Numerade

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Evaluate the given integral. (If necessary, use $C$ to represent a constant.) $$ \int \tan^5(2\theta) \sec^2(2\theta)d\theta = $$

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Classify the components as being either biotic or abiotic parts of an ecosystem. Biotic primary producers heterotrophic organisms Abiotic precipitation soil sunlight bacteria air temperature Answer Bank

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Differentiate the given series expansion of $f$ term-by-term to obtain the corresponding series expansion for the derivative of $f$. If $f(x) = \frac{x^3}{1 - x} = \sum_{n=0}^{\infty} x^{3+n}$ f'(x) = \sum_{n=0}^{\infty}

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Which of the following is false regarding the “common dilemma” facing an inventor in either protecting an invention through patent law or through trade-secret law? Multiple Choice Trade-secret law could protect an invention in perpetuity. An inventor who successfully patents an invention and defends the patent has a 20-year period of protection. An inventor who successfully patents an invention and defends the patent does not have a guaranteed monopoly on the use of the invention for any period of time, since this would obstruct competition. Once the period of patent protection is over, the patented good goes into the public domain. There is a risk that the patent may be successfully challenged and the protection lost prematurely.

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9. Determine if a precipitate will form for the following solutions. In each case, justify your answer based on Q. a. A 500 mL solution of 0.0250 M Pb(NO$_3$)$_2$ mixed with a 255 mL solution of 0.0045 M solution of Na$_2$CrO$_4$. The K$_{sp}$ of PbCrO$_4$ is $2.8 \times 10^{-13}$.

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5. What is the best choice of reagent(s) to perform the following transformation? A) H2/Lindlar catalyst D) O3, followed by (CH3)2S B) Na/NH3 C) (sia)2BH; followed by H2O2, NaOH E) H2O, H2SO4, HgSO4 6. What is the major organic product obtained from the reaction on the right? A) 1,1-dibromo-3-methylbutane B) 1,2-dibromo-3-methylbutane D) 1,3-dibromo-3-methylbutane C) 2,2-dibromo-3-methylbutane E) 1,4-dibromo-2-methylbutane

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Can I please get an original answer Compare finance and operating leases, and describe the advantages and disadvantages of each. Which type of lease would produce the lowest risk?

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It takes Jean 15 hours to complete a report. If she and Melvin work together, it takes them 9 hours to complete the report. How long would it take Melvin to complete the report if he does the report by himself? Set-up the equation that represents this problem and solve.

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1.On 1/1/2019, Choco Corp. acquired 90% of the voting common stock of Allie Inc. for $180,000 and the fair value of non-controlling interest (NCI) on acquisition date was $20,000. There is no control premium for Choco' acquisition of Allie. Following is intra- entity inventory (downstream) sales between Choco and Allie in 2019 and 2020. 2019 2020 Transfer price $670,000 $500,000 Historical cost $603,000 $425,000 % of intra-entity inventory sales 40% 50% unsold at the end of each year • On 1/1/2019, Choco allocated the entire $70,000 excess fair value over book value of Allie as a "Trademark" (with an estimated remaining life of 7 years). • Choco uses the equity method to account for its investment in Allie. • Following is net income and dividends information for Choco and Allie in 2019 and 2020. 2019 2020 Choco Allie Choco Allie Net income $550,000 $400,000 $650,000 $600,000 Dividends $220,000 $100,000 $320,000 $120,000 • Book value of Allie's net assets on 1/1/2019 is $130,000.

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3.18 Use both long division and partial-fraction expansion to invert the following $z$ transforms, assuming causality, and plot the associated pole/zero diagrams.\\ a. $X(z) = \frac{1}{1 - \frac{1}{4}z^{-2}}$\\b. $X(z) = \frac{1}{1 + \frac{1}{4}z^{-2}}$\\c. $X(z) = \frac{1}{1 - \frac{1}{16}z^{-4}}$\\d. $X(z) = \frac{1}{1 + \frac{1}{16}z^{-4}}$\\(Optional: Check your answers using zplane and either filter or impz.)

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