Numerade

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Q 3.4: Assuming that Alternatives A and C are replaced continuously with identical units at the end of their useful lives, and a 9% interest rate, which alternative should be selected? Use an annual worth, EUAW analysis. | | A | B | C | |---------------|-----------|-----------|-----------| | Cost | $12,500 | $15,000 | $17,500 | | Annual benefit| 1,500 | 3,500 | 2,500 | | Useful life (yrs)| $\infty$ | 7 | 15 |

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Consider the following. $f(x, y, z) = \sqrt{x^2 + y^2 + z^2}$ $x^2 + y^2 + z^2 = 9$ $x^2 + y^2 + z^2 = 36$ (a) Express the triple integral $\iiint_E f(x, y, z) \, dV$ as an iterated integral in spherical coordinates for the given function $f$ and solid region $E$. $\int_{\pi/2}^{\pi/2} \int_{\pi/2}^{\pi/2} \int_3^6 (\text{ }) \, \rho^2 \sin \phi \, d\rho \, d\theta \, d\phi$ (b) Evaluate the iterated integral.

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2. A function $f(x, y)$ is called homogeneous of degree n if $f(tx, ty) = t^n f(x, y)$. a. Show that the function $f(x, y) = x^2y - 2y^3$ is homogeneous of degree n. Indicate the degree of this function. b. Find $\frac{\partial f}{\partial x}$ and $\frac{\partial f}{\partial y}$. c. Show that $f(x, y)$ satisfies the equation $x\frac{\partial f}{\partial x} + y\frac{\partial f}{\partial y} = nf(x, y)$ where n is the degree of the homogeneous function.

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Question 43 2 pts Which mechanism is responsible for the smallest amount of carbon dioxide transported in the blood? Bound to hemoglobin Converted to bicarbonate Dissolved into plasma Within RBC

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Rescuers have just returned from a cop involving a teen who overdosed on painkillers and optimally died what common emotional should you expect to see in these responders after such a call hallucinations and nightmares short term loss of appetite anger towards society suicidal ideas

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Find \sin(2x), \cos(2x), and \tan(2x) from the given information. \sin(x) = -\frac{8}{17}, x in Quadrant III \sin(2x) = \cos(2x) = \tan(2x) =

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(2) Define a binary operation on Z by a*b = a+2b. (i) Find 3*4, 5*0, and -1*10. (ii) Determine which of the four group axioms hold. (iii) Does Z form a group under this operation?

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Jordan develops an understanding that he has a mind that represents the world in potentially different ways than other people's minds. He uses this ability to explain his sister's preference for a movie he does not like, and to predict how his mother will react when she finds he ate all the cookies. Which term best describes Jordan's ability? conservation theory of mind operational manipulation none of the above

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Problem 3 (10 points) Consider the following RC circuit with initial condition is $v_c(0^-) = 0V$. If the input current $i_s(t) = I_0u(t)$, determine and sketch the capacitor voltage $v_c(t)$ and the resistor voltage $v_R(t)$. Show all work.

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free energy $\Delta G_X^\ddagger$ X reaction coordinate Y $\Delta G_Y^\ddagger$ G_Y^\ddagger k_1 k_{-1}

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