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(1) $Re\{X(j\omega)\} = 0$ (2) $Im\{X(j\omega)\} = 0$ (3) There exists a real $\alpha$ such that $e^{j\alpha\omega}X(j\omega)$ is real (4) $\int_{-\infty}^{\infty} X(j\omega) d\omega = 0$ (5) $\int_{-\infty}^{\infty} \omega X(j\omega) d\omega = 0$ (6) $X(j\omega)$ is periodic

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what is the change in electric potential energy of charge +q in this process?

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Premature infants have immature control of their respiratory drive in response to O2 and CO2 levels, this etiology is most consistent with:

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what is the laser beams path at the interface between air and airr

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When the price of a good rises, the price is transmitting information indicating that the good is relatively

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Solve V_(3) Using Thevenin theorem, Thevenin's solution: V = A * Rz / (R3 + Rz) Given: Rz = 2K1 R3 = 25 + 5K1 A = 20V IS = 10mA RY = 6KA

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Triangulation refers to: Group of answer choices closeness between three family members starting a fight between three family members pulling a third family member into a conflict between two family members a close attachment bond involving child, father and mother

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Most profit Least profit Answer Bank The firm must charge all consumers the same price. The firm has the ability to undertake perfect price discrimination. The firm can charge different prices to different consumers. The firm must charge a price that is equivalent to its marginal cost.

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A uniform sphere of mass M and radius r rolls without slipping inside a track with the cross-section of a semi-circle of radius R (R>r) The sphere's motion is confined to a vertical plane. In the figure below, point B becomes point C when the sphere is at the angular position $\Theta = 0^\circ$. Let $\phi$ be the angular displacement of the sphere about its center. (a) Write down constraints for the sphere's motion. (b) Derive the equations of motion from the Lagrangian. (c) Determine and interpret the constraint forces. (d) Determine the period oscillations of the sphere about the equilibrium position ($\Theta = 0^\circ$ is the equilibrium position), assuming small angular displacements. (e) Determine the period oscillations of the sphere about the equilibrium position if no force of friction exists between the sphere and the track?

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The supply function for oil is given (in dollars) by S(q), and the demand function is given (in dollars) by D(q). S(q)=q^2+7q. D(q) = 1080-17q-q^2 a. Graph the supply and demand curves. Choose the correct graph. S(q) is the solid line, and D(q) is the dashed line. b. Find the point at which supply and demand are in equilibrium. The equilibrium point is (Type an ordered pair.) c. Find the consumers' surplus The consumers' surplus is $ (Type an integer or decimal rounded to the nearest hundredth as needed.) d. Find the producers' surplus. The producers' surplus is $ (Type an integer or decimal rounded to the nearest hundredth as needed.)

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nancy h.