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mary taylor

mary t.

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refers to a phenomenon in which the rate of response in an unchanged setting increases when behavior declines in another setting. stimulus overselectivity negative behavioral contrast. positive behavioral contrast. peak shift

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Which imaging test of the central nervous system is most helpful when examining the brain for different in between normal age and cognitive impairment and all time disease

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Two sound waves have intensities. What is the difference in their intensity levels?

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1. Let $A = \begin{bmatrix} 3 & -1 & 2 \\ 2 & 1 & 1 \\ 1 & -3 & 0 \end{bmatrix}$. For which triples $(y_1, y_2, y_3)$ does the system $AX = Y$ have a solution?

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= ______ 6. Saltwater; solute = _______ Solvent = _______ PS = ______ 7. Sugar water; solute = _______ Solvent = _______ PS = ______ 8. Carbonated water; solute = _______ Solvent = _______ PS = ______ 9. Olive oil; solute = _______ Solvent = _______ PS = ______ 10. Milk; solute = _______ Solvent = _______ PS = ______

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6 (15 points) If the Fourier transform $X(j\omega)$ of a continuous-time signal $x(t)$ is as shown in the following figure: $X(j\omega)$ $-\omega_b$ $\omega_b$ $\omega$ a) At what sampling frequency $\omega_s$ you will see the aliasing effect? Sketch out what would happen if the aliasing effect occurs. b) For $y(t) = x(t)cos(\omega_c t)$ (where $\omega_c >> \omega_b$), express the Fourier transform $Y(j\omega)$ of $y(t)$ in terms of $X(j\omega)$ and sketc $Y(j\omega)$ in frequency domain. (Hint: using the multiplication or modulation property of Fourier transform) c) $-\omega_c$ $H(j\omega)$ 1 $\omega_c$ $y(t)$ $z(t)$ $h(t)$ $\omega$ Single-sideband modulation (SSB) can more efficiently use electrical power and bandwidth. Single-sideband modulation has been used in wireless communications. In SSB, $y(t)$ further passes through an ideal high-pass $|\omega| > \omega_c$ filter defined as $H(j\omega) = \begin{cases} 1 & \text{otherwise} \end{cases}$ as shown above. Sketch $Z(j\omega)$ for input $y(t)$ from 6b.

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The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 8 cm/s. When the length is 7 cm and the width is 5 cm, how fast is the area of the rectangle increasing?

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2. Differential relay is used to protect some components in power system. It operates based on different current. a) If transformer is one of the components, list the other two protected components. (2 marks) b) Explain how the electromechanical based differential relay operates? The explanation should include a schematic diagram sketching. (10 marks) c) A single phase two-winding transformer, 2 MVA, 50/10 kV uses a single differential relay protection. Determine suitable current transformer (CT) ratios for both employed CT respectively, and a constant $k$ such that the relay blocks for up to 20% mismatch between $I_1$ and $I_2'$. (8 marks)

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You observe a nova in another galaxy. Soon after the eruption (3 days), when you expect the expanding shell to still be optically thick, you decide to determine the distance to the nova. You obtain spectroscopic measurements with a bolometric flux of $9 \times 10^{-10}$ erg cm$^{-2}$ s$^{-1}$ that indicate an expanding photosphere with $T = 10^4$ K and $v = 3 \times 10^3$ km s$^{-1}$. What is the distance to the nova in kiloparsecs?

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Find the Norton equivalent of the circuit below: 0.75$v_a$ 8 ? 6V $v_a$ 4 ? a b

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