Numerade

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(4 points) Suppose that the matrix A has the following eigenvalues and eigenvectors: \lambda _(1)=-5 i with vec(v)_(1)=[[-2],[-1 i]] and \lambda _(2)=-5-i with vec(v)_(2)=[[-2],[-1-i]] Write the general real solution for the linear system vec(r)^(')=Avec(r), in the following forms: A. In eigenvalue/eigenvector form: B. In fundamental matrix form: [[x(t)],[y(t)]]=[[,],[,◻]][[c_(1)],[c_(2)]] C. As two equations: (write "c1" and "c2" for c_(1) and c_(2) ) x(t)= y(t)= ◻ Note: If you are feeling adventurous you could use other eigenvectors like 4vec(v)_(1) or -3vec(v)_(2).

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Problem 1 Draw the graph that is represented by the following adjacency matrix: $\begin{bmatrix} 1 & 0 & 0 & 1 & 2 \\ 0 & 0 & 1 & 1 & 1 \\ 0 & 0 & 0 & 1 & 0 \\ 1 & 1 & 0 & 0 & 3 \\ 2 & 1 & 0 & 0 & 1 \end{bmatrix}$ Problem 2 How many nonisomorphic subgraphs does $K_3$ have? Draw them.

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Starting from rest, D.O.G. the dog walks to the right on the platform of a sled, which is on level, slippery ice. Oskar is standing at rest, off to the side, observing this motion. Oskar notices that as D.O.G walks to the right, the sled moves to the left. The 30 kg dog and the 20 kg sled are initially at rest. The dog then begins to move to the right and Oskar measures the dog's velocity as 2 m/s in the positive x-direction. What velocity will Oskar measure for the sled during the dog's motion?

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You put half of your money ins stock portfolio with an expected returnof 14% and standard deviation of 12%

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ctions - Google Cnrome rHomework.aspx?homeworkld=680897843\&questionld=15\&flushed =false\&cld=7963294\&centerwin=yes 2024] Christian Ley $ 10 / 23 / 2412: 15 $ PM Question 15, 4.1.67 HW Score: 52\%, 10.4 of 20 points Points: 0 of 1 Save The formula $ \mathrm{S}=\mathrm{C}(1+r)^{t} $ models inflation, where $ \mathrm{C}= $ the value today, $ \mathrm{r}= $ the annual inflation rate (in decimal form), and $ \mathrm{S}= $ the inflated value $ t $ years from now. If the inflation rate is $ 2 \% $, how much will a house now worth $ \$ 139,000 $ be worth in 14 years? Round your answer to the nearest dollar. The house will be worth $ \$ $ $ \square $ . (Round to the nearest dollar as needed.) ew an example Textbook Clear all Check answer Search

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Resting membrane ion concentration favors the diffusion of _______________ ions into the cell. potassium sodium chloride calcium

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Executive control is likely engaged in all of the following situations EXCEPT when a person: A. takes steps to avoid a habitual response. B. is working on a highly automated task. C. needs to shift a goal or strategy. D. chooses to focus on a specific task and avoid distractions or making an incorrect decision.

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all of the following are do's and don'ts of effective emotional Expression of Anger EXcept:

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keyboard access key is assigned to a button using the button control's __________ property.

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i. What is the relationship between the two structures in each choice below? (constitutional isomers, identical compounds, stereoisomers, different conformations of the same compound etc.) (6 points) A. B c. ii. Sight down the C-2-C-3 bond, and draw the Newman projection formulas for the eclipsed and staggered conformations of 1,2-dichloroethane. Indicate gauche and anti-conformations. Which one(s) is(are) the most stable one(s), which one(s) is(are) the least stable one(s)? (10 points) 2. i. What is the relationship between the two structures in each choice below? (constitutional isomers, identical compounds, stereoisomers,different conformations of the same compound etc.)(6 points) A. H OH H OH CH CH3 H B. H CH CH3 H3C. H H H HC and H CH3 HC H CH3 C. ii. Sight down the C-2 - C-3 bond, and draw the Newman projection formulas for the eclipsed and staggered conformations of 1,2-dichloroethane. Indicate gauche and anti-conformations.Which one(s) is(are) the most stable one(s), which one(s) is(are) the least stable one(s)?10 points

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