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Example 3kΩ 21x10⁻³i_B 6kΩ 12kΩ Find: i_A, i_B, & i_C (i_B = i_2 - i_1) Left-hand Mesh: -21 + 3x10³i_1 + 6x10³(i_1 - i_2) = 0 OR: 3i_1 - 2i_2 = 7x10⁻³ ① Right-hand Mesh: 6x10³(i_2 - i_1) + 21x10⁻³(i_2 - i_1) + 12x10³i_2 = 0 OR 13i_2 = 9i_1 ② SOLVING ① & ②: i_1 = 13/3 mA i_2 = 3 mA => i_A = i_1 = 13/3 mA i_B = i_2 - i_1 = -4/3 mA i_C = -i_2 = -3 mA

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QUESTION 2 Consider a suspension system in a car with two masses $x(t)$ represents the displacement of the car body relative to the equilibrium position, and $y(t)$ represents the displacement of the wheel relative to the car body. The system is modelled as a spring-damper system where the following system of differential equations governs forces between the car body and the wheel: $\frac{dx}{dt} = -5x + 3y$ $\frac{dy}{dt} = 2x - 4y$ [Formula: $X = C_1K_1e^{\lambda_1t} + C_2K_2e^{\lambda_2t} +...+ C_nK_ne^{\lambda_nt}$] (a) Express this system of differential equations in matrix form. [1 mark] (b) Determine the eigenvalues of the system. [4 marks]

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The graph below depicts the three possible aggregate demand curves. Canadian price level (P) LRAS If Canada's central bank prints Canadian dollars, the Canadian dollar will depreciate, and the aggregate demand curve will a. less; shift from AD2 to AD3 b. more; shift from AD2 to AD1 c. more; not shift d. less; not shift e. more; shift from AD2 to AD3 Y1 AD1 AD2 AD3 Canadian real GDP (Y)

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Link the producer to their source of monopoly power Group of answer choices A city's mass transit system [ Choose ] Taylor Swift's new album [ Choose ] The actor Timothée Chalamet [ Choose ] McDonalds [ Choose ] Exclusive government protected right to produce a new device that increases the fuel efficiency of cars [ Choose ] High school teacher certification [ Choose ]

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On its opening day, a car dealership had an inventory of 31 cars. During the first 12 months, 20 additional cars were purchased by the dealership each week, and the sales team sold an average of 17 cars per week. During the first six months, which of the following equations best models the car inventory, $ c $, at the dealership $ t $ weeks after opening day?

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A population grows according to an exponential growth model. The initial population is 8 and it grows by 7% each year. find the expicit formula

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A train station is interested in calculating the average wait time for passengers to wait for their trains arrival. The station hired a data analyst who took a random sample of 60 random passengers. The analyst discovered that the sample mean was 90 minutes, and the population standard deviation was 10 minutes.

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29. a. Determine side d. b. Determine ?E. C. Determine ?F. 14.600 cm ?F 34.80° d ?E 15.300 cm

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PROBLEMS 5 THROUGH 8 ARE QUANTITATIVE. Only answers within 1% of the correct answer are eligible for full credit (I recommend keeping at least 3 sig figs.) Show your work for maximum credit. Include units. 5. For the situation shown below, find the net electric field $\vec{E}$ at point P, in $\hat{i}$ notation. $M = 10^{-6}$ +6$\mu$C -4$\mu$C <----2m----><----2m----> P +x

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67. A centre fed electric dipole of length l is attached to a balanced lossless transmission line whose characteristic impedance is 50 ohms. Assuming the dipole is resonant at the given length, find the input VSWR when (a) $l = \lambda/50$ (b) $l = \lambda/4$ (c) $l = \lambda/2$ (d) $l = 3\lambda/4$ (e) $l = 0.011\lambda$

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