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An economics Would be a resource used to produce good and services

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5. Example 1: Generate the equation of the following polynomial functions. X Y 1st 2nd 3rd 4th degree 4 1 -1 22 94 120 48 Fb=an! 2 21 116 214 168 48=a(4!) 3 137 336 382 216 48=24a 4 467 712 598 264 5 1179 1310 862 6 2489 2172 7 4661

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Consider the region R bounded by $x = \sqrt{y}$ and $x = \frac{y}{2}$. Which of the following is the correct integral to find the volume obtained by rotating the region R about the line $y = -1$ using the method of shells? $\int_0^2 2\pi (y+1) (\frac{y}{2} - \sqrt{y}) dy$ $\int_0^4 2\pi (y+1) (\sqrt{y} - \frac{y}{2}) dy$ $\int_0^2 2\pi (y+1) (\sqrt{y} - \frac{y}{2}) dy$ $\int_0^4 2\pi (y-1) (\sqrt{y} - \frac{y}{2}) dy$ $\int_0^4 2\pi (y+1) (\frac{y}{2} - \sqrt{y}) dy$

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Through the people's c Marcos was toppled down. Activity 1;Directions: Read each item carefully. Write TRUE if the statement is correct and FALSE if it's erroneous. Write your answer in your notebook. $ \qquad $ 1. In democracy, elected officials stay in power for as long as they want. $ \qquad $ 2. Just being able to vote does not make a country democratic. $ \qquad $ 3. Political decisions shall stem from the will of the majority, expressed by means of appointment. $ \qquad $ 4. Democracy promotes equality. $ \qquad $ 5. Democratic practice involves transparency, trust, and confidence. Activity 2 : What is the concept of democracy? When you hear the word democracy, what comes into your mind? Write at least four words that you may associate with the word DEMOCRACY on your notebook. Performance Task 1 : Paste picture of your personal experience of democratic practice. Paste it in your notebook Assessment:General Directions: Read and understand each item carefully. A. Multiple Choice: Write the letter of the correct answer in your notebook. 1. It is an electoral process for approving or rejecting a change or amendment in the Constitution. A. Public assembly and consultation B. Plebiscite C. Majority rule D. Suffrage 2. Allows people to engage in business and innovations. A. democratic practice B. importance of participation in democracy C. participatory democracy D. representative democracy 3. The sovereign power remains on the citizens but its exercise is delegated to the representatives they elect. A. democratic practice B. importance of participation in democracy C. participatory democracy D. representative democracy 4. One of the most popular demonstrations of this practice was the EDSA People Power of 1986. A. democratic practice B. importance of participation in democracy C. participatory democratic D. representative democracy 5. Rina is 18 years old. This coming election, she will already be eligible to cast her votes. What democratic practice is she going to enjoy? A. Public assembly and consultation B. Plebiscite C. Majority rule D. Suffrage B. TRUE or FALSE Write TRUE if the statement is correct; FALSE if it's erroneous. Write your answer in your notebook. 6. Democracy provides equality and admission to opportunities for selected citizen in the government. 7. Being allowed to participate and contribute ideas in any ways is an example of an undemocratic practice. 8. In a democratic country, problems in the society will be easily solved if there would be no manipulation and abuses by an individual or group. 9. Participatory democracy is quite similar with representative democracy which also encourages a more active and wider involvement of citizens. 10. Choosing who or what we want to become is a democratic practice.

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The full load amps (FLA) on the primary side of a 3-phase 125 kVA transformer with a 480V primary and a 208V secondary is calculated as follows: FLA = kVA / (1.732 x V) FLA = 125 / (1.732 x 480) FLA = 125 / 831.36 FLA ≈ 150.36 amps Therefore, the full load amps (FLA) on the primary side of the transformer is approximately 150.36 amps.

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1. Estimate the hourly and totalized net generation of a PTC-type CSP plant in Cairo, Egypt on summer solstice. Use the TMY data and plant specifications given below ($\Phi = T_{HTF} - T_{Ambient}$). Capacity = 100 $MW_e$ $N_{Loops}$ = 200 $N_{PTC}$ per Loop = 4 Cleanliness = 91% Availability = 98% $\eta_{Optical}$ = 78% $\eta_{Gross \rightarrow Net}$ = 89% $T_{Supply}$ = 297 $^\circ C$ $T_{Return}$ = 395 $^\circ C$ $\Delta t$ = 1 h TZ = 2 h $\beta$ = 0 $^\circ$ $a_w$ = 0 $^\circ$ $I_{local}$ = 31.23 $^\circ$ L = 30.06 $^\circ$ $L_{PTC}$ = 100 m FL = 1.71 m AW = 5.75 m RD = 17.2 m $q_{SCA Loss}$ = (10/60) $\cdot \Phi$ - 35 $q_{Pipe Loss}$ = (1/60) $\cdot \Phi$ - 2.3 $\eta_{Cycle}$ = LN (1 + $q_{SF}$) / 14

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2b. Rank the following materials in order of increasing aspect ratio (Table 1). 2c. Repeat your calculation by using the surface area to volume ratio for each of the fillers and suggest the approach that more accurately describes the reinforcement efficiency of the fillers. Table 1. Dimensions of fillers Filler Length/width Diameter/Thickness Nanoclay 200 nm 1 nm Graphene 2 ?m 0.345 nm Graphite 10 cm 8 ?m fibers Glass fibers 10 cm 80 ?m Carbon 500 nm 500 nm black Short glass 0.3 mm 80 ?m fibers

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Title: Sampling Distributions and Population Standard Deviation The distribution of the sample means has a normal distribution. (2 points) a) all the time b) for a small sample 2. This indicates that you (2 points) a) are 1.5 points above the class average. b) are 1.5 percent above the class average. c) have a score that is 1.5 times the class average. d) are 1.5 standard deviations above the class average. If you draw 20 samples of size n=50 from the population, how many sample means will you expect to calculate to construct the sampling distribution of the sample means? (2 points) a) 100 b) 20 c) 50 4. Suppose that a sampling distribution of sample means with the sample size = 100 has a mean of 20 and a variance of 25, find the standard deviation of the population. Show your work clearly and select one of the following: (3 points) a) 0.25 b) 0.5 c) 20 d) 50

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2. Find two low-cutoff frequencies by the input coupling capacitor and the output coupling capacitor shown in Fig.2. If 2N7000 has $g_m$ of 16.5mS and internal capacitance between gate and drain of 5.0pF, find two high-cutoff frequencies. Draw ideal Bode plot with these 4 cutoff frequencies. Fig.2

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2. The entropy of a discrete random variable X is defined as (use base e for all log operations unless specified otherwise): $H(X) = - \sum_{x \in X} P(x) \log P(x)$ (a) Compute the entropy of the distribution $P(x) = \text{Multinoulli}([0.2, 0.3, 0.5])$. [3 pts] (b) Compute the entropy of the uniform distribution $P(x) = \frac{1}{m} \forall x \in [1, m]$. [3 pts] (c) Consider the entropy of the joint distribution P(X, Y): $H(X, Y) = - \sum_{x \in X} \sum_{y \in Y} P(x, y) \log P(x, y)$ How does this entropy relate to H(X) and H(Y), (i.e. the entropies of the marginal distributions) when X and Y are independent? [4 pts]

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