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Si n=8 mol de Monoxido de carbono y considerando un proceso isotermico, con T=220 °k donde el volumen va cambiando desde 2.9 m³ a 8.9 m³, calcule el trabajo realizado por la expansión del gas utilizando la ecuación de Van der Waals.

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Use the indicated change of variables to evaluate the double integral. int_R int 4(x^(2)+y^(2))dA x=(1)/(2)(u+v) y=(1)/(2)(u-v) Use the indicated change of variables to evaluate the double integral. 4(x2 + y2) dA JR y=3(u-v) 0,1 -1,0 1,0 0,-1

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b) How is the work done on this block by the gravitational force related to the gravitational potential energy of the block? The term "d" in is the same as the height "h" in the formula for gravitational potential energy. The gravitational force is the same on the block and in the potential energy. The cosine coming from the dot product is related to the direction of the gravitational potential energy. Since Δk=0, the work done by gravity has to be the same as the potential energy due to gravity.

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Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set. As you answer below, remember that the natural numbers are just the counting numbers. This means that 0 is not a natural number, and negative numbers are not natural numbers either. (a) Roster form: \{1, 2, 3, 4\} Descriptive form: (Choose one) (b) Descriptive form: The set of odd natural numbers greater than or equal to 5. Roster form:

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10. Calculate the pressure of a 20-foot water column 8 feet from the bottom. 11. What is the weight, in pounds, of 10 ft.³ of oil with a specific gravity of .79? 12. Calculate the weight, in pounds, of a 55-gallon drum of hydraulic oil that has a specific gravity of .85. (The empty 55-gallon drum weighs 45 pounds)

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State the order of the given ordinary differential equation.\\ $\frac{d^2y}{dx^2} = \sqrt{1 + \left(\frac{dy}{dx}\right)^5}$\\ Determine whether the equation is linear or nonlinear by matching it with the following equation.\\ $a_n(x)\frac{d^ny}{dx^n} + a_{n-1}(x)\frac{d^{n-1}y}{dx^{n-1}} + \dots + a_1(x)\frac{dy}{dx} + a_0(x)y = g(x)$\\ linear\\nonlinear

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(2) Evaluate the following iterated integral by converting it to polar coordinates.\\ $\int_0^3 \int_0^{\sqrt{9-x^2}} e^{-x^2-y^2} dy dx$

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5. A person suddenly goes from lying down to standing up they might feel faint for a second or two but quickly recover. Why? Describe the steps of the reflex that restores MAP. 6. How does the cardiovascular function change to increase blood flow to skeletal muscle during exercise? There are many steps involved - please list each one.

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Problem #4: Which of the following is a solution to the equation $z^3 = (-1 + \sqrt{3}i)$? (A) $2^{1/3}[cos(23\pi/18) + i sin(23\pi/18)]$ (B) $2^{1/3} [cos(10\pi/9) + i sin(10\pi/9)]$ (C) $2^{1/3}[cos(13\pi/18) + i sin(13\pi/18)]$ (D) $2^{1/3}[cos(8\pi/9) + i sin(8\pi/9)]$ (E) $2^{1/3}[cos(17\pi/18) + i sin(17\pi/18)]$ (F) $2^{1/3}[cos(7\pi/9) + i sin(7\pi/9)]$ (G) $2^{1/3}[cos(11\pi/9) + i sin(11\pi/9)]$ (H) $2^{1/3} [cos(19\pi/18) + i sin(19\pi/18)]$

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Q5 For the circuit given below, obtain the set of linear equations required to find the mesh currents. To verify your answer, make sure that the total number of independent and dependent equations is equal to the number of mesh currents you have identified in the circuit. ?4A 12? 10V $i_2$ 6? $i_1$ $i_1$ 8V 1A $i_3$ 2? 4? X $i_3$

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samuel a.