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Process-Oriented Problem 11.003.a - Uniform rectilinear motion Check the statements that are true for this problem. (Check all that apply.) Check All That Apply The car is moving at a constant velocity.The car is moving at a constant velocity. The car’s acceleration is zero.The car’s acceleration is zero. The car’s displacement is zero. The car’s displacement is zero. The initial time is t=t0=0 . The initial time is t=t0=0 . The initial displacement is x(t0)=x0=0 . The initial displacement is x(t0)=x0=0 . The car is moving at 833.33 m·s−1 . The car is moving at 833.33 m·s-1 . The car is moving at 19.4444 m·s−1 . The car is moving at 19.4444 m·s-1 . The car is moving at 0.0139 m·s−1 . The car is moving at 0.0139 m·s-1 . The car is moving at −19.4444 m·s−1 .

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Problem 2 (2 points) If your disposable income increases by $2000 and, as a result, you spend an additional $1800, what is your marginal propensity to consume?

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For $f(x) = -5\sqrt{3x + 2}$ $g(x) = 4\sqrt{1 - x}$ $h(x) = \frac{x + 8}{x^2 - x - 6}$ $p(x) = \sqrt[3]{x - 2}$ $w(x) = x - 5$ Find $(p \circ f)(1)$ 0 $\sqrt{5 - \sqrt[3]{2}}$ -5 $\sqrt[3]{-5\sqrt{5} - 2}$ doesn't exist

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4). Suppose that a Simson line of a triangle is parallel to one of the sides of the triangle. Show that the pole of this line must be one of the vertices of the triangle.

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Two solutions to $y'' - y = 0$ are $y_1 = e^t$, $y_2 = e^{-t}$. a) Find the Wronskian. $W =$ b) Are the functions $y_1 = e^t$, $y_2 = e^{-t}$ linearly independent or dependent? Independent Dependent Question 2 Calculate the Wronskian of $y_1 = 5x$ and $y_2 = 7x$. $W(x) =$ b) Are the functions $y_1 = 5x$, $y_2 = 7x$ linearly independent or dependent? Independent Dependent c) If the functions are linearly dependent, there exists coefficients $c_1$ and $c_2$ such that $c_1y_1 + c_2y_2 = 0$ Which of the following would satisfy this? $c_1 = 7$ and $c_2 = 5$ $c_1 = -7$ and $c_2 = 5$ $c_1 = 5$ and $c_2 = 7$ The functions are linearly independent.

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Problems 24 through 26 refer to an ideal inductor that has the periodic current waveform shown on the right. (The waveform repeats continuously.) + V m L = N = 42 mH iL, A 8 6 4 2 0 -2 -4 -6 -8 0 1 2 3 4 5 6 7 8 9 10 t, ms WATCH UNITS! 24. What is the most positive value of the inductor voltage? VMAX = V (2) 25. What is the inductor voltage at t = 4ms? v = V (2) 26. At what time is the stored energy minimum? Circle the correct answer below. a. 0 ms b. 2 ms c. 4 ms d. 6 ms (1) 27. Find the voltage across resistor R? the instant after the switch opens at t = 0. The inductor L is ideal. E = 25V, R? = 500?, and R? = N = 42 ?. + V1 - W R1 t=0 R2 L + E - V1= V (2)

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Example 1 Please enter five integer numbers: 11111 1 Example 2 Please enter five integer numbers: 123415 2 Example 3 Please enter five integer numbers: 1111100 no Example 4 Please enter five integer numbers: 523415 7 Example 5 Please enter five integer numbers: 564425 18

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D) $192 unfavorable 21. The following materials standards have been established for a particular product: Standard quantity per unit of output............ 4.6 grams Standard price........................ $15.05 Per gram The following data pertain to operations concerning the product for the last month: Actual materials purchased and used.......... 2,400 grams Actual cost of materials purchased.......... $33,600 Actual output.......................... 300 units What is the materials quantity variance for the month? A) $9,940 U B) $15,351 U C) $14,484 U D) $10,535 U

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Union Pacific reported the following financial information at yearend 2014: Income Statement (in Millions) Net Sales: $6,800 Other Data (in Millions) Shares Outstanding: 353.00 Less: Operating Expenses: $4,550 Dividends: $441.25 Earnings Before Taxes: $2,250 Shareholder's Equity: $8,825 Less: Taxes: $785 Net Earnings: $1,765 Stock Price: $50.00 per share From the information provided for Union Pacific (above), what is the price to book value ratio for Union Pacific? a. 2.0x b. 2.7x c. 3.0x d. 3.4x e. It cannot be determined from the information provided.

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What is $f(x) + g(x)$, where $f(x) = (2x + 1)$ and $g(x) = x^2 + 3x + 2$?

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