Numerade

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Most police departments have management programs to deal with the stress problems of police officers. O False O True

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True or False: The work done on the surroundings by the expansion of a gas is $w = -P\Delta V$.

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2. Make up a differential equation of the form \frac{dy}{dt} = 2y - t + g(y) that has the function y(t) = e^{2t} as a solution.

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Rationalize the denominator and simplify.\newline$\sqrt{\frac{5}{6}}$

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Answer: This is a convergent p-series, where p = 3/2. 24. Let R be the region bounded by $y = x^2$, $x = 1$, and $y = 0$. Use the Shell Method to find the volume of the solid generated when R is revolved about the line $x = 16$. Give an exact answer in terms of $\pi$. Answer: The volume is given by the definite integral $\int_0^1 2\pi (16 - x) x^2 dx = \frac{61\pi}{6}$ cubic units. 25. A frustum of a cone is generated by revolving the graph of $y = 4x$ on the interval $[1, 9]$ about the x-axis. What is the area of the surface of the frustum? Give an exact answer in terms of $\pi$. Answer: $320\sqrt{17}\pi$ square units.

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What is the probability that either event will occur? Now, find the probability of event B. P(B)=[?]

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For a 4-input footed dynamic NAND gate driving an electrical effort of 1, estimate the output at worst charge sharing noise if supply voltage is 1.2V.

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Using the superposition theorem, determine the current flowing through 10? R6 = 2? E2 = 15V E1 = 30V R3 = 2? R? = 4? R5 = 3? R2 = 10? R4 = 3?

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Text: Question 4 In your local machine's Spark setup, develop a PySpark program using PySpark RDD APIs to perform the following tasks. Show your full PySpark program and provide screenshots and results for all key steps where applicable. Data sources used in this question are: i) product_meta.log, ii) product_review.log. Note that these data files can be downloaded from ICT337 Canvas webpage. (a) Perform the following tasks and show the results in each step: Read both log files and store the content using Spark RDDs. Display the content and number of records. Find the unique number of reviewers and unique number of reviewed products. Find all possible values for both overall ratings and item categories. (3 marks) (b) Perform the following tasks and show the results in each step: Build a look-up table to provide the mapping of "asin" to "title" and store the content using Spark Broadcast variable. Show the broadcast variable content. Compute the average number of word counts for "reviewText" and store the results using RDD pair of: [asin, (reviewText, overall, wordCount)]. Show the content and total number of records. Note: For the word counting, you may use regular expression with pattern matching of "[A-Za-z]+". (c) For each category, perform the following tasks and show the results in each step: Read the product_meta.log data into Spark RDD and display the content and its total number of records. Join the product meta data with the resultant RDD pair in Question 4(b). Show the content and the total number of records. Compute the average word counts for "reviewText". (d) For each category, find the occurrences for all possible values of overall ratings found in Question 4(a). Show the content and the total number of records. (e) For each category, find the Top FIVE (5) most reviewed products. Show the product identifier (i.e., asin), title, and total number of occurrences. Note that you may use the broadcast variable mapping in Question 4(b) to determine the title naming.

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Consider the following AS-AD model where Y is real output, N is the number of employed workers, E is the amount of energy resources used in the economy, pE is the price of energy, w is the nominal wage, Pe is the expected price level, P is the price level, u is the unemployment rate, U is the number of unemployed workers, L is the size of the labor force, and z is our catch-all variable for other labor market conditions. NOTE: be careful to distinguish energy prices pE from expected aggregate prices Pe. Production function: Y = N^(1/2) * E^(1/2) Wage Setting relationship: w = Pe * (z/u) Price setting relationship: P = (1 + m) * (w^(1/2)) * (pE^(1/2)) Unemployment rate: u = U/L Unemployment level: U = L - N 1. Let x = pE/P be the real price of energy. Derive an expression for the real wage in the price setting relationship as a function of the markup and the real price of energy x.

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leslie g.