Numerade

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1) Use a double integral to find the area bounded by the graph $$r=2-\cos\theta$$ (the cardioid).

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\begin{tabular}{|l|l|l|l|} \hline G. Evaluate the ff expressions. & \begin{tabular}{l} H. Find the other values of the trigonometric functions of the $ \theta $ from the given \\ information. \end{tabular} \\ \hline 1. $ 2 \cos ^{2} \frac{7 \pi}{6}-\sin ^{2} \frac{\pi}{6}-\cos =\frac{5 \pi}{6} $ & 1. $ \tan \theta=-\frac{3}{4}, \cos \theta>0 $ & 2. $ \sec \theta=2, \frac{3 \pi}{2}<\theta<2 \pi $ \\ \hline 2. $ \left(\sin \frac{11 \pi}{2}-2 \cos \frac{10 \pi}{3}+\tan \frac{\pi}{6}\right)^{2} $ & \\ \hline 3. $ \cot \frac{\pi}{6}+\tan \frac{7 \pi}{3}+\sin \frac{8 \pi}{3} $ & \\ \hline \end{tabular}

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Required information [The following information applies to the questions displayed below.] Alexandra's Boutique has the following transactions related to its top-selling Gucci purse for the month of October. Date Transactions Units Unit Cost Total Cost October 1 Beginning inventory 6 $ 780 $ 4,680 October 4 Sale 4 October 10 Purchase 5 790 3,950 October 13 Sale 3 October 20 Purchase 4 800 3,200 October 28 Sale 7 October 30 Purchase 6 810 4,860 $ 16,690 2. Using FIFO, calculate ending inventory and cost of goods sold at October 31. Ending inventory Cost of goods sold

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Suppose that a profit-maximizing monopolist has a plant of the optimal size and is producing a level of output at which price is $750, average variable cost is $449, and average fixed cost is $319. The firm should (select all that applies): operate in the short run. shut down in the short run. exit the market in the long run. continue to operate in the long run. Suppose that a profit-maximizing monopolist has a plant of the optimal size and is producing a level of output at which price is $750,average variable cost is $449,and average fixed cost is $319 The firm should(select all that applies): operate in the short run. shut down in the short run. exit the market in the long run continue to operate in the long run

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Use the setting in May's theorem where x={a,b} but restrict our domain to LO^(n). Call the following condition for a social welfare function f (Monotonicity): for any x!=y in x and profiles R=(R_(1),...,R_(n)), R^(')=(R_(1)^('),...,R_(n)^(')), if xR_(f(R))y and there is k such that for any i!=k, R_(i)=R_(i)^(') while R_(k)=R_(y)>-x and R_(k)^(')=R_(x)>-y, then xR_(f(R^(')))y. Describe all social welfare functions that satisfy (Anonymity), (Neutrality), and (Monotonicity) and prove that there are nothing more.

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YOU HAVE A MAXIMUM OF 3 CONTINUOUS HOURS TO COMPLETE THE 100 QUESTION TEST. Question 62 of 100 Sherry donates $5,000 to the university in exchange for the right to purchase tickets for the upcoming football season. How s contribution? A deduction is not allowed. She must limit the deduction to 50% of the cost. She may deduct $5,000 as a charitable contribution. She may deduct $5,000 as a business expense.

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In Visual Studio using C#, how do you add column headers to a listbox?

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(6 points) Which of the following sets are subspaces of $\mathbb{R}^3$? A. $\{(2x, 9x, 4x) \mid x \text{ arbitrary number} \}$ B. $\{(5, y, z) \mid y, z \text{ arbitrary numbers} \}$ C. $\{(x, y, z) \mid x, y, z > 0\}$ D. $\{(x, y, z) \mid x + y + z = -2\}$ E. $\{(x, y, z) \mid 5x - 6y + 7z = 0\}$ F. $\{(x, y, z) \mid -5x + 6y = 0, -7x + 2z = 0\}$

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6.3 Study Figure 3 and answer the following question: D1 Vp (in) 0.7 V RL Figure 3 Vp (out) 6.2.1 Draw the output waveform of the circuit. (2) 6.2.2 Calculate the peak output voltage if the peak input voltage is 5 V. (3) 6.2.3 Calculate the average value of the output voltage of the rectifier if the peak input voltage is 5 V. (2)

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- Can you outline an issue with using arithmetic symbols with primitive types in the higher level languages? float + int int + char char + 1

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alvaro p.