Numerade

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Unit circle is a circle with unit radius. Let’s consider the unit circle centered at the origin in the xy-plane, defined by the equation x2 + y2 = 1. (4pts) (a) What is the representation of the point on the defined unit circle with an explicit parametrization? (1pt) (b) What is the representation of the point on the defined unit circle with an implicit parametrization? (1pt) (c) What is the Degrees of Freedom (DOFs) of the unit circle? (1pt) (d) Why the unit circle defined on 2-dimensional space (xy-plane) has that DOF(s)? (1pt

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Find the critical value or values of (χ) with superscript (2) based on the given information: H1: σ < 0.14 n = 23 α = 0.10

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39) Epigenetic changes a. regulate transcription through the modification of promoter regions. b. regulate transcription by binding proteins to the regulatory promoter. c. modify the mRNA after it has been transcribed. d. break down mRNA. e. regulate transcription by condensing or decondensing regions of DNA.

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Evaluate $$\int e^{5x} \sin(x) dx$$. Solution Neither $e^{5x}$ nor $\sin(x)$ becomes simpler when differentiated, so let's try choosing $u = e^{5x}$ and $dv = \sin(x) dx$. (It turns out that, in this example, choosing $u = \sin(x)$ and $dv = e^{5x} dx$ also works.) Then $du = \boxed{5e^{5x} dx}$ and $v = \boxed{-\cos(x)}$, so integration by parts gives (1) $\int e^{5x} \sin(x) dx = \boxed{-e^{5x} \cos(x)} + 5\int e^{5x} \cos(x) dx$. The integral that we have obtained, $\int e^{5x} \cos(x) dx$, is no simpler than the original one, but at least it is no more difficult. Having had success in a previous example integrating by parts twice, we persevere and integrate by parts again. It is important that we again choose $u = e^{5x}$, so $dv = \boxed{\cos(x) dx}$. Then $du = 5e^{5x}dx$, $v = \sin(x)$, and (2) $\int e^{5x} \cos(x) dx = (\boxed{e^{5x} \sin(x)}) - 5\int e^{5x} \sin(x) dx$. At first glance, it appears as if we have accomplished nothing because we have arrived at $\int e^{5x} \sin(x) dx$, which is where we started. However, if we put the expression for $\int \cos(x) e^{5x} dx$ from Equation (2) into Equation (1) we get $\int e^{5x} \sin(x) dx = -e^{5x} \cos(x) + 5e^{5x} \sin(x) - \boxed{25} \int e^{5x} \sin(x) dx$. This can be regarded as an equation to be solved for the unknown integral. Adding $25 \int e^{5x} \sin(x) dx$ to both sides, we obtain $(\boxed{26}) \int e^{5x} \sin(x)dx = -e^{5x} \cos(x) + 5e^{5x} \sin(x)$. Dividing by 26 and adding the constant of integration, we get $\int e^{5x} \sin(x) dx = \boxed{\frac{-e^{5x} \cos(x) + 5e^{5x} \sin(x)}{26}} + C$.

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Upon learning that you are a psychology major, one of your friends immediately starts asking for study tips, noting that when he takes a test, he cannot seem to remember anything. This issue is best addressed by the subfield of personality psychology clinical psychology biological psychology cognitive psychology

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The file given below contains data on 91 billings from Rebco, a (fictional) company that sells plumbing supplies to retailers. The data is a random sample from all of Rebco's billings. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below. Do not round intermediate calculations. Round your answers to three decimal places. Negative values, if any, should be indicated by a minus sign. Customer Customer Size Days Amount 1 Large 10 $1,683 2 Small 21 $88 3 Medium 18 $305 4 Medium 21 $766 5 Large 14 $774 6 Large 27 $853 7 Medium 12 $253 8 Small 17 $301 9 Small 20 $60 10 Medium 19 $795 11 Large 19 $970 12 Medium 16 $667 13 Large 18 $1,759 14 Small 20 $320 15 Small 19 $264 16 Large 15 $906 17 Medium 17 $722 18 Small 23 $222 19 Large 33 $748 20 Large 13 $1,648 21 Medium 19 $383 22 Medium 15 $495 23 Medium 18 $297 24 Medium 30 $373 25 Medium 28 $693 26 Medium 19 $481 27 Medium 14 $685 28 Medium 29 $235 29 Medium 24 $437 30 Medium 16 $383 31 Small 24 $106 32 Small 24 $64 33 Large 11 $1,029 34 Small 20 $234 35 Small 23 $111 36 Medium 24 $758 37 Small 17 $92 38 Small 9 $134 39 Small 16 $208 40 Medium 22 $723 41 Medium 18 $216 42 Small 15 $104 43 Medium 28 $442 44 Medium 19 $290 45 Medium 16 $407 46 Small 24 $81 47 Medium 16 $488 48 Small 16 $329 49 Small 25 $237 50 Small 11 $314 51 Medium 14 $684 52 Medium 18 $416 53 Medium 29 $452 54 Large 22 $1,299 55 Small 26 $93 56 Medium 14 $469 57 Large 15 $770 58 Medium 28 $274 59 Small 29 $83 60 Large 21 $1,833 61 Medium 20 $338 62 Medium 27 $731 63 Large 20 $1,521 64 Medium 13 $634 65 Small 27 $181 66 Large 13 $1,305 67 Large 15 $1,836 68 Medium 16 $405 69 Small 12 $177 70 Small 23 $202 71 Medium 31 $688 72 Medium 12 $637 73 Large 10 $1,166 74 Medium 13 $478 75 Small 21 $287 76 Large 12 $988 77 Large 16 $1,443 78 Small 20 $272 79 Large 12 $1,533 80 Medium 29 $353 81 Medium 19 $727 82 Large 29 $1,763 83 Large 25 $1,029 84 Medium 26 $500 85 Small 23 $153 86 Small 14 $167 87 Large 24 $1,089 88 Large 23 $658 89 Large 22 $1,239 90 Large 23 $1,908 91 Small 16 $338 Calculate a 95% confidence interval for the proportion of all bills paid within 15 days. Lower limit: Upper limit:

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Refer to Figure 4-7. If the wheat market is in competitive equilibrium the total surplus will equal a. area 1+2+3+4+5 b. area 1+2+3 c. area 2+3+4+5 d. area 4+5

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Show that the inverse Laplace transform of $F(s) = \frac{\omega}{(s + a)^2 + \omega^2}$ is given by $\mathcal{L}^{-1}[F(s)] = e^{-at}\sin(\omega t)$

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Let $f(x, y) = \frac{x + 3y}{x^3 + 4}$ \newline Evaluate $f(0, 0)$

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Texts: 17 Select the correct answer from each drop-down menu. The function y=(sin^3x)/(cos^3x) is a function, and the function y=(1)/(sec^3x) is a function. Reset Next

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gloria m.