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Question 1 Positivism is a belief that individuals must act in ways that benefit the greatest number of people in society. O true O false

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Two slits with a separation of 8E-5 m creates an interference pattern on a screen 2.5 m away. The third bright fringe is a linear distance of 5.39 cm above the central bright fringe. What is the angle, θ, formed between this band of contructive inference and the central fringe? Answer in degrees. Correct response: 1.235536 ± 5.0% What is this angle θ in radians? Correct response: 0.021564 ± 5.0% What is sinθ for this angle? Correct response: 0.021562 ± 5.0% What is the wavelength of light used in the experiment? (Remember that you can use the small angle approximation, sinθ = θ, and save some time pushing buttons on your calculator.)

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Find the divergence of the vector field $\mathbf{F}(x, y, z) = \langle 6e^{x^2 y^3 z^2}, 3e^{x^3 y^2 z^2}, -9e^{x^2 y^3 z^3} \rangle$. Provide your answer below: $\nabla \cdot \mathbf{F} = \square$

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Table 1 Q TFC TVC TC AFC AVC ATC MC 0 36 0 36 -- -- -- -- 1 36 9 45 36 9 45 9 2 36 41 37 3 36 135 171 4 336 84 165

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If we next define a set of inter-event distances then we can begin to define a type of test that will rule in, or rule out, complete spatial randomness. In the example where events represent the residential addresses of cancer patients then finding the spatial pattern is not random is extremely important because it means that there may be an environmental cause. Question 2. Let $d_{ij}$ be the Euclidean distance between points $(x_i, y_i)$ and $(x_j, y_j)$; how many unique inter-event distances are there with 25 points? (Hint: This is the same as asking how many possible edges are there in a graph consisting of 25 nodes.)

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done = "s"

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Refer to section 5 in the course notes. Choose the definite integral that represents the area of the shaded region in the graph: (1,5) y=f(x) (4,2) $\int_1^4 f(x)dx$ $\int_2^5 f(x)dx$ $\int_5^2 f(x)dx$ $\int_1^5 f(x)dx$ $\int_4^1 f(x)dx$ Cannot be determined from the graph $\int_2^4 f(x)dx$

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f(x) = -3x² find and simplify the difference quotient m_{sec} = \frac{f(x) - f(a)}{x - a} \text{ for } a = -4. m_{sec}(x) =

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Texts: Diethyl ether, (CH3)2O, used as a solvent for extraction of organic compounds from aqueous solutions, has a high vapor pressure which makes it a potential fire hazard in laboratories in which it is used. How much energy is released when 16.5 g is cooled from 53.00°C to 10.0°C? boiling point 34.5°C, heat of vaporization 351 J/g, specific heat capacity (CH3)2O(l) 3.74 J/(g*K), specific heat capacity (CH3)2O(g) 2.35 J/(g*K). A) 6.55 kJ B) 8.02 kJ C) 12.2 kJ D) 24.3 kJ E) 48.6 kJ

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There's a bag of candy. There are five types of candy, each named below. ['Kit Kat', 'Snickers', 'Milky Way', 'Toblerone', 'Twix'] import matplotlib.pyplot as plt candy_names = ['Kit Kat', 'Snickers', 'Milky Way', 'Toblerone', 'Twix'] candy_counts = [52, 39, 78, 13, 78] 1. Draw a diagram visualization in Jupiter source file (Anaconda. Navigator - Python) that showing the percentage chance that we will get the Snickers candy out of the bag if we make a random draw? 2. Mention the probability of choosing a Snickers candy? 3. Choosen chart?

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suzanne b.