Numerade

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Extra Credit (2pts): You must show all work to earn credit. No credit will be given without supporting work. Suppose that triangle ABC is a triangle in $$R^3$$ (i.e. three space). Furthermore, suppose that: the coordinates of point A are $$(x_1, x_2, x_3)$$, the coordinates of point B are $$(y_1, y_2, y_3)$$, and the coordinates of point C are $$(z_1, z_2, z_3)$$. Give algebraic proofs of the following statements. (a) Prove that: $$\vec{AB} + \vec{BC} + \vec{CA} = \vec{0}$$ (b) Suppose D is the midpoint of segment AC, and suppose that E is the midpoint of segment AB. Prove that $$\vec{DE}$$ is parallel to $$\vec{CB}$$.

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to start comparing the "Philosophy of practice" in a chain pharmacy vs. an HMO, explore the primary goals and approaches each entity adopts to deliver healthcare services to their patients.

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- found in plant seeds like corn- can be broken by the enzyme

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According to the active approach to policy, an expansionary gap eventually gets eliminated when: ? the aggregate demand curve shifts to the left. ? the aggregate demand curve shifts to the right. ? the aggregate supply curve shifts to the right. ? there is an upward movement along the aggregate supply curve.

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? Part E Shown in the figure is the v vs. t curve selected in the previous part. What is the area A of the shaded region under the curve?(Figure 2) Express your answer in meters. ? View Available Hint(s) ? ??? ? A = Submit m

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12. Pulley system A system composed by two homogeneous coaxial pulleys of the same material and same thickness $h$: $P_1$ of radius $r$ and $P_2$ of radius $R = 2r$ has a pure rolling kinetics with respect to the ground in $C$. The smaller pulley is wound by a rope of elasticity $k$ and equivalent damping coefficient $3c$, as sketch in the figure. The entire pulley has a total mass $m$. Compute the free body diagram of the pulley system subject to gravity, the dynamic equilibrium, the natural frequency and the adimensional damping ratio of the system. Data: $r = 10$ cm; $h = 2$ cm; $m = 10$ kg; $c = 130$ Ns/m; $k = 1500$ N/m

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EEE322-Electrical Engineering Practice REVISION QUESTIONS l. Define the following terms: hazard, danger, damage, risk, accidents. How do they relate to electrical safety? Discuss the importance of risk perception and hazard control in designing safe electrical systems. 2. Explain Ohm's law and its significance in AC and DC circuits. Discuss the health effects associated with electrical currents. 3. Discuss the importance of proper wiring methods, polarity and grounding in branch circuits.How does each factor contribute to electrical safety? 4. Explain the testing procedures for polarity, continuity and earth loop impedance in branch circuits. 5. Explain the theory behind Ground Fault Circuit Interrupters (GFCIs). Discuss the different GFCI configurations and their applications in electrical systems. 6. Discuss the factors that contribute to combustion and explosions in hazardous locations. Identify common electrical ignition sources and explain the importance of controlling ignition hazards. 7. Define electrical lockout/tag out and explain its importance in hazardous energy and the training requirements for personnel. 8. Explain the use of graphical symbols in electrical drawings.Provide examples of different types of diagrams used for electrical equipment.Describe the views and sections commonly depicted in electrical equipment drawings. 9. Discuss the specifications and characteristics of analogue measuring instruments resolution, accuracy,reliability, linearity, and drift. Describe the sources of error and the calculation of total error in analogue instruments. 10. In the design of electrical components and equipment, explain the considerations regarding electrical conduction, insulation, magnetic fields, electromagnetic compatibility, mechanical stresses, thermal effects, vibration, and noise. Discuss the importance of studying steady-state and transient operation in design. l l.Explain the potential hazards associated with flammable/combustible materials in hazardous locations. Discuss the role of electrical ignition sources and methods for controlling ignition hazards. 12.Discuss the concept of power in electrical systems. Define real power, reactive power, and apparent power. Explain the relationship between these power components in AC circuits. Provide an example illustrating the calculation of power components in a given AC circuit. l3.Define electrical resistance and explain its relationship with Ohm's law.Discuss the effect of temperature on resistance and describe the temperature coefficient of resistance.Provide an example illustrating the calculation of resistance in a given circuit.

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After finding the partial fraction decomposition, $\int \frac{12x^2 - 9x + 24}{(x^2 + 5)(x - 2)} dx = \int \text{________ } dx$ Notice you are NOT antidifferentiating...just give the decomposition.

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The switch in the circuit shown in figure below has been closed for a long time. It opens at $t = 0$. Find the current $i(t)$ for $t \ge 0$.

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Let A and B be events with $P(A) = 0.8$, $P(B) = 0.2$, and $P(A \text{ and } B) = 0.12$. (a) Are A and B independent? Explain. (b) Compute $P(A \text{ or } B)$. (c) Are A and B mutually exclusive? Explain. Part: 0 / 3 Part 1 of 3 (a) Are A and B independent? Explain. The events A and B (Choose one) independent since (Choose one) $P(A)P(B) = P(A \text{ and } B)$ $P(A)P(B) \neq P(A \text{ and } B)$ $P(A \text{ and } B) \neq 0$ $P(A \text{ and } B) = 0$

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michael m.