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Payday loans are a dangerous way to borrow money, and charge an annual interest rate of almost 400%.

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ase answer all 30 multiple choice questions. You have 2 hours to complete the exam once you begin. Question 20 Why do supply curves tend to be more elastic over time? All of the answers are correct. Sellers have time to adjust and increase production. Consumers have time to look for substitutes for the good. Consumers have time to reduce their consumption of the good. Previous 1 pts Next

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#$## Is there a fundamental limit to the precision with which we can measure physical quantities?

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Christopher rarely raises his voice or loses his temper. He tends to be calm and the "voice of reason" in chaotic situations and is described by his coworkers as steady and relaxed. Christopher probably scores ? low in neuroticism. ? high in introversion. ? high in neuroticism. ? high in openness to experience. ? low on introversion.

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5. The data file "Assignment 3 Data.mat" (available on eClass) contains the forced vibration responses of a 1DOF spring-mass- viscous damper system ($\frac{x_p(t)}{8_{st}}$ vs $t$) to a chirped excitation. The data was collected when ISO100 oil, ISO13 oil, and water were used as the damping fluid. Using Matlab, write a code that does the following: (a) Plots the responses ($\frac{x_p(t)}{8_{st}}$ vs $t$) in a single plot using proper legends, axis labels, etc. Explain the trends observed. (b) Plot the frequency responses (Envelope[abs($\frac{x_p(t)}{8_{st}}$)] vs $f$). Note that you can find the envelope by separating only the peaks of abs($\frac{x_p(t)}{8_{st}}$) using the findpeaks command. Explain the trends observed. (c) Using the frequency response plots, extract information (e.g., bandwidth, resonance frequency, etc) and find Quality factor, resonance frequency, bandwidth, and Damping ratio for each damping liquid. Explain the trends observed.

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2. Suppose the 2D Laplace's equation $\nabla^2u(x, y) = 0$ is solved using the Finite Element method on a square grid of size $\Delta x = \Delta y = \Delta$. Over each square element $\Omega_e$, the local basis functions are defined to be products of the linear 1D basis functions. For example, the local basis function for node 1 is expressed as $\phi_1^e(x, y) = \phi_{ij}^e(x, y) = X_i(x)Y_j(y)$ where $X_i(x)$ and $Y_j(y)$ are the 1D linear basis functions $\qquad X_i(x) = \frac{1}{\Delta}(x_{i+1} - x)$ $\qquad Y_j(y) = \frac{1}{\Delta}(y_{j+1} - y)$ Using Galerkin's method, construct the local stiffness matrix for an interior element $\Omega_e.$

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Q2: Two-point charges with $q_1 = 2 \times 10^{-5} C$ and $q_2 = -4 \times 10^{-5} C$ are located in free space at points with Cartesian coordinates $(1, 3, -1)$ and $(-3, 1, -2)$, respectively. Find (a) the electric field E at $(3, 1, -2)$ and (b) the force on a $8 \times 10^{-5} C$ charge located at that point. All distances are in meters. Q3: The finite sheet $0 < x < 2$, $0 < y < 2$ on the $z = 0$ plane has a charge density $\rho_s = xy(x^2 + y^2 + 25)^{3/2} nC/m^2$. Find: (See page 126 in the book, there is a similar example) (a) The total charge on the sheet (b) The electric field at $(5, 0, 0)$ (c) The force experienced by a -2mC charge located at $(5, 0, 0)$

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10. Let A = \{\frac{1}{n} | n \in \mathbb{N}\}, and B = \{-\frac{1}{n} | n \in \mathbb{N}\}. (a) What is the closure of A in the standard topology on $\mathbb{R}$? (b) What is the closure of B in the standard topology on $\mathbb{R}$? Recall that the lower limit topology $\mathbb{R}_\ell$ is generated by the basis \{ [a, b) | a, b \in \mathbb{R} \}. (c) What is the closure of A in $\mathbb{R}_\ell$? (d) What is the closure of B in $\mathbb{R}_\ell$?

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3. (20 pints) The SHA-1 cryptographic hash function produces a 160-bit hash for any given input. Since 160 bits is 20 bytes, there must be many files that have the same hash. Using the OpenSSL toolkit, you can compute the SHA-1 hash of any string: Answer the following questions: a. Given the length is 21 bytes, how many different files can you have? (For example, there are $2^8$ different files if the length of the file is 1 byte) b. Given a file A that is 21 bytes in length, at least how many other 21-byte files will produce the same SHA-1 hash as A? (Hints: how many pigeons? How many holes?)

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Feature extraction is key in Deep Computer Vision. What step in Convolutional Neural Networks (CNNs) is used to extract features from the 2D image matrix?

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melissa j.