CPI) Frequency A 6 20% B 5 10% C 2 25% D 8 5% E 4 40% a. Compute the overall CPI for the given benchmark. (7 pts) CPI = b. The clock frequency is 2.5 GHz and the number of instructions in the benchmark is 10 billion. Compute the execution time of the benchmark. (8 pts) T= c. Assume that you are given an opportunity of reducing the CPI of any one class of instruction to 1. You can select at most one instruction to improve. Which instruction class would you choose and how much can the performance be improved? (10 pts)

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For the mechanism in Figure: (a) Calculate its mechanical advantage for the position shown. (b) Calculate and plot its mechanical advantage as a function of the angle of link AC as it rotates from 15 to 60°. Figure $F_{in}$ C AB = 105 AC = 304.6 BD = 172 All lengths in mm Y 45° 156.2 2 D 3 60.64° X E 57 4 62.9 119.9 F 42 243 165 $F_{comp}$ B 148.4 A 15.64° 27

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dalton o.