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Question 6 Consider the piecewise function $$ f(x) = \begin{cases} x & \text{if } x \in (-\infty, -1) \\ \frac{2x + k}{k^2x^2 - x + 1} & \text{if } x \in [-1, \infty) \end{cases} $$ Find all values of $k \in \mathbb{R}$ such that $f(x)$ is continuous for all $x \in \mathbb{R}$.

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1 Problem 1: Recurrent Neural Network (20 points) Recurrent Neural Networks (RNN) are artificial neural networks that contains temporal connections among neural nodes in the same layer. Compare to normal feedforward neural networks, RNNs are good at processing sequential data with arbitrary length and can learn to model temporal dynamic behaviors. Long Short-Term memory [1] is the most famous RNN variant that are widely used in deep learning field. a. (10 points) LSTM contains a forget gate to decide how many previous information need to be kept. There is a Sigmoid activation in the forget gate. Explain why we use Sigmoid here, instead of Tanh. b. (10 points) In neural language processing and many other fields that process sequential data, more and more LSTM-based models are replaced by Transformer-based models [2] nowadays. Why LSTM is not as popular as before now? List at least 2 drawbacks of LSTM-compared to Transformer. Explain each of them with 1 to 3 sentences.

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Give brief descriptions of 5 methods of taper turning on lathe

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Show that the recovery factor for a very active water drive gas reservoir can be written as: RF = 1 - (Sgr) / (1 - Swi)

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A new technological hurdle decreases production for an industry and shifts the supply curve to the left. If the firm _____, then the firm will likely be unhappy about this new technology problem. O produces products that are price inelastic O produces products that are price elastic O produces products that are necessities

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You are non-Native, yet you wore a Native American headdress to Burning Man. This is arguably an act of cultural appropriation.

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Write a program that uses if-else-if statements to print out grades A, B, C, D, F according to the following criteria: A: 90-100 B: 80-89 C: 70-79 D: 60-69 F: <60 Use the Scanner class to accept a number score from the user to determine the letter grade. Print out "Score out of range." if the score is less than 0 or greater than 100. Write a program that accepts an integer between 1 and 7 from the user. Use a switch statement to print out the corresponding weekday. Print "Out of range" if the number is less than 1 or greater than 7. Don't forget to include "break" statements in each of your cases.

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Eurodollar deposits are A. Dollar-denominated deposits made in banks in Europe. B. Euro-denominated deposits that are redeemable in dollars. C. Deposits that may be made in euros or dollars. D. Euro-denominated deposits made in the US.

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QUESTION 4 What was the greatest controversy surrounding the Australian government's response to the 1881 smallpox outbreak? Quarantine measures' apparent conflict with individual freedoms High number of deaths Inability of the public health system to handle the number of smallpox patients That the government didn't take smallpox seriously enough 1 points Save Answer

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Write a program in python that prompts the user to enter an integer from 1 to 15 and displays an inverted pyramid, shown in the following sample run is a regular pyramid Enter the number of lines: 7 1 2 1 2 3 2 1 2 3 4 3 2 1 2 3 4 5 4 3 2 1 2 3 4 5 6 5 4 3 2 1 2 3 4 5 6 7 6 5 4 3 2 1 2 3 4 5 6 7

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sherry w.