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Question 1 A blackbody with emittance emits an intensity of $I = 0.05 \text{ MW/m}^2$. The spectrum peaks at photon energy 0.5 eV. What is the temperature (in units of K) and emittance of the blackbody? [25 marks]

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P flat curve DL Q $Q_1$ $Q_2$ for luxury pp elastic demand penetration price P stipen stition demand curve DN Q $Q_1$ $Q_2$ necessary inelastic demand $E_D = \frac{\% \Delta in QD}{\% \Delta in P}$ $= \frac{0}{1}$ $= 0$ P $P_2$ $P_1$ Q $Q_1$

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Information Flag question The variables involved in this investigation, regarding the potential implications of Netflix's strategic decision on its number of subscribers, through the analysis of university students, are: - Willingness to pay (WP) for this streaming service, given their - available Income, - current Netflix usage (NetflixU) of the platform, - student GPA and Age. These descriptives were computed for 22 randomly selected students: \begin{tabular}{lrrrr} \hline & WP & Income & NetflixU & GPA \\ \hline\( N \) & 22 & 22 & 22 & 22 \\ Mean & 8.90 & 530 & 0.409 & 14.6 \\ Variance & 27.8 & 285001 & 0.253 & 8.69 \\ Minimum & 0.00 & 36.7 & 0 & 10.0 \\ Maximum & 19.3 & 1857 & 1 & 19.0 \\ \hline \end{tabular} WP and GPA are Normally distributed variables. NetflixU is a Bernoulli variable: 1 if the student consumes more than 10 hours of Netflix weekly (more active user) and 0 if not Age is a categorical variable and discriminates young, middle and old students. Suggestion: keep this page active in a tab (duplicate it right now) so that you can easily access to these descriptives during the Exam questions, when needed.

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Supply and demand both tend to be more elastic in the long run and more inelastic in the short run. Select one: O True O False

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Consider the following two vectors: ⃗u = (1, 2, 3) and ⃗v = (1, 1, 0). Which of the following vectors forms a basis for R3 when combined with ⃗u and ⃗v? (a) (2, 3, 3) (b) (3, 4, 3) (c) (2, 3, 4)

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Which part of the grain typically remains after processing? endosperm fiber germ bran

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5. Consider the functional defined by \begin{equation*} J(y) = \int_{-1}^{1} x^4 y'^2 dx. \end{equation*} (a) Show that no extremals in $C^2[-1, 1]$ exist which satisfy the boundary conditions $y(-1) = -1$, $y(1) = 1$. (b) Without resorting to the Euler-Lagrange equation, prove that $J$ can- not have a local minimum in the set $S = \{y \in C^2[-1, 1] : y(-1) = -1 \text{ and } y(1) = 1\}$.

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Text: Identify the roots of the equation. State the multiplicity of each root. x^3 - 12x^2 + 48x - 64

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Assume that a portion of the tags in a cache looks like the table below. Which of the following addresses are contained in the cache? Tag (binary) Line number (binary) Addresses wi/block 00 01 10 11 0101 0011 1000 1110 1110 10 1110 1101 1000 1110 1110 11 1010 1011 1000 1110 1111 00 0110 1011 1000 1110 1111 01 1011 0101 1000 1110 1111 10 1111 0001 1000 1110 1111 11 Select one: a. AB8EF3$_{16}$ b. E29EFE$_{16}$ c. AF9EE3$_{16}$ d. AF9EF3$_{16}$ e. AB8EE3$_{16}$ f. 438EF8$_{16}$

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Consider the following grammer E->E+T|T, T->T*F|F, F->(E)|id (a) Construct the augmented grammer (b) Construct the closure and the finite automata (c) Using LR (0) parsing method construct the parsing table for the above grammer.

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