15. Who designates the process for transferring command?A. The Command Staff B. The jurisdiction or organization with primary responsibility for the incident C. The Section Chiefs D. The Incident Commander for previous operational period16. Which ICS functional area tracks resources, collects and analyzes information, and maintains documentation?A. Finance/Administration B. Logistics C. Planning D. Operations17. Which item is included in the NIMS Management Characteristic of Accountability?A. Check-In/Check-Out of incident personnel B. Conduct briefings as part of transfer of command C. Maintain an accurate inventory of resources D. Establish specific, measurable objectives18. How many NIMS Management Characteristics are there?A. 12 B. 13 C. 14 D. 1519. Check-in, Incident Action Planning, Personal Responsibility, and Resource Tracking are all necessary to ensure:A. Redundancy B. Sustainability C. Flexibility D. Accountability

1. Representar en un diagrama de Venn el conjunto \( [A-(A \cap B)]^{C} \). Considere a) \( A \) subconjunto de \( B \) b) \( B \) subconjunto de \( A \)

Consider the Solow growth model with government spending but without technological progress. Output \( Y \) is produced according to the production function \[ Y=F(K, L)=\sqrt[3]{K} \cdot \sqrt[3]{L^{2}} \] where \( K \) is the capital stock and \( L \) is the labour force. Labour force is equal to employment and total population and grows at the rate \( n \). Capital depreciates at the rate \( \delta \). The government spends ('consumes') resources without contributing to production or capital accumulation. Government purchases, \( G \), are financed with proportional income taxation. The government budget in per capita terms is balanced, \[ g=\tau y \] where \( y \equiv Y / L \) and \( g \equiv G / L \) are output and government purchases per capita, and \( \tau \in[0,1) \) denotes the proportional tax rate. Investment \( I \) and consumption \( C \) absorb, correspondingly, constant fractions \( s \) and \( (1-s) \) of disposable income. (a) [5 marks] Show that the function \( F(K, L) \) has constant returns to scale and diminishing marginal returns to capital.

Calcular la proyección del vector \( \vec{u}=(-3,2,1) \) sobre el vector \( \vec{v}=(-1,2,4) \) a. \( \vec{w}=\left(-\frac{11}{21}, \frac{22}{21},-\frac{44}{21}\right) \) b. \( \vec{w}=\left(-\frac{11}{21}, \frac{22}{21}, \frac{44}{21}\right) \) c. \( \vec{w}=\left(-\frac{11}{21},-\frac{22}{21}, \frac{44}{21}\right) \) d. \( \vec{w}=\left(\frac{11}{21}, \frac{22}{21},-\frac{44}{21}\right) \)

Q4: Given the matrix \( A=\left(\begin{array}{ccc}7 & -2 & 1 \\ -2 & 10 & -2 \\ 1 & -2 & 3\end{array}\right) \) Where \( X 1=\left(\begin{array}{c}0 \\ 0.5 \\ 1\end{array}\right) \quad, X 2=\left(\begin{array}{c}0 \\ 0.5 \\ 1\end{array}\right), X 3=\left(\begin{array}{c}1 \\ -2 \\ 1\end{array}\right) \) Find: 1) the rank of \( A \) ? 2) the eigen values and eigen vectors? 3) satisfy \( P^{\prime} / A P=\operatorname{Diag}\left(\begin{array}{lll}\lambda_{1} & \lambda_{2} & \lambda_{3}\end{array}\right) \) or \( N o \) ?

Decision variables in an OR model are : (a) Controllable (b) Uncontrollable (c) Parameters (d) Constants