25. The accompanying graph shows the total distance s traveled by a bicyclist after t hours. 40 30 20 10 2 3 Elapsed time (hr) a. Estimate the bicyclist's average speed over the time intervals [0, 1], [1, 2.5], and [2.5, 3.5]. b. Estimate the bicyclist's instantaneous speed at the times t = 2, t = 2, and t = 3. c. Estimate the bicyclist's maximum speed and the specific time at which it occurs. Distance traveled (mi)
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- Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.10.If the H.P. required to propel a steamer varies as the cube ofvelocity and square of the length. Prove that a 3% increase in velocity and 4% increase in length will require an increase of about 17% in H.PConsider that the relation between the cost of production, the lot of size production and the number of labours if for a particular point the slop is change to another point where Xp=26 for X1, Xp=22 for X2, find the t-test when B2=2 Y: 10 , 20, 30, 40, 50 ,60 ,70 ,80, 90 ,100 X1: 5, 10, 15 ,20 ,25 ,30 ,35, 40 ,45 ,50 X2: 4 ,8, 12 ,16 ,20, 24 ,28 ,32, 36 ,40
- Suppose that Evelyn’s utility function is given as: U(x,y) = xyEvelyn has an income of Php 100. For simplicity purposes, the prices of both goods are equal to one. Suppose that because of President Beybiem’s failed policy to control prices, the price of good x increases to Php 2.00. To do damage control of the failed policy, the Department of Social Welfare and Social work was tasked to calculate how much should the people, including Evelyn, be compensated. (Hint: Use Evelyn’s expenditure function E(p,U).Suppose vehicles are moving at 72 kph (kilometers per hour). Each car carries an average of 1.5 people, and all are carefully keeping a 2- second following distance (getting no closer than the distance a car travels in 2 seconds) on a three-lane highway. a. How far between vehicles? b. How many vehicles per kilometer? c. How many people will pass a given point in an hour? d. If commuter number oscillates between this maximum (at 8:00 A.M.) and a minimum that is one third as large (at 8:00 P.M.) on a 24-hour cycle, give a formula for the number of people passing the given point as a function of time of dayThe 2011 Tōhoku, Japan earthquake is the newest deadliest earthquake. The power was equal as about 600.000.000 Hiroshima bomb. After the 9.0 magnitude earthquake, 900 aftershocks emerged and around 13,705 casualties had to lose their lives during the course. Because the earthquake so powerful, it has shifted our earth axis by 25 cm. 5. Based on this information, arrive to the conclusion on how much stronger was this earthquake in comparison with 2017 Mexico earthquake. Show work.
- Two ships are sailing in the fog and being tracked on a small screen. At some point in time, t=0, the first ship, the Andy Daria (AD), is at a point 900 mm from the bottom left corner of the screen along the lower edge. The other ship, the Helinski (H), is located at a point 100 mm above the lower left corner along the left edge. One minute later, the AD has moved to a location that is 3 mm west and 2 mm north of the previous location. The H has moved 4 mm east and 1 mm north. Assume that they will continue to move at a constant speed on their respective linear courses. Create an illustration of the situation. Create a parameterization for each of the vessels. Will the two ships collide if they maintain their speeds and directions? If so, when and where? Determine the minimum distance between the ships and the time at which they are the closest.What is the required workstation cycle time and efficiency of the line balance? Use the cycle time to to balance the line using the largest number of tasks found in the chart to be filled in. Leave no cells blank - be certain to enter "0" wherever required.The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups.25-year-old drivers areinvolved in 4.1 fatal crashes per 100 million miles driven. Thus, when a group of 25-year-old Americans have driven a total of 100 million miles, approximately 4 have been in accidents in which someone died.The number of fatal vehicle crashes per 100 million miles, y, for drivers of age x can be modeled by the formulay = 0.013x2 - 1.19x + 28.24.Use the formula above and the bar graph.What age groups are expected to be involved in 10 fatal crashes per 100 million miles driven? How well does the formula model the trend in the actual data shown by the bar graph?
- Consider that the relation between the cost of production, the lot of size production and the number of labours if for a particular point the slop is change to another point where Xp=26 for X1, Xp=22 for X2, find the estimate values of these parameters Y: 10 , 20, 30, 40, 50 ,60 ,70 ,80, 90 ,100 X1: 5, 10, 15 ,20 ,25 ,30 ,35, 40 ,45 ,50 X2: 4 ,8, 12 ,16 ,20, 24 ,28 ,32, 36 ,40Assume the bucket is leaking.It starts with 5 liters of water (5 kg) and leaks at a constant rate.It finishes draining just as it reaches the top. How much workwas spent lifting the water alone? (Hint: Do not include therope and bucket, and find the proportion of water left at elevationx m.)The maximum value in this range is 8.48.4 girls. (Round to one decimal place as needed.) The minimum value in this range is 1.71.7 girls. (Round to one decimal place as needed.) Based on the result, is 1 girl in 10 births a significantly low number of girls? Explain. A. Yes, 1 girl is a significantly low number of girls, because 1 girl is below the range of values that are not significant. B. No, 1 girl is not a significantly low number of girls, because 1 girl is within the range of values that are not significant. C. Yes, 1 girl is a significantly low number of girls, because 1 girl is above the range of values that are not significant. D. Not enough information is given.