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Home Question Bank Other Archive 2024 November 08

Other Questions from Nov 08,2024

Browse the Other Q&A Archive for Nov 08,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Describe the transformation that occurs on a graph when changing an equation from \( f(x)=-|x| \) to \( f(x)=-|x|+4 \). (1 point) The original function shifts vertically down four units. The original function shifts horizontally to the left four units. The original function shifts vertically up four units. The original function shifts horizontally to the right four units. Which level of education has the highest unemployment rate? Master's Gegree Doctorate Degree Associate Degree Bachelor's Degree Which subset(s) of numbers does \( 8 \frac{2}{3} \) belong to? real and rational numbers whole and rational numbers integers and real numbers A Presidential candidate needs 270 electoral voters to ___ the election Tie Win Lose Cheat (11,30) Alfred was studying the mass of several planets. He found that Pluto's 282) mass is \( 4.960 \times 10^{27} \mathrm{~kg} \), Neptune's is \( 1.028 \times 10^{27} \mathrm{~kg} \), Jupiter's is \( 1.894 \times 10^{30} \mathrm{~kg} \), and Earth's is \( 5.976 \times 10^{27} \mathrm{~kg} \). Order the planets from greatest to least mass. 3. (4,0) Seja \( A: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2} \) dada por \( A(x, y)=(4 x+12 y, 12 x-3 y) \) a. Calcule o polinômio característico b. Exiba os autovalores de \( A \) c. Calcule os autovetores associados aos autovalores encontrados em b) d. Exiba os auto espaços associados aos autovalores. 4. (2,0) Verifique se \( T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{3} \) dada por \( T:(x, y, z)=(x+z, y+z, x+y+2 z) \) é diagonalizável. 3. (4,0) Seja \( A: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2} \) dada por \( A(x, y)=(4 x+12 y, 12 x-3 y) \) a. Calcule o polinômio característico b. Exiba os autovalores de \( A \) c. Calcule os autovetores associados aos autovalores encontrados em b) d. Exiba os auto espaços associados aos autovalores. 4. (2,0) Verifique se \( T: \mathbb{R}^{3} \rightarrow \mathbb{R}^{3} \) dada por \( T:(x, y, z)=(x+z, y+z, x+y+2 z) \) é diagonalizável. 1. Un programa social es: a. Una disposición jurídica que implica el mejoramiento de la sociedad través de las instituciones b. Una iniciativa destinada a mejorar las condiciones de vida de la poblacić c. El trabajo que se realiza para garantizar los derechos sociales 1. (2,0 pontos) Mostre que a aplicação \( A: \mathbb{R}^{3} \rightarrow \mathbb{R}^{3}, \quad \) dada por \[ A(x, y, z)=(2 x-y+3 z, 4 y+2 z, 2 x-y) \] é uma transformação linear. 2. (2,0) Seja \( A: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}, A(x, y, z)=(x-2 y, 2 x+3 y-z) \). Determine a representação matricial de \( A \) nas bases canônicas de \( \mathbb{R}^{3} \mathrm{e} \mathbb{R}^{2} \). 1. (2,0 pontos) Mostre que a aplicação \( A: \mathbb{R}^{3} \rightarrow \mathbb{R}^{3} \), dada por \[ A(x, y, z)=(2 x-y+3 z, 4 y+2 z, 2 x-y) \] é uma transformação linear. 2. (2,0) Seja \( A: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2}, A(x, y, z)=(x-2 y, 2 x+3 y-z) \). Determine a representação matricial de \( A \) nas bases canônicas de \( \mathbb{R}^{3} \) e \( \mathbb{R}^{2} \).
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