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Consider the first order separable equation yy′=x(1+y2)An implicit general solution can be written as x2+ =C (NOTE your answer should be a function of y alone)

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We have two vectors 𝑎-> and 𝑏-> with magnitudes a and b, respectively. Suppose 𝑐->=𝑎->+𝑏-> is perpendicular to 𝑏-> and has a magnitude of 3b . What is the ratio of a / b (rounded off to one decimal place) ?

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By the grace of BBBB "in the name of the Father and of the Son and of the Holy Spirit", we are called to Question 6 options: BBBB = Baptism... share in the life of Jesus, but not the Father and Spirit, here on earth in the obscurity of faith, and after death in eternal light. BBBB = faith alone... live in the obscurity of faith on earth so as to deserve eternal light after death. BBBB = Mary... share in the life of the Holy Family, here on earth in the obscurity of faith, and after death in eternal light. BBBB = Baptism... share in the life of the Blessed Trinity, here on earth in the obscurity of faith, and after death in eternal light.

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(WCSP24) Predict whether each of the molecules below is polar or nonpolar. a) CI-CI [Select] b) \n[Select] HOH HO c) H? \n[Select] H HH H OH

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Find the critical numbers, the intervals on which $f(x)$ is increasing, the intervals on which $f(x)$ is decreasing, and the local extrema. Do not graph.\\ $f(x) = \frac{x^2}{x - 8}$\ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.\ A. The critical number(s) of the function are $x = $\ (Use a comma to separate answers as needed.)\ B. There is no solution.\ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.\ A. The function is increasing on\ (Type your answer using interval notation. Use a comma to separate answers as needed.)\ B. There is no solution.\ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.\ A. The function is decreasing on\ (Type your answer using interval notation. Use a comma to separate answers as needed.)\ B. There is no solution.\ Which statement regarding the local extrema of the function is true?\\A. The function has a local minimum at $x = 0$ and a local maximum at $x = 16$.\ B. The function has a local minimum at $x = 16$ and a local maximum at $x = 0$.\ C. The function has no local extrema.

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Flight Café prepares in-flight meals for airlines in its kitchen located next to a local airport. The company's planning budget for July apppears below: Flight Café Planning Budget For the Month Ended July 31 Budgeted meals (q) Revenue ($4.00q) Expenses: Raw materials ($2.00q) Wages and salaries ($6,300 + $0.20q) Utilities ($1,900 + $0.95q) Facility rent ($3,000) Insurance ($2,500) Miscellaneous ($300 + $0.10q) Total expense Net operating income 29,000 $ 116,000 58,000 12,100 3,350 3,000 2,500 3,200 82,150 $ 33,850 In July, 30,000 meals were actually served. The company's flexible budget for this level of activity appears below: Flight Café Flexible Budget For the Month Ended July 31 Budgeted meals (q) Revenue ($4.00q) Expenses: Raw materials ($2.00q) Wages and salaries ($6,300 + $0.20q) Utilities ($1,900 + $0.05q) Facility rent ($3,000) Insurance ($2,500) Miscellaneous ($300 + $0.10q) Total expense Net operating income 30,000 $ 120,000 60,000 12,300 3,400 3,000 2,500 3,300 84,500 $ 35,500 Required: 1. Calculate the company's activity variances for July.

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K 3. Starship Time A starship sets out on a journey to a distant star which is 7 light-years away from Earth, but on the way there they realize that they forgot a screwdriver so upon arrival immediately return to Earth. They travel at a constant speed during the entire round-trip. a. If according to Earth-bound observers the round trip takes 20 years, how much time will have elapsed according to the passengers? What total distance will the passengers say that they traveled? b. If according to passengers on the ship the round trip takes 7 years, how much time will have elapsed according to the Earth? What total distance will the passengers say that they have traveled?

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25. Let the random variable X have the probability density function f(x) = 1/2e^|-x| 25.Let the random variable X have the probability density function x>H>- What are the expected value and the variance of X?

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Problem 6: As current flows as shown in the diagram, evaluate $ \oint \vec{B} \cdot d\vec{A} $ for paths A, B, C, D (answers are not numerical). Problem 7: The plane of a rectangular coil, 5.0 cm by 8.0 cm, is perpendicular to the direction of a uniform magnetic field B. If the coil has 75 turns and a total resistance of 8.0 $ \Omega $, at what rate must the magnitude of B change to induce a current of 0.10 A in the windings of the coil?

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vFind the equation of a line passing through the two points (4, 2) and (-3, 1)

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susan a.