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HW#4 1. Calculate the total resistance and the maximum percentage voltage drop of a 2-core, 12AWG cable that is 30m long, with a 220V power supply.

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3. Suppose we have a CT system with a parallel ray source. Let's assume that the detector system contains a scintillator that disperses light to the photodetectors in roughly a sinc pattern. That is, we can assume that the projection detected by the computer is the ideal projection convolved with a sinc in the form $g_\theta(R) * h(R)$, where $h(R) = \text{sinc}(\frac{R}{W})$. Suppose that the ideal projections, $g_\theta(R)$, will produce the ideal image $f(x, y)$, find the reconstructed image $\hat{f}(x, y)$ in terms of the ideal image $f(x, y)$. (Hint: Your final solution will be $\hat{f}(x, y) = f(x, y) * h'(R)$. You are supposed to find $h'(R)$ from $h(R)$ based on central sectional theorem.)

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Hw19-fundamental-theorem-of-line-integrals: Problem 7 Problem Value: 1 point(s). Problem Score: 0%. Attempts Remaining: 21 attempts. Help Entering Answers (1 point) Show that the line integral $\int_C 2xe^{-2y} dx + (8y - 2x^2e^{-2y}) dy$ is independent of path $\frac{\partial P}{\partial y} = \qquad \sum \qquad \frac{\partial Q}{\partial x} = \qquad \sum$ Evaluate the integral $\int_C 2xe^{-2y} dx + (8y - 2x^2e^{-2y}) dy = \qquad \sum$ where $C$ is any path from $(2, 0)$ to $(5, 1)$. If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort or after you have already solved the problem. There are no See Similar Examples on the Exams! Hint: Help Entering Answers Preview My Answers Submit Answers Show me another

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Figure 7-2 Price A B D P1 C F G P2 Demand Q1 Q2 Quantity Refer to Figure 7-2. When the price falls from P1 to P2, which area represents the increase in consumer surplus to new buyers entering the market? ABD ACG BCDF DFG

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3. Let P denote the plane with intercepts (2,0,0), (0,3,0), and (0,0,6). A rectangular box with faces parallel to the coordinate planes has one vertex at the origin and the opposite vertex at a point $(x, y, z)$ belonging to P. Write the volume of the box as a function of x and y.

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Which of the following is the correct sequence for the auditory pathway? A external auditory canal, tympanic membrane, auditory ossicles, oval window, cochlea and spiral organ B tympanic membrane, external auditory canal, auditory ossicles, cochlea and spiral organ, round window C auditory ossicles, tympanic membrane, cochlea and spiral organ, round window, oval window, external auditory canal D auricle, tympanic membrane, round window, cochlea and spiral organ, oval window E external auditory canal, tympanic membrane, auditory ossicles, internal auditory canal, spiral organ, oval window.

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1. Suppose a plant population grows by the rule of asexual reproduction. A plant of the population has "q" chance of surviving long enough to reproduce and if this happens then the pant will produce 1 or 2 offspring with equal opportunities. However, once this happens, the pant will no longer reproduce and finally die. Suppose the population starts with 4 plants. A. Determine the value of "q" to guarantee that in the end, the plant will become extinct! B. If "q" = 0.9, what is the probability that the plant will not go extinct? C. Simulate your answers for A and B up to 100 generations. Write a Python code for this, visualize, and discuss the results! 2. A person hitchhiking is approaching a major interstate border at a certain time and place. At that time it was known that the road passed by the vehicle according to the Poisson process at 200 cars per hour. A. If it is assumed that the car here will give you a ride with a probability of 0.05. How long is the expected waiting time of the passenger? B. What is the estimated number of cars that will pass the passenger before him picked up? C. Now suppose that 1 in 100 cars passing this point is a highway patrol car and if every patrol car stops to question/warn/ticket catches a passenger with a probability of 0.7, what is the probability that these passengers will get a ride before meeting the road patrol? D. Simulate the cases that occur for A, B, and C! You can decide what kind of simulation you want to display. Keep in mind you should explain your simulation and the correspondence of answers to A, B, and C

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When a calcite crystal is placed on top of the writing. The letters shift. • Explain why the shift occurs in the words observed through the calcite crystal. Discuss the effect of the shift when the crystals are rotated. What is the effect of crystal thickness on the shift? For those that took this practice in person, write the shifting measurement with the calcite of different thickness.

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HYOG https://www.sehyog.co.uk 11plusHELPclub Q. 13-16 A B C D E F G H I J yes 51pts 58pts 48pts 42pts 34pts 39pts 53pts 29pts no 5 stars and 3 diamonds are worth 75 points. 5 stars and 2 diamonds are worth 70 points. 3 How much are 4 stars and 1 diamond worth? How much are 2 diamonds and 2 stars worth? Are 4 diamonds and 1 star worth more than 40 points? Are 7 diamonds and 2 stars worth less than 70 points?

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Exercises: Find the area of the region enclosed by the given curves: a. y = x, y = 0, x = 1, x = 2 b. y = x, y = cos(x), x = 0, x = 1/6 c. y = x^2 - 4, y = -x - 2

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