Numerade

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7. A spherical volume of space has an electric field of intensity 130 N/C directed radially outward from it surface of radius 0.4 m. What is the net charge enclosed within this surface? (εο = 8.85 × 10-12 F/m) a. 3.5 nC b. 2.3 nC c. -3.5 nC d. -2.3 nC e. 0 nC

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Express the derivatives of $\tan^{-1} \left(\frac{2\sin x + \sin 2x}{2\cos x + \cos 2x}\right)$ in terms of $\cos x$.

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You are studying the development of the lung and observe that throughout early development, the lung airways are fluid filled, and occasional “fetal breathing” events occur, expelling fluid from the lungs. You experimentally seal off the fetal trachea, preventing fluid expulsion, and observe that the lungs grow more rapidly. Further, you realize that the lung epithelium is actively transporting liquid into the airways from the surrounding tissues. When you inhibit this active transport, you observe that the lung stops growing. What would you hypothesize the role of airway fluid is and why?

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What are the three basic types of blood vessels? Select all that apply.

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a. Find the partial derivatives of the original function. f$_x$(x, y) = f$_y$(x, y) = f$_{xx}$(x, y) = f$_{xy}$(x, y) = f$_{yy}$(x, y) = b. Find the critical point in the region. The point is $(rac{1}{6}, rac{-7}{6})$ c. Compute the discriminant at the critical point. The discriminant is -12 d. Determine if the critical point is a maxima, minima, or saddle point. saddle point

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A two-year bond with par value $1,000 making annual coupon payments of $90 is priced at $1,000. Required: a. What is the yield to maturity of the bond? (Round your answer to 1 decimal place.) Yield to maturity Answer is complete and correct. 9.0 % b. What will be the realized compound yield to maturity if the one-year interest rate next year turns out to be (a) 7.0%, (b) 9.0%, (c) 11.0%? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Answer is not complete. Interest Rate Realized YTM 7.0% % 9.0% % 11.0% %

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Problem 5.25. Prove that the binomial tree $B_i$, defined in Section 5.8 contains $2^i$ nodes, of which $\binom{i}{k}$ are at depth $k$, $0 \le k \le i$.

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Bruce Corporation makes four products in a single facility. These products have the following unit product costs: Products A B C D Direct materials $14.20 $10.10 $10.90 $10.50 Direct labor 19.30 27.30 33.50 40.30 Variable manufacturing overhead 4.20 2.60 2.50 3.10 Fixed manufacturing overhead 26.40 34.70 26.50 37.10 Unit product cost $64.10 $74.70 $73.40 $91.00 Additional data concerning these products are listed below. Products A B C D Grinding minutes per unit 3.70 5.20 4.20 3.30 Selling price per unit $76.00 $93.40 $87.30 $104.10 Variable selling cost per unit $ 2.10 $ 1.10 $ 3.20 $ 1.50 Monthly demand in units 3,900 3,900 2,900 3,100 The grinding machines are potentially the constraint in the production facility. A total of 54,900 minutes are available per month on these machines. Direct labor is a variable cost in this company. How many minutes of grinding machine time would be required to satisfy demand for all four products? Multiple Choice 42,690 12,280 54,900 57,120

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Under the purchase and assumption method of the safety net, the government finds another bank to take over the failing bank.

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The conditions to improve dissolving a salt in a mixture of two acids are studied. The rate of dissolution (y) is controlled by the temperature of the reaction (x1), the reaction time (x2), the stoichiometric ratio of acid 2 (x3), and the concentration of acid (x4). Collection data randomly ensured variability. Three additional central points (59.3, 58.7, 69) provide data for reproducibility.

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francisca h.