Numerade

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What is the net signed area between $f(x) = 2x + 4$ and the $x$-axis over the interval $[-7, 4]$? Do not include any units in your answer.

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Which of the following is the correct expression for Ksp for Zn$_3$(PO$_4$)$_2$? I. $K_{sp} = \frac{[Zn^{2+}][PO_4^{3-}]}{[Zn_3(PO_4)_2]}$ II. $K_{sp} = [Zn^{2+}][PO_4^{3-}]$ III. $K_{sp} = [Zn^{2+}]^3[PO_4^{3-}]^2$ IV. $K_{sp} = \frac{[Zn^{2+}]^3[PO_4^{3-}]^2}{[Zn_3(PO_4)_2]}$

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A 100 g ball moving to the right at 4.0 m/s collides head-on with a 200 g ball that is moving to the left at 3.0 m/s. Part A If the collision is perfectly elastic, what are the speeds of each ball after the collision? Express your answer with the appropriate units. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type (vfx)1 = nothingnothing Request Answer Part B Express your answer with the appropriate units. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type (vfx)2 = nothingnothing Request Answer Part C What is the direction of 100-g ball after the collision? upward downward to the right to the left Request Answer Part D What is the direction of 200-g ball after the collision? upward downward to the right to the left Request Answer Part E If the collision is perfectly inelastic, what is the speed of the combined balls after the collision? Express your answer with the appropriate units. Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value type vfx = nothingnothing Request Answer Part F What is the direction of the combined balls after the collision? upward downward to the right to the left

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Q6 Refer to the pictorial view shown Figure 5, an AC motor with impedance $Z_L = (4.2 + j3.6)\Omega$ is supplied by a 220Vrms, 60Hz source. (i) Find power factor p.f, active power P and reactive power Q. (ii) If the power factor needs to be corrected to unity (=1), determine the capacitor required to be connected in parallel with the motor.

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An open, or compound, fracture can be described as when ________ O the broken bone ends are forced into each other O the broken bone is exposed to the outside of the skin O the bone is broken into many fragments O the bone is crushed

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What is the change in momentum as a 0.25 kg ball is stopped from flying at a speed of 13 m/s initially? -52 kg m/s, and negative sign means its direction is in the opposite direction of the ball's initial velocity. -3.25 kg m/s, and negative sign means its direction is in the opposite direction of the ball's initial velocity. -52 kg m/s, and negative sign means its direction is in the same direction of the ball's initial velocity. -3.25 kg m/s, and negative sign means its direction is in the same direction of the ball's initial velocity.

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Design a BJT differential amplifier that provides a single-ended output at the collector of Q2. The amplifier is to have a differential gain of 100(V)/(V) and a differential input resistance of 10kOmega , and a common mode gain no greater than 0.1(V)/(V). Sketch the complete circuit and include a supply voltage V_(CC) that would allow for a+-2V swing at the collector. Specify the minimum value that the output resistance of the bias current source must have. Assume eta =100. 1 Design a BJT differential amplifier that provides a single-ended output at the collector of O2. The amplifier is to have a differential gain of 100 V/V and a differential input resistance of 10 kQ, and a common mode gain no greater than 0.1 V/V. Sketch the complete circuit and include a supply voltage Vcc that would allow for a 2V swing at the collector. Specify the minimum value that the output resistance of the bias current source must have. Assume =100.

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Consider a car initiating its motion from a position 20 meters along a straight path. The car's initial velocity is 10 m/s, and its acceleration is given by $a(t) = (6t - 12)$ m/s$^2$. Determine the particle position, total distance traveled, average velocity, the average speed, and the acceleration of the particle when $t = 6$ s and between the period of $t = 3$ s and $t = 6$ s.

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The equation \frac{t^2}{y^2} - \cos(6y) = -2 implicitly defines y as a function of t. Find \frac{dy}{dt}

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4. Vapor-Liquid-Liquid equilibrium (VLLE) of a binary mixture (30 pts) When two moles of A and two moles of B are placed in a vessel at 10 bar and 50°C, after equilibrium is established, two liquid phases are formed: one contains 10% A/90% ? (?- phase) and the other one contains 99.9% A/0.1% B (?-phase). (a) [4] Determine the activity coefficient of A in the ?-phase. (b) [3] Is the 2-suffix Margules equation appropriate for this system? Explain your answer. The pressure is reduced at constant temperature until the bubble point is achieved. At this point, the incipient vapor phase contains 40% A and the two liquid phases are still present. The saturation pressures of A and B, at 50°C, are 1.0 and 2.0 bar, respectively, and the gases can be assumed ideal. (c) [4] Calculate the pressure, in bar, at which the VLLE is found at T = 50°C. (Hint: make use of the knowns to calculate the unknowns). (d) (4) Determine the value of the Henry's Law constant of component B in A.

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andrea m.