Numerade

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Find the midpoint of the line segment PQ. P($\sqrt{7}$, 0); Q(0, $-\sqrt{6}$)

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Categorize the following examples with the causes of extinction they correspond to. One choice will apply to two categories. Coastal degradation which threatens marine and freshwater ecosystems Conversion of biomes into agricultural land and urban development Exotic Species Habitat Loss Can be the result of accidental transport Can be influenced by horticulture and agriculture Increased with human colonization Usually linked to humans since most species have obstacles that prevent their relocation Poses a threat to organisms that have evolved together in one place Reset

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2. We have a transparent film of BaTiO$_3$ with a side of $l = 100 \text{ µm}$ and thickness $t = 0.1 \text{ µm}$, as shown below. Under Curie temperature, this ferroelectric material is poled in direction 3 and shows an anisotropic dielectric constant that is $\epsilon_\perp = 3800$ perpendicular to polar axis and $\epsilon_\parallel = 150$ parallel to polar axis. Assume that the electronic polarizability of each atom is $2 \times 10^{-36} \text{ Fcm}^2$ and lattice parameter is approximately $a = 0.4 \text{ nm}$ (assume the unit cell is almost cubic, $a \times a \times 1.09a$). (a) Calculate the refractive index and speed of visible light in this film. Explain the assumptions and approximations you make for this calculation with respect to real BaTiO$_3$ crystal structure. (b) If we place two electrodes on top and bottom of the film (colored area), estimate the capacitance at 100kHz. Find the loss tangent at this frequency knowing that the time constant associated with the polarization mechanism is 0.8 µs. Explain the model you use for frequency dependence of the dielectric constant.

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A company produces two types of bikes: a mountain bike and a road bike. It takes 3 hours to assemble a mountain bike and 4 hours to assemble a road bike. The total time availability is 60 hours. The company wants to produce at least twice as many mountain bikes as road bikes. The company makes a profit of $200 on road bikes and $100 on mountain bikes. Define and maximize the objective function considering the constraints.

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3. [2%] Consider the following network structure T L B E X E' M R K Answer the following questions with True/False and provide 1-2 sentence reasoning based on identified active path or no active paths (0.4%)- L \mid B - True or False ii. (0.4%)- L \mid T \mid E - True or False iii. (0.4%)- L \mid K \mid E - True or False iv. (0.4%)- T \mid K \mid \{E, X\} - True or False v. (0.4%)- B \mid M \mid K - True or False

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3 As / If $f(1) = 1$, $f'(1) = 3$ en / and $g(x) = \frac{f(x^2)}{f(x)}$, dan / then $g'(1) = $

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Q5. For the circuit (OPAMP is IDEAL) a) Derive the expression for the gain. b) Please comment on the positive feedback of the opamp circuit.

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The idea that taxes should be imposed to raise revenues but not change incentives is called a. the ability to pay principle b. the user pays principle c. the tax neutrality principle d. the Pigouvian tax principle

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Question 42 The following information applies to Baker Engineering Company for the last quarter. The company produced 42,000 units of product and direct labor hours were 250,000. Units produced were assigned the following standard costs: Direct materials (1,025,000 lbs @ $5 per lb) Direct labor (255,000 hrs @ $9 per hr) $5,125,000 $2,295,000 Actual costs incurred during the quarter were: Direct materials (1,000,000 lbs @ $5.25 per lb) $5,250,000 Direct labor (250,000 hrs @ $8.75 per hr) $2,187,500 The direct materials quantity variance is $45,000 Favorable $250,000 Favorable $125,000 Unfavorable $125,000 Favorable $250,000 Unfavorable

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Why do the IoT application services architectures under standardization all follow the RESTful paradigm?

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james g.