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Find the derivative. $y = e^{5x} \cdot 3x^6$ $18x^5e^{5x} + 15x^6e^{5x}$ $5e^{5x} \cdot 18x^5$ $5xe^{5x-1} \cdot 18x^5$ None of these $18x^5e^{5x} + 15x^7e^{5x-1}$

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Conductivity vs. Time (min) 300 295 290 285 280 275 270 265 260 255 250 0 2 4 6 8 10 12 14 16 Time Conductivity

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2. For the following wave form, please a) calcualte the period T and angular w b) Find the phase angle ? c) Find the wave form equation y(t)

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c) Self-consistent field methods in quantum chemistry include the Hartree and Hartree-Fock methods. i. Describe one difference between the Hartree and the Hartree-Fock methods. ii. Each Hartree and Hartree-Fock method has its own one significant term in their equations. State the one crucial term and its physical origin in I. The Hartree method II. The Hartree-Fock method

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Texts: Please show the steps for any equations Jan 20 is incorrect. Entries for Notes Receivable, Including Year-End Entries The following selected transactions were completed by Fasteners Inc. Co., a supplier of buttons and zippers for clothing: 20Y3 Nov. 21. Received from McKenna Outer Wear Co., on account, a $96,000, 60-day, 3% note dated November 21 in settlement of a past due account. Dec. 31. Recorded an adjusting entry for accrued interest on the note of November 21. 20Y4 Jan. 20. Received payment of note and interest from McKenna Outer Wear Co. Journalize the entries to record the transactions. If an amount box does not require an entry, leave it blank. Assume a 360-day year when calculating interest. 20Y3, Nov. 21 Notes Receivable 96,000 Accounts Receivable - McKenna Outer Wear Co. 96,000 Dec. 31 Interest Receivable 320 Interest Revenue 320 20Y4, Jan. 20 Cash 96,000 Notes Receivable 460 Interest Receivable 320 Interest Revenue 96,480

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Problem 4: Simulate a binomial distribution Random number generators initially provide uniformly distributed random numbers in an interval of unit length, but often we need to sample from other distributions. Suppose that we wish to simulate a random variable n drawn from Pbinom(n, N = 3, p). We can do this by partitioning the unit segment into four bins of width (1 - p)^3, 3p(1 - p)^2, 3p^2(1 - p), and p^3 corresponding to n = 0, 1, 2, 3. The width of each bin is thus proportional to the probability of occurrence. To sample from Pbinom(n, N, p), one thus simply draws a uniformly distributed random number and finds the bin index into which that number falls. (a) Write a function binom-setup that accepts a value of p and returns a list of locations of the bin edges appropriate for N = 5. (b) Write another function binom-dist that accepts the list of bin edges as input and returns a single binomially distributed random variable.

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Ethane is compressed using a multistage centrifugal compressor. As with reciprocating compressors, the compression ratio of a centrifugal compressor ranges from 1.2 to 4. We want to compress 400 SCFM of ethane at 70°C from atmospheric pressure to 2,450 psig. Given: M.W. ethane = 30.07 g/mol, \(\gamma\) = 1.186, \(C_p\) of ethane is 0.41 Btu/lbm-°F. a) How many impellers do we need in this compressor? Assume each stage has the same compression ratio b) What is the brake horsepower of the compressor if the efficiency of each stage is 89%

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In problems 7-8 you will start with a short run production function, and learn how to derive a cost function and marginal cost function from this. Suppose that short run production function is: q = 2L^{0.25} and the wage is: w = 64. (For simplicity, there is just labor in this production function.) 7. Solve for total cost function, that is, the total cost of producing q units of output. (Hint: start by solve the production for L by itself, which gives the number of units of labor required. You then need to multiply by wage.) 8. Starting from the total cost function you just found, find the marginal cost function and average cost function.

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A payday loan company charges a $45 fee for a $600 payday loan that will be repaid in 20 days. Treating the fee as simple interest, what is the equivalent annual interest rate? % Round to the nearest percent. This will be over 100%

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In most situations, an auditor issues a qualified opinion or disclaims an opinion. Select one: a. True b. False In order to make adequate disclosure of related party transactions, companies should report the legal form, rather than the economic substance, of these transactions. Select one: a. True b. False A qualified opinion is issued when the exception to the standard opinion is not of sufficient magnitude to invalidate the statements as a whole. Select one: a. True b. False The two types of fraud are Select one: a. Intentional and Unintentional b. Misappropriation of Assets and Fraudulent Financial Reporting c. Discrete and Integral d. Annualized and Marginal e. Qualified and Unqualified

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