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How would you find the displacement of the node with the global sitffness matrix?
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How to solve Integro-Differential Equation by using Laplace Transform. dy(t) + 2 yết) + |y(1) d = 1- e-2t, condition y(0) = 0 ,t> 0
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Consider the force field F (x, y) = (xy + 2y^2)i + (3x^2 + y)j Find the work done by F to move a particle from (0, 0) to (1, 1) along (a) y = x^2 (b) the y-axis to (0, 1) and then along the line y = 1 (c) path (b) and then returns to the origin along path (a).
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Consider the 2D region 𝐴 which represents part of the cross-section of the lens in the eye’s pupil (Figure 3). The area of 𝐴 is given by the sum of the areas of three subregions 𝐴", 𝐴!, 𝐴# as follows
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Installation Art in a children's park with works by Dr Seuss and M.C. Escher as inspiration (Figure 2).
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Question 5 (10 marks) Ch2. Ch2 Consider the circuit above at sinusoidal steady state. Load A and Load B consist solely of linear resistive and reactive components. You are given that the source has power 40 VA and its power factor is 80% lagging. Chl and Ch2 of an oscilloscope are connected as shown in the circuit diagram. The resulting traces are shown belkow, where SEC/DIV was set to 1 ms and VOLTS/DIV was set to 100 mV for Chl and 20 V for Ch2. Ch2 chi (a) [1.5 marks Estimate the sinusoidal frequency of the circuit. Show all of your work (b) [5 marks] Draw and label the power triangle for Load A, including estimates of its real and reactive power and the power angle. Show all of your work () (3.5 marks Determine and label the power triangle for Load B, including its real and reactive power and power angle Assume the 1 Ω resistor’s effect is negligible, and does not affect the voltage supplied from the source to either Load A or Load B. Show all of your work
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(a) [2.5 marks] Derive a differential equation for ve(t), for t> 0 along with an initial condition. You should derive your equation directly from the circuit itself, and not using an equivalent circuit (or you will only receive partial marks). Show all of your work.
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