1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30 second timeinterval. We take speedometer readings every five seconds and record them in the following table:Time (seconds)Velocity (m/sec)101520253023 29 3239454341Write a sentence, including units, stating the upper and lower estimates of the distance traveled over the first 30 seconds.

Answered: Image /qna-images/answer/9f454a85-410d-4612-aca3-ef7353977281.jpg

Answered: 1. Suppose the odometer on our car is…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Suppose that over the span of 5 days, there were 23 babies born in Syracuse, NY. Select the unit rate that gives the daily number of babies born in Syracuse. 4.6 babies per day about 0.217 babies per day 115 babies per day about 22 babies per day
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Below is the data for speed vs fuel consumption. The first set is speed(x); the second is fuel (y). if x = 10, y = 21 if x = 20 y =13, if x=30 y=10 if x = 40 y =8 if x = 50 y=7 if x =60 y = 5.9 if x = 70 y = 6.3 if x = 80 y = 6.95 if x = 90 y = 7.57 if x = 100 y = 8.27 if x = 110 y = 9.03 if x = 120 y = 9.87 if x = 130 y = 10.79 if x = 140 y = 11.77 and if x = 150 y =12.83. The equation of the LSR line is y^ = 11.058 - .015x The average of (x, y) are (80, 9.9) respectively. Find another point using the LSR equation, and graph the line
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2. Kenneth threw a basketball toward the hoop. At the time the ball left his hands it was travelling at a rate of 8 meters per second. a. How many meters above his hands was the ball after i. 1 second ii. 0.5 seconds iii. 1.5 seconds b. After 0.5 seconds, was the ball on its way up or down? Justify your answer. c. i. How many meters was the ball above his hands after 0.2 seconds? ii. If the ball left Kenneth's hands at a distance of 3 meters above the floor, how far from the floor will the ball be after 0.2 seconds? d. Given that the ball left Kenneth's hands 3 meters above the floor, if Kenneth misses the shot, how long will it take the ball to hit the floor? e. The ceiling of the gym has beams at a height of 15 meters above the floor. Can the ball possibly touch one of these beams? Justify your answer.
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FRQ #2: Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Windmills generate electricity by transferring energy from wind to a turbine. A study was conducted to examine the relationship between wind velocity in miles per hour (mph) and electricity production in amperes for one particular windmill. For the windmill, measurements were taken on twenty-five randomly selected days, and the computer output for the regression analysis for predicting electricity production based on wind velocity is given below. The regression model assumptions were checked and determined to be reasonable over the interval of wind speeds represented in the data, which were from 10 miles per hour to 40 miles per hour. a) Use the computer output above to determine the equation of the least squares regression line. Identify all variables used in the…
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