Numerade

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17.94 Find vec(v)_(Q) and vec(\omega )_(QP). Generalize for any \theta ,\phi Step 1: Conceptualize how the system moves and how it is the sam(e)/(d)ifferent than 17.44 Steps 2-3: We will be solving for the angular acceleration of bar PQ so start by defining a counter-clockwise (positive) angular position of bar PQ. Define a coordinate frame. Step 4: Set up a relative velocity equation to find the velocity of point Q on Bar OQ in terms of its angular position and velocity. Set up a relative velocity equation to find the velocity of point Q on Bar PQ in terms of its angular position and velocity. Equate these two equations. Step 8: Solve for the angular velocity of Bar PQ and the linear velocity of P in terms of the angular position and velocity of Bar OQ. Step 9: Do your units check? This is as far as I want you to go on this problem for your HW. 17.94 Find vec(v)_(Q) and vec(\omega )_(QP). Generalize for any \theta ,\phi 17.94 Find $\bar{v}_Q$ and $\bar{\omega}_{QP}$. Generalize for any $\theta$, $\phi$

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Q.4 Air at 350°C and 135 kPa flows through a horizontal 5-cm ID pipe at a velocity 45.0 m/s. (a) Calculate $E_k$ (W), assuming ideal gas behavior. (b) If the air is heated to 500°C at constant pressure, what is $\Delta E_k = E_k (500°C) - E_k (350°C)$?

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(1 point) Let the polynomial $p$ be defined by $p(x) = (x + 2)(x - 6)(x - 10)$. Then $p(x) = \boxed{}x^3 + \boxed{}x^2 + \boxed{}x + \boxed{}$, Note: some of the coefficients may be negative. Hint: Apply the Distributive Law twice.

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We discussed the main decisions of households. Which type of decision would describe the following decision? Adam decides how much of his income to spend on ice cream.

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Five thousand dollars is deposited into a savings account at 7.5% interest compounded continuously. (a) What is the formula for A(t), the balance after t years? (b) What differential equation is satisfied by A(t), the balance after t years? (c) How much money will be in the account after 8 years? (d) When will the balance reach $9000? (e) How fast is the balance growing when it reaches $9000? (a) A(t) =

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(a) A signal x(t) is sampled using fs of 5kHz. The spectrum of the sampled signal is given in Figure 1. Let y(t) be the recovered or reconstructed signal. Analyze this sampling scheme. -150? -50? 0 50? 150? ? Figure 1. i. Write the equation for x(t). ii. Discuss whether the recovered signal y(t) is affected by aliasing. Assume a low pass filter with a cutoff frequency of f$_s$/2 is used for the recovery process. iii. If the sample and hold method is used for reconstruction, will y(t) be the same as x(t)? Explain. (b) Interpret the spectrograph of an FM signal y(t) is given in Figure 2. Write the equation for y(t). 1600 BW CHIRP CENTERED at 990 Hz 2000 1800 1600 1400 FREQUENCY (Hz) 1200 1000 800 600 400 200 0 0.2 0.4 0.6 0.8 1 TIME (sec) Figure 2

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Solve the system of linear equations, using the Gauss-Jordan elimination method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) $x_1 + 2x_2 + 6x_3 = 6$ $x_1 + x_2 + 3x_3 = 3$ $(x_1, x_2, x_3) = ( )

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Based on preliminary measurements, it has been suspected that a sample of the enzyme contains an enzyme inhibitor (competitive or irreversible). This sample was diluted 100-fold, and the enzyme's activity was remeasured. Evaluate the outcome in terms of enzyme activity for the following scenarios: (i) Enzyme bound with an irreversible inhibitor (ii) Enzyme bound with a competitive inhibitor (iii) Free enzyme [1.5 marks] [1 mark] [1 mark]

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inp $50 40 30 20 10 6 0 5 10 15 20 22 25 Number of Trips (1,000s per day) This diagram shows the demand for trips across a bridge. If the price of crossing the bridge is $10.00 (which determines a quantity demanded of 20 trips in the graph), consumer surplus is $44 $440 $400 $100

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6 The following information is known about a function $f(x)$: $ f(2) = 1 $ $ \lim_{x \to 2} f(x) $ does exist Which one of the following statements is ALWAYS true about the function at the point $x = 2$? Select one alternative: None of the other statements are correct The function is not continuous at $x = 2$. The function has an asymptote at $x = 2$. The function is continuous at $x = 2$.

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