Numerade

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The production function for laser eye surgery is given by $Q = 20K^{0.5}L^{0.5}$, where $Q$ is the number of laser eye surgeries performed per day, $K$ is the number of eye surgery machines (which is fixed at 2 in the short run), and $L$ is the number of employees. The marginal product of labor for $L = 3$ is 28.28 11.71 9.43 8.99

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For a cylinder with circulation, γ, the velocity tangent to the surface is Vϴ = -2USinϴ + γ/(2πR) and there is no velocity normal to the surface, Vr = 0. The pressure at the cylinder surface is given by P = Po - ½ρVϴ 2 . If the force on the cylinder surface is P·Rdϴ, determine the overall Lift. Note: Lift is the component of force normal to velocity, V, due to P·Rdϴsinϴ. Integrate the Lift component of force from 0 < ϴ < 2π to sum the total lift around the cylinder.

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A 12 kg mass is attached to a spring hanging from a ceiling. The spring constant is 3 N/m. Assume that the mass is released from a position 1 m above the equilibrium position of the spring-mass system with an initial velocity of 0 m/s and ignore damping forces. a) Determine the equation of motion of the mass; b) Find the amplitude and period of the oscillations Solve using differential equations.

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sample of an ideal gas is allowed to expand from an initial volume of 0.200 L to a final volume of 3.50 L against a constant external pressure of 0.995 atm. At the same time, 117J of heat is transferred from the surroundings to the gas. What is the total change in the internal energy (AU) of the gas in joules?

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Find the particular solution determined by the initial condition.\\ $\frac{ds}{dt} = 11t^2 + 7t - 8$; $s(0) = 101$

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Which of the following statements is not true? Growth and Income are complementary events. Electronics and Growth are dependent. Electronics and Healthcare are mutually exclusive. Airliness and Healthcare are collectively exhaustive.

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Which of the following would not be considered one of the possible opportunity costs of a recent high school graduate starting their career right away by getting a full-time job? A. Starting college right away. B. Spending a year backpacking across Europe. C. Going to Haiti to do missionary work. D. None of these would be considered an opportunity cost. E. All of these are possible opportunity costs.

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Determine the acute angle, in degree measurement, between the planes $-6x + 3y - 4z = -1$ and $-2x - 3y + 9z = 9$.

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Question 28 Which one of the following is not a transport layer protocol used in networking? Not yet answered a. SCTP Marked out of 1.00 b. UDP Flag question c. TCP d. ICMP

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13. (15 Points) Consider an LTI system with input x(t) and output y(t) related through the following equation y(t) = \int_{-\infty}^{\infty} 10e^{-(t-\tau)} x(\tau - 5)d\tau (1) Please find out the unit impulse response h(t) for this system. (2) Is the system causal? Justify your answer. (3) Is the system stable? Justify your answer. (4) Find out the system unit step response,

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magdalena b.