Numerade

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(6) Pendulums with spring: Derive the 2 equations of motion for the 2 pendulum system shown: $L_1$ $\theta_1(t)$ $L_2$ $m_1$ $L_2$ $L_1$ $\theta_2(t)$ $m_2$

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What is the area between the curves y=sin(x) y = x, x = pi/2, and x = pi?

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Hosaia, LLC is a manufacturer of cabinets. Hosaia introduces all materials at the beginning of production. Throughout the manufacturing process, conversion cost is incurred evenly. The quality control department had 5,400 units of work-in-process on January 1 that were 20% complete as to conversion costs. During January, 44,800 units were completed. On January 31, 6,300 units remained in production, 60% complete with respect to conversion costs. What is the total equivalent units of direct material for January? What is the total equivalent units of conversion for January?

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If the short-run average variable cost of production for a firm is decreasing, then it follows that

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A researcher was administering a simple reaction time test to one of his study participants. They were instructed to push a button as soon as they heard a high-pitch tone. Figure 1 represents an EMG signal of a flexor muscle of the index finger (high amplitude indicates a button press). Based on this signal below, which segment of the EMG signal represents the time it took to process the auditory stimulus the participant heard: 1023 5 1 2 600 400 200 0 Segment 1 Segment 5 Segment 2 Segment 4 3 4

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A circular sector shown in the figure is cut out and rolled into a right circular cone where the two 36-inch radial segments are joined. Find the following measurements by exact computation. (a) The radius of the base of the cone. (b) The height of the cone. (c) Use your answers to parts (a) and (b) to compute the volume of the cone. (a) The radius of the base of the cone is (Simplify your answer.)

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R1 2.2k V1 9Vdc R2 10k R3 4.7k 0

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A 3750 KVA, 69 KV - 4.16Y/2.4KV, delta-grounded wye-connected distribution substation transformer supplies two distribution feeders. Each distribution feeder is protected by three single-phase, 400A, type D reclosers. The reclosers are set to operate once on the instantaneous curve and three times on the D time delay curve. The maximum available fault current on the 4.16 KV bus is 7000A. In the event of a fault on either of the 4.16 KV distribution feeders, the reclosers should operate to lockout before the transformer high-side fuse blows. On the same log-log scale, plot the following: A.) Recloser trip characteristics referred to the high-voltage side for worst-case fault conditions on the low-voltage side of the transformer B.) The adjusted transformer withstand characteristics for worst-case fault conditions Determine the proper E-rated fuse to selectively coordinate with the low-side reclosers and protect the transformer against through faults.

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III. Find the number of distinguishable permutations of the letters in each word. 1) MATHEMATICS= 2) PROBABILITY = 3) FACTORIAL= 4) PHILIPPINES = 5) COMBINATION= 6) ALICPOS=

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[\sqrt{64} - 8 \div 2^3 + (15 - 5)] + 4^2 =

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mason f.