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kristina harrell

kristina h.

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Which of the following functions are solutions of the differential equation $y'' + y = \sin(x)$? (Select all that apply.) $y = \frac{1}{2}x \sin(x)$ $y = -\frac{1}{2}x \cos(x)$ $y = x \sin(x) - 4x \cos(x)$ $y = \sin(x)$ $y = \cos(x)$

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A magnetic field goes through a loop of wire, as shown below. If the magnitude of the magnetic field is decreasing, what can we say about the current in the loop? Group of answer choices: The loop has a clockwise current. The loop has a counterclockwise current. The loop has no current.

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4. Assume the simplified equation of the SRAS is P=3+1.5*Y, while the equation of the AD curve is P=5-0.5Y. Let us assume, that initially, the crossing of the two curves is the long run equilibrium. a) If the AD curve shifts downwards by half a unit, what will be the equilibrium price level in the third period? (taking initial LR eq. as the first period). (10) b) What is the level of output in the fourth period? (10) c) What is the new long run level of output and prices? (5)

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Tai is a college sophomore with numerous interests. Public service has always appealed to her, but she is not sure if teaching will be a satisfying career. Which set of motivations would be the best indicator that Tai would find satisfaction in teaching? a) She feels a strong desire to contribute to society and wants a professional salary. b) She wants to work with others and desires a flexible work schedule. C) She enjoys intellectual stimulation and wants to perform a service to society. d) She wants public recognition for her work and enjoys working with people. Tai is a college sophomore with numerous interests. Public service has always appealed to her, but she is not sure if teaching will be a satisfying career. Which set of motivations would be the best indicator that Tai would find satisfaction in teaching?

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3-23. Determine the symmetries of the normal modes of vibration of the following molecules: a. b. PH$_3$ c. CH$_4$ d. linear C$_4$ e. C$_3$H$_3^+$ f. CH$_3$CN g. FeF$_6^{3-}$ (ligands on cartesian axes) h. C$_3$H$_4$ (allene)

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Approximate the area under the graph of $f(x) = 0.02x^4 - 1.21x^2 + 65$ over the interval $[3, 11]$ by dividing the interval into 4 subintervals. Use the left endpoint of each subinterval.\ The area under the graph of $f(x) = 0.02x^4 - 1.21x^2 + 65$ over the interval $[3, 11]$ is approximately.\ (Simplify your answer. Type an integer or a decimal.)

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Find the absolute maximum and absolute minimum values of f on the given interval f(x) = 6x^3 - 27x^2 - 72x + 5, [-2,5] absolute minimum value (4, -331) (-1, 44) absolute maximum value

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6. A heat pump absorbs heat from the cold outdoors at 3°C and supplies heat to a house at 20°C at a rate of 30,000 kJ/h. If the power consumed by the heat pump is 3 kW, the coefficient of performance of the heat pump is (a) 0.36 (b) 1.18 (c) 16.2 (d) 2.78

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Does living on campus affect the monthly expenses of university students? Hypothesis: Studying on campus is more costly than studying at home. Introduction People nowadays frequently use their phones. They take their phones with them wherever they go. What makes the phone so unique? The type of phone we are talking about right now, in particular, is a smartphone. Apart from texting and calling, smartphones are equipped with a variety of useful applications that may be used as work tools, reminders, and much more. In the beginning, our group decided to do a study on measuring the satisfaction of users using applications on their smartphones. But then, we realized that it is quite difficult for us to measure satisfaction. Therefore, we changed our study from measuring their satisfaction on using the application to observing the money that they spent on in-app purchase applications. To be specific, we compare them with two types of applications: games applications and other applications such as entertainment apps, educational apps, and finance apps. Next, we state our hypothesis that people spend more on games rather than in-app purchases because they prefer game features more than other applications. People nowadays often spend their money on games such as "Mobile Legends: Bang Bang," "PUBG: Mobile," and "Genshin Impact." However, there are also people who do spend their money on other apps like "Spotify," "Netflix," and "YouTube." Thus, to confirm our hypothesis, we take a sample of 100 respondents to be used for data analysis, which is gathered through a survey that we distributed among various types of people. Furthermore, we create our survey using "Google Form" and distribute the survey links through social media platforms such as WhatsApp and Telegram. In the survey, we ask them about their demographics, what kind of apps they use, how much they spend, and we ask about their funding sources, whether they use their pocket money, scholarship, or loans.

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Question 40 3 pts Consider a air-filled parallel-plate capacitor made from square plates of side length 3 [m] and a separation distance of 10 [µm). If you want to increase the capacitance by 2 [µF], by what distance would you decrease the plate separation? Express your answer in [µm] to the nearest 0.1 [µm].

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