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monica lee

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A company has determined their yearly cost function, in dollars, to be given by C(x) = 2,200x^5/2 / 6x^2 + 5x − 4 , when x pounds of product are made. Find the marginal cost (in dollars per pound) when 5 pounds of product are made. (Round your answer to four decimal places.) C'(5) = dollars per pound

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Question B2 [20 marks] (a) Helium is contained in a piston-cylinder apparatus fitted with a spring as shown in Figure QB2. The spring has a spring constant of $k=10^5$ N/m and maintains the gas in mechanical equilibrium. The gas experiences a heat transfer interaction at a rate which is slow relative to the rate at which equilibrium can be established throughout the gas. Thus, the pressure and temperature are uniform throughout the gas at all times even though they are both changing with time throughout the process. The piston is frictionless and the spring can be modelled as a pure translational spring. Calculate the work transfer experienced by the gas as the pressure increases from $P_1 = 1.013 \times 10^5$ Pa to $P_2 = 3.039 \times 10^5$ Pa. (i) What is the temperature of the Helium in State 2 ($T_2$) if $T_1= 300$ K and $V_1 = 0.1 m^3$? (ii) Calculate the heat transfer experienced by the Helium. Piston, $A_{piston} = 0.1 m^2$ Spring Vacuum Helium L (a) Piston-cylinder Apparatus Figure QB2

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Find an equation of the plane through the three points given: P = (0,0,2), Q = (-1, -2, 3), R = (3, -4, 0) -40x - 5y + 10z = 20

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Which of the following is not a primary objective of the health care delivery system? To enable all citizens to receive health care services whenever needed-universal access To deliver cost-effective services To provide services that meet certain pre-established standards of quality To litigate medical malpractice

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Why Meoisis double chronosomes at first then split into two for two times? Wouldn't it be faster and easier to directly divide on the cell?

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Which of the following are functions of the cytoplasmic membrane? Select all that apply. Transport Motility Adhesion Communication Cell to cell recognition

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Question content area Part 1 If inflation in the U.S. is higher than inflation in other countries, what will be the effect on net exports for the U.S.? Part 2 A. net exports will decrease as U.S. exports decrease B. net exports will rise as U.S. imports decrease C. net exports will decrease as U.S. imports decrease D. net exports will rise as U.S. exports increase

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4-37 Consider the following steady, incompressible, two-dimensional velocity field: $\vec{V} = (u, v) = (4.35 + 0.656x)\vec{i} + (-1.22 - 0.656y)\vec{j}$ Generate an analytical expression for the flow streamlines and draw several streamlines in the upper-right quadrant from x = 0 to 5 and y = 0 to 6.

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Assignment – MT compensation 1. Sketch the root loci for the system whose open loop transfer function is given below. $G(s) = \frac{(s + 2)}{(s + 1)(s + 1 + j)(s + 1 - j)}$

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$G_{PI} = K_P \frac{T_I s + 1}{T_I s}$ \newline Note: \newline $K_P \left( 1 + \frac{1}{T_1 s} + T_D s \right) \div \frac{K_D (b_0 + b_1 z^{-1} + b_2 z^{-2})}{1 - z^{-1}}$ \newline Method 1: \newline $1 + \frac{T_D}{T}$ $\frac{T}{T_1} - \frac{2 T_D}{T} - 1$ $\frac{T_D}{T}$

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