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What level of the fair value hierarchy includes quoted market prices in active markets for identical assets and liabilities? Multiple choice question. Level 2 Level 3 Level 1

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Problem 1. Let $ f: E \rightarrow E^{\prime} $ be a function between metric spaces. Then the following are equivalent: (a) $ f $ is continuous. (b) A condition about $ f $ doing the right thing to sequences. (c) A condition about preimages of open sets. Solution. Here are the precise conditions: (a) $ f $ is continuous. (b) $ f $ does the correct thing to convergent sequences, that is (and you have to add this part) If $ \lim _{n \rightarrow \infty} x_{n}=p $ in $ E $, then $ \lim _{n \rightarrow \infty} f\left(x_{n}\right)=f(p) $ in $ E^{\prime} $ ? (c) Preimages of open sets by $ f $ are open, that is (and this has to be included). If $ V \subseteq E^{\prime} $ is open in $ E^{\prime} $, then $ U=f^{-1}[V]:=\{x: f(x) \in V\} $ is open in $ E $.

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8. [-/2 Points] DETAILS MY NOTES LARLINALG8 6.1.043. For the linear transformation $T: \mathbb{R}^4 \rightarrow \mathbb{R}^3$, $T(\mathbf{v}) = A\mathbf{v}$, find $T(1, 0, 2, 3)$ and the preimage of $(0, 0, 0)$. $\begin{bmatrix} 0 & 1 & -2 & 3 \\ -1 & 4 & 5 & 0 \\ 0 & 1 & 3 & 3 \end{bmatrix}$ (a) $T(1, 0, 2, 3)$ (b) the preimage of $(0, 0, 0)$ (If the vector has an infinite number of solutions, give your answer in terms of the parameter $t$.)

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$ U $ is the set of colleges in a country. A is the set of colleges that have a football team. $ B $ is the set of colleges that have a business school. Describe $ A^{\prime} $ in words. Choose the correct answer below. A. $ A^{\prime} $ is the set of colleges in a country that do not have a football team. B. A' is the set of colleges in a country that have a football team and do not have a business school. C. A' is the set of colleges in a country that have a business school and do not have a football team. D. A' is the set of colleges in a country that do not have a business school.

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Evaluate $ \iiint_{E} 2 x z d V $ where $ E=\{(x, y, z) \mid 0 \leq x \leq 2, x \leq y \leq 2 x, 0<z<x+3 y\} $

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CRITICAL THINKING 1. How could the procedures used in this experiment be altered to measure bacteriostatic effects? 2. In the use-dilution test, a chemical is evaluated by its ability to kill $10^6$ to $10^7$ dried Clostridium sporogenes or Bacillus subtilis endospores. Why is this considered a stringent test?

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How many coulombs are supplied by a battery in 36 hours if it is supplying current at the rate of 1.7 A? (Round the final answer to two decimal places.) The charge supplied by the battery in 36 hours is:

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Part I Function: Design a logic circuit to perform the following function: Convert 4-bit sign/magnitude binary to 4-bit 2's complement number Requirement The completed project will include: 1. A brief description of the design; 2. A truth table; 3. Simplified Boolean expressions; 4. Two logic diagrams which are - The implementation in logic gates - The implementation in multiplexers

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[30 Points] Use CFL pumping lemma to prove that each of the following languages is not context-free: (a). $L_1 = \{a^n b^k a^n : n \ge k \ge 0\}$. (b). $L_2 = \{a^n b^k : 0 \le k \le 2^n\}$. (c). $L_3 = \{w \in \{a, b, c\}^* : n_a(w) \ge (n_b(w) - n_c(w))^2\}$.

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Compare and contrast at least 3 security features that support Windows and Linux operating systems.

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linda p.