Numerade

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Suppose $n = 2$, $p = (2, 1)$, and $y > 0$. Find the bundles that maximize the utility functions below subject to the consumer's budget constraint $px \leq y$. (i) $u(x) = x_1 x_2$; (ii) $u(x) = \min(2x_1, x_2)$.

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Answer this question: How does Head Start’s focus on using a comprehensive, two generation approach make it different from traditional child care or early education programs?

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Change the temperature to 500° C (773 K). How many liquid elements are there in the alkali metals at this specific temperature?

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Question 16 8 pts When one categorizes a protein's structural classification, they sort different proteins primarily based upon by their Osecondary structure content and arrangement. Oamino acid sequence. Oevolutionary relationships. Ofunction. Osubunit content and arrangement.

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[7] A 3x3 matrix is given as $A = \begin{pmatrix} 1 & 0 & a \ 0 & -1 & 0 \ i & 0 & 1 \end{pmatrix}$ where a is a complex parameter. (1) Give eigenvalues of A with a. (2) Write down A*, the Hermitian conjugate matrix (adjoint matrix) of A. Use $\bar{a}$ for the complex conjugate of a. (3) Discuss the condition of a that A is a normal matrix. (4) Discuss the condition of a that A cannot be diagonalized. (5) Give the minimal polynomial in the case that A cannot be diagonalized. (6) Give the Jordan normal form $J$ in the case that A cannot be diagonalized. (No need to present $P^{-1}AP = J$. Just showing J is OK.)

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How much attenuation would be obtained from a piston-type attenuator if the cylinder diameter is 3 cm and the distance between the loops is 9 cm?

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BLACK-AND-WHITE FLYERS 1000 900 800 700 600 500 400 300 200 100 0 0 25 50 75 100 125 150 175 200 225 250 COLOR FLYERS Budget Constraint Optimum

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Which area is similar for all IgG antibodies? B and D C and D B and C A and C A and B

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The design of a retractable aircraft landing gear support can be represented by a planar four-bar linkage A*AB*B as shown in Figure P1(a). Link A*B* is the fuselage, link A*A is the input link to lower / retract the landing gear, and link B*B is the main strut. At the down position (position 1), link B*B is set to be vertical and jointed to link AB. Also, link AB is collinearly jointed to link A*A to support the aircraft. At the retracting position (position 2), both link A*A and link B*B are in horizontal position, as shown in Figure P1(b). Based on the geometric information provided in the figure, determine the lengths of link A*A and link AB. (Hint: the horizontal distance between the two fixed joints A* and B* can be calculated based on the given vertical distances 0.5m and 1m, and the angle 30°.)

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2.64 The force \textbf{F} = (0.6\textbf{i} + 0.8\textbf{j}) kN is applied to the frame at the point D(0, 0, $z_D$). If the moment of \textbf{F} about the axis BC is zero, determine the coordinate $z_D$.

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bradley h.