Numerade

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Carla Vista Corporation's maintenance costs are shown here. Units Produced Total Cost July 20,180 $44,058 August 35,872 53,808 September 40,356 61,655 October 24,662 46,334 November 44,840 83,514 December 42,598 69,502 Compute the unit variable costs and fixed costs using regression analysis for this mixed cost. Present your solution in the form of a cost equation. (We recommend that you use the Intercept and Slope functions in Excel.) (Round intercept to 2 decimal places, e.g. 5,275.25 and slope to 5 decimal places, e.g. 1.25125.) Intercept $ Slope $ The cost equation is: $ + $ x units produced = Total cost

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When Jose's English professor tells Jose that Jose has the ability to get a good grade on his essay, and so Jose works hard on his essay, in response, earning an A-, Jose and his professor have just created: Constructing multiple identities A self-fulfilling prophecy created by the self Impression management A self-fulfilling prophecy created by others

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b) Req (-q(44) to an integral which intaing \[ \begin{aligned} \left.|e| x\right|^{2} & =\frac{3 \varepsilon_{0} \hbar c}{\pi N A \operatorname{lo} 10 x^{10} \log e}-\int \frac{\varepsilon}{\omega} d \omega . \\ & =1.023 \times 10^{-61} \int \frac{\varepsilon}{\omega} d \omega \rightarrow 46 \end{aligned} \]

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4. IPSec documentation allows combining the security associations. Discuss why is it recommend to perform ESP protocol before AH protocol? (10 points) 5. What are the different types of port forwarding supported by SSH? Give an example for each type. (15 points)

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ENZYME K$_M$(M) K$_{cat}$(S$^{-1}$) Ribulose-1,5-biphosphate carboxylase/oxygenate (Rubisco) 7.5x10$^{-4}$ 1.3x10$^2$ Secretory protein C (SecC) 5.0x10$^{-5}$ 7.5x10$^6$ Methane monooxygenase (Moo) 1.9x10$^{-2}$ 2.4x10$^5$

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Determine whether the telescoping series converges or diverges its sum: \sum_{n=1}^{\infty} \left( \frac{5}{\sqrt{n+2}} - \frac{5}{\sqrt{n+3}} \right)

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Suppose that an airplane is asked to stay in a holding pattern near an airport. The distance of the plane to the airport is described by the following. $d(t) = 142 + 73 \sin\left(\frac{2\pi}{13}t\right)$ In this equation, $d(t)$ is the distance of the plane to the airport (in miles), and $t$ is the time (in minutes) after the plane enters the holding pattern. During the first 13 minutes after the plane enters the holding pattern, when will the plane be 180 miles from the airport? Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a minute. (If there is more than one answer, enter additional answers with the "or" button.) t = minutes or

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The given steel shaft sees 6.0 kN and 9 kN loads as shown acting along the x and z axes respectively. The bearings at A and B exert only x and z components of force on the shaft. The gears are also made of steel and are 15 mm thick. Assumptions: (cite others in your design as required) 1. max material temperature = 400 deg F 2. machined shaft and gear surfaces 3. there are people in vicinity of the shaft/gear assembly 4. shoulder fillets where gears attached have a radius of 3.5 mm 5. periodic inspections utilize dye penetrant to reveal flaws as small as 0.5 mm. 6. The torsional stress is steady ($T_a = 0$) 7. The shafts experiences completely reversed bending loads (midrange bending moment $M_m = 0$) 8. Use your engineering judgement on other required assumptions (safety factor, etc.)

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1. A projectile of mass m is launched from the surface of the earth directly upward with initial speed $v_0$. Neglecting air resistance, its velocity $v(t)$ satisfies the differential equation $\frac{dv}{dt} = -mg$ where $g$ is the acceleration due to gravity, a constant. Solve the dif- ferential equation subject to initial condition $v(0) = v_0$, where $v_0$ is a positive number, to discover (a) The velocity at any time $t$ seconds after launching the projectile expressed in terms of $g$ and $v_0$; (b) The height of projectile at any time $t$; (c) The maximum height $S_0$ reached by the projectile expressed in terms of $g$ and $v_0$. 2. Reconsider the projectile of part (1.) but this time taking air resistance in account which introduces a force opposing the projectile's motion. This force is proportional to the velocity of the projectile with constant of proportionality denoted by, say, $\gamma > 0$. Take this problem as far as you can: • Write down the differential equation (DE) that governs the mo- tion; • Solve the resulting DE subject to an initial condition; • Find the height as function of time; • Find the maximum height $S(\gamma)$ 3. Prove analytically that $\lim_{\gamma \to 0} S(\gamma) = S_0$

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Price per bag $2.50 $1.80 $1.75 $0.50 a) q* = 50 bags b) q* = 100 bags c) q* = 120 bags d) q* = 150 bags MC ATC Number of bags 50 100 120 150

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gloria t.