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In this form of the N-S equations, which forces are accounted for? $$\frac{\partial u}{\partial x} + \frac{\partial v}{\partial y} + \frac{\partial w}{\partial z} = 0$$ $$\rho \left[ \frac{\partial u}{\partial t} + u \frac{\partial u}{\partial x} + v \frac{\partial u}{\partial y} + w \frac{\partial u}{\partial z} \right] = -\frac{\partial p}{\partial x} + \mu \left( \frac{\partial^2 u}{\partial x^2} + \frac{\partial^2 u}{\partial y^2} + \frac{\partial^2 u}{\partial z^2} \right)$$ $$\rho \left[ \frac{\partial v}{\partial t} + u \frac{\partial v}{\partial x} + v \frac{\partial v}{\partial y} + w \frac{\partial v}{\partial z} \right] = -\frac{\partial p}{\partial y} + \mu \left( \frac{\partial^2 v}{\partial x^2} + \frac{\partial^2 v}{\partial y^2} + \frac{\partial^2 v}{\partial z^2} \right)$$ $$\rho \left[ \frac{\partial w}{\partial t} + u \frac{\partial w}{\partial x} + v \frac{\partial w}{\partial y} + w \frac{\partial w}{\partial z} \right] = -\frac{\partial p}{\partial z} + \mu \left( \frac{\partial^2 w}{\partial x^2} + \frac{\partial^2 w}{\partial y^2} + \frac{\partial^2 w}{\partial z^2} \right)$$ Magnetic Pressure Gravity

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Although neither ______ nor the ______ is officially set by the Federal Open Market Committee, decisions concerning these policy tools are effectively made by the committee. ? reserve requirements; discount rate ? margin requirements; discount rate ? reserve requirements; federal funds rate ? margin requirements; federal funds rate

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What tissue made of a multiple layers of cells would be found in the epidermis?

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Problem 3. Use Ampere's Law to find the field in a long (nearly infinite) solenoid.

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CHALLENGE ACTIVITY 4.9.2: Change of coordinates matrices. 482086.2596304.qx3zqy7 Jump to level 1 Let V be the vector space of functions spanned by $n\pi$ B = \{b? = 6 sin x + 2 cos x, b? = 7 sin x + 3 cos x\} where x ? \frac{$n\pi$}{2}, n ? Z. $n\pi$ C = \{c? = sin x, c? = cos x\} where x ? \frac{$n\pi$}{2}, n ? Z is also a basis for V. Find the change of coordinates matrix P $P$ C?B Ex: 9 $P$ C?B The coordinates of a function f(x) relative to the basis B are [f(x)]B = \begin{bmatrix} 4\\0 \end{bmatrix}. Find the coordinates of f(x) relative to C and find f(x). Ex: 9 [f(x)]c = Check Next f(x) = Ex: 9 sin x + cos x 2 3 4 5 Feedback?

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QUESTION 4 Which of the following bacteria is not being used in the Antiseptic and Disinfectant lab? Streptococcus pyogenes Staphylococcus epidermidis E. coli Pseudomonas aeruginosa QUESTION 5 Which are the microbes that are permanently associated with the human body?

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A circle $C_1$ has its centre at the origin, O, and passes through the point P(8, -6). (i) Find the equation of $C_1$. A second circle $C_2$ has diameter OP. (ii) Find the equation of $C_2$.

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B.Take the Results! Illustrate your answer with tree diagram or listing method. Explain your output in a 2 or 3 sentences. I. Five identical cards are labeled 5 to 9 and placed in a box. 1. Write down the sample space. 2. Identify the events in which a card drawn at random has: a. an odd number on it. b. an even number on it. c. a multiple of 3

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If $f(x)$ is an exponential function where $f(-2.5) = 1$ and $f(3.5) = 15$, then find the value of $f(-1.5)$, to the nearest hundredth.

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a) Consider the ODE describing the motion of a pendulum in presence of friction. Let $\theta$ indicate the angle of the pendulum with respect to the vertical line and let $t$ indicate the time. The ODE describing the motion of the pendulum is given by $m\ddot{\theta} = -mg\sin\theta - \gamma\dot{\theta}$. with $\theta \in [-\pi/2, \pi/2]$. Here $m > 0$ indicates the mass of the pendulum, $l > 0$ indicates its length, $g > 0$ indicates the gravitational constant, and $\gamma \ge 0$ is a constant real parameter indicating the intensity of the friction. Identify the dependent and independent variable in this ODE Is this a linear or non linear ODE What is the order of this ODE

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robert f.