Numerade

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Find polynomials q(x) and r(x) such that f(x) = g(x)q(x) + r(x), and r(x)=0 or deg r(x) < deg g(x): c) f(x) = 2x^4 + x^2 -x + 1 and g(x) = 2x - 1 in Z5[x]

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Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable that converts it into a linear equation. The most important such equation has the form $$y' + p(t)y = q(t)y^n$$ and is called Bernoulli's equation after Jakob Bernoulli. If n≠ 0, 1, then the substitution $$v = y^{1-n}$$ reduces Bernoulli's equation to a linear equation. Solve the given Bernoulli equation by using this substitution. $$t^2y' + 2ty - y^3 = 0, t > 0$$ Ο $$y = \pm \frac{1}{\sqrt{\frac{1}{3t} + ct^2}}$$ Ο $$y = \pm \frac{2}{5t} + ct^4$$ Ο $$y = \pm \sqrt{\frac{2}{5t} + ct^4}$$ Ο $$y = \pm \frac{1}{\sqrt{\frac{2}{5t} + ct^4}}$$ Ο $$y = \pm \sqrt{\frac{1}{3t} + ct^2}$$

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1 1 point Multiply the polynomials. $(x + 5) (x^2 - 7x + 4)$ Answer: ax$^b$ + cx$^d$ + ex$^f$ + g a = type your answer... b = type your answer... c = type your answer... d = type your answer... e = type your answer... f = type your answer... g = type your answer... 2 Multiply the polynomials $(x - 3) (x^2 + 8x + 1)$

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Find the domain of the following vector-valued function.\\ r(t) = \sin 2ti + e^{5\sqrt{t}}j + \frac{10}{t}k\\ Select the correct choice below and fill in any answer box(es) to complete your choice.\\ A. \{t: \boxed{} < t < \boxed{}\}\ B. \{t: t \le \boxed{}\}\ C. \{t: t \le \boxed{} \text{ or } t \ge \boxed{}\}\ D. \{t: t > \boxed{}\}\ E. \{t: t < \boxed{}\}\ F. \{t: t < \boxed{} \text{ or } t > \boxed{}\}\ G. \{t: \boxed{} \le t \le \boxed{}\}\ H. \{t: t \ge \boxed{}\}

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1. Formulate a Layer's mash for 32 weeks old layers (peak production). You are to make enough feed, on DM basis, each time for a flock of 2,000 birds. The ration mix should contain 17% crude protein (CP. You are to use maize, sorghum, soybean meal and sunflower meal as your feed ingredients in the mix. The sorghum is to constitute 10% of the ration while sunflower should make 8% of the ration. The daily requirements are as follows: Feed Intake ME (kcal/kg) Methionine Lysine (%) Ca (%) P (%) + Cystine (%) (Available) (% of DMI) 105g/bird/day 2,850 0.6 0.71 4.0 0.45 The compositions of the feed ingredients are as follows: DM (%) CP (%) ME (kcal/kg) Lysine (%) Methionine (%) Cystine (%) Ca (%) P (%) DM basis Maize 86 8.3 3,400 0.29 0.17 0.09 0.030 0.27 Sorghum 88 9.2 3,140 0.24 0.09 0.18 0.040 0.28 Soybean 90 44.0 Meal Sunflower 92 26.8 meal 3,340 0.32 0.60 0.67 0.30 0.75 2,370 1.70 1.50 0.70 0.460 1.12 Other ingredients available (assumed to be 100% DM are Dicalcium Phosphate (DCP) Ca 23% P 18% Limestone Ca 36% Lysine and methionine, if deficient, are supplied as synthetic amino acids Formulate the ration, showing all the steps in the process. Values or weights of the feeds to be mixed and the final weight of the ration formulated should be given on as fed basis. If there are any deficiencies, show how you are going to meet them. Indicate how frequent you will be compounding the ration so as you do not run out of feed. not even for a single day. You are encouraged to compound only 500 kg (DM basis) at a time.

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recorded. Assume the company uses a sales journal, purchases journal, cash receipts journal, cash dis- Identifying journal bursements journal, and general journal as illustrated in this chapter. Following is information from Jesper Company for its initial month of business. 1. Identify the balances listed in the accounts payable subsidiary ledger. 2. Identify the Accounts Payable balance listed in the general ledger at month's end. of entry C2 Exercise 7-5 Controlling accounts and subsidiary ledgers C3 Credit Purchases Cash Paid Jan. 9 Bailey Company. $14,000 Jan. 19 Bailey Company $10,100 18 Johnson Brothers. 6,600 27 Johnson Brothers 6,600 22 Preston Company 6,200 31 Preston Company. 5,400

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Try 2 of 5 Problem 2 of 2 The input of the following circuit over 16 clock cycles is 001101,101110,010011,110100,000000,000101,001100,100001,111001,100100,011000,001011,100111,001001,111001,010001 respectively, each in the order of W, S0, S1, Ino, In1, In2. What is the output of the circuit at the end? Show that in the order of Outo, Out1, Out2 without comma and parentheses, such as 101.

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13. Approximately 91% of all adults in South Korea have a cell phone. In a simple random sample of 200 adults in the United States, 171 owned cell phones. A researcher wants to perform a test at the $\alpha = 0.01$, where $p$ = the proportion of adults who own cell phones in the U.S.? Is there enough evidence to support the researcher's claim? a. State the null and alternative hypotheses b. Calculate the test statistic and the $p$-value. Draw the picture. c. Decide whether or reject or fail to reject the null hypothesis at the given significance level? d. Is there convincing evidence to suggest the proportion of adults who own cell phones in the U.S. is lower than the proportion of adults who own cell phones in South Korea? Be sure to use context in your answer!

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The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. Calculate the correlation coefficient, r. Age, x | 41 | 44 | 48 | 51 | 54 | 56 | 60 | 64 | 68 | Pressure, y | 118 | 122 | 125 | 133 | 144 | 147 | 150 | 152 | 154 | 0.890 0.908 0.998 0.960

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N Corporation was recently formed with an unlimited number of authorized no-par value common shares. The following events occurred in the order shown in its first year. Sold and issued 5,000 common shares for cash at $26 per share. Issued a 10% share dividend when the shares were selling at $30 per share. Declared a cash dividend of $1 per share on the shares outstanding. Paid the cash dividend declared in (3). Purchased and cancelled 100 shares for cash at $27 per share. Issued a 2-for-1 share split when the market price was $20 per share. Net income for the year was $250,000. Prepare journal entries for the above events. If no journal entry is required, write "no entry" - do not merely leave blank.

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