Numerade

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Question 1 1 pts Suppose the demand for a product is given by $ p=d(q)=-0.5 q+250 $ and the supply for the same product is given by $ p=s(q)=4.5 q $ . For both functions, $ q $ is the quantity and $ p $ is the price, in dollars. Find the equilibrium point. Put the value for $ q $ in the space below. $ \square $ Question 2 1 pts Suppose the demand for a product is given by $ p=d(q)=-0.5 q+250 $ and the supply for the same product is given by $ p=s(q)=4.5 q $ . For both functions, $ q $ is the quantity and $ p $ is the price, in dollars. Find the equilibrium point. Put the value for $ p $ in the space below. $ \square $

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If the catchall variable (z) increases, the natural rate of unemployment (u_n) will

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asexual reproduction can still lead to high genetic diversity in bacterial populations because

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The diameter of a precapillary arteriole is decreased in a muscle vascular bed. Which change in the microcirculation would be expected?

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A child has difficulty processing information early on, leading to challenges in making friends and later experiences of being bullied. What are these related effects called? Non-normative developmental factors Normative effects of development Domains of development Developmental cascades

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Suppose $\begin{bmatrix} x \\ y \end{bmatrix} = c_1e^{2t}\begin{bmatrix} 1 \\ 1 \end{bmatrix} + c_2e^t\begin{bmatrix} 0 \\ 1 \end{bmatrix}$, $\begin{bmatrix} x(0) \\ y(0) \end{bmatrix} = \begin{bmatrix} 2 \\ -1 \end{bmatrix}$ Find $c_1$ and $c_2$. $c_1 = $ help (numbers) $c_2 = $ help (numbers) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? Choose Is the solution curve headed toward or away from the origin as $t$ increases? A. away B. toward C. neither toward nor away

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4.7 The electrostatic potential in a semiconductor is found to be: $\phi(x) = \frac{qN_D}{2\epsilon}x^2$ Where $N_D$ is the ionized donor concentration. Note that the unit for electro- static potential is Volts. (a) Obtain an expression for the electric field in terms of the parameters given in the above expression for potential. Include units in your answer. (b) Obtain an expression for the charge density. Include units in your answer.

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y'' - 11y'' + 30y' = 60e^x, \newline y(0) = 30, y'(0) = 25, y''(0) = 28.

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1. Write the formula (e.g. NaCl) of the ionic compound which will be formed when the following elements react with each other? (2 point per compound, 10 points total) a. Boron and Selenium b. Cobalt (II) and Astatine c. Barium and Nitrate d. Molybdenum (IV) and Carbonate e. Hydrogen Carbonate and Rhodium (III) 2. Only using the periodic table, write the name of the compound. For example, NaCl would be sodium chloride. (2 points per compound) Name a. IBr$_6$ b. Pd(OH)$_3$ c. Br$_2$Se d. RbHSO$_4$ e. Mg$_3$(HPO$_4$)$_2$ 3. For the following reactions, what is the theoretical yield produced given the starting material listed and all other reactants in excess. Show your work for credit. (10 points per problem) a. 2 C$_6$H$_{14}$ + 19 O$_2$ ? 12 CO$_2$ + 14 H$_2$O 300.0 grams C$_6$H$_{14}$ starting material. Determine the theoretical yield of CO$_2$.

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Please use MATLAB and show work as well as code. Will rate for correct answer. Construct a three-step supersonic nozzle for a design Mach number between 1.51 and 4.99. The design Mach number must be chosen with two decimal places of accuracy and cannot end with the numeral zero (e.g. You can use 2.31 but not 2.30). Using the figure below as a guide, complete the steps given below. Carry at least six decimal places of accuracy in all calculations (much easier to do if using MATLAB or Excel to solve the problem). Do not use Appendix C, use Equations 9.42 and 9.43 to get an exact answer (again... easier in MATLAB or Excel). K L x = 0.5 x = 0.5 c F h = 2 M = 1 Mdesign B E Create a report that includes, at a minimum, the following information: 1. State the design Mach number for your nozzle 2. Provide a list showing the angles of all Mach lines (e.g. AB, BD, pG, etc.) in the figure 3. For each point, show the set of equations used to calculate the coordinates of each point. The equations should be written in terms of the variables (e.g. pG, Xa, Yo, h, etc.) without substituting in the actual values 4. Solve the equations and provide a list of the coordinates for each point, showing six decimal places of accuracy. 5. Estimate the expected accuracy of your nozzle design in terms of Mach number (AM/M)? Note: Convert your calculated area ratio to a Mach number and compare it to the design Mach number 6. Provide a sketch of the nozzle that is scaled accurately in both the x and y directions Note: The above figure is a schematic and is not to scale. You do not have to produce a 1:1 scale, but the scale should be the same in both the x and y directions

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andrew b.