6. What is the unit of rate of change in this graph?ooth 2012 toDistance (m)a.6540 1m2 34Time (s)56bs/mC.m/sd. m/s²ed points on the graph.ame

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Answered: -6. What is the unit of rate of change…

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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Calculate the rate of change between the points labeled on the graph below. (-2, 10) 10 (0, 2) -5 O - 10 10
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2. Use the method shown in this lesson. For the function 1 X-5 a. Find the Average Rate of Change b. Find the Instantaneous Rate of Change at * = -3 Be sure to show and explain all work. on the interval [0,4]
Answer 8.
15:
1. The radius r of a circle is increasing at a rate of 5 inches per minute. Find the rate of change of the area when r = 6 inches and r = 21 inches. (a) r = 6 inches_________in2/min r = 21 inches.___________in2/min 2. A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equations C = 15,000 + 1.95x and R = 500x − x2 25 where x is in the number of toys produced in 1 week. Production during one particular week is 5000 toys and is increasing at a rate of 350 toys per week. Find the rate at which the cost, revenue, and profit are changing. a) cost dC dt = dollars/week (b) revenue dR dt = dollars/week (c) profit dP dt = dollars/week 4. The profit P from selling x units of a product is given by P = 560x − 0.2x2. The sales are increasing at a rate of 6 units per day. Find the rate of change of the profit (in dollars per day) when x = 500 units and x = 800…
t time (in minutes) 0 1 3 6 h height (in inches) 1.0 1.3 1.7 2.2 Rate of Change Change in Height Change in Time ? ? ? ? 9 2.6 How would you best describe how the changes in Height are Changing over Time? Hint: Calculate the rates of change to determine how they are changing over time.
Question Beginning 156 miles directly east of the city of Uniontown, a truck travels due south. If the truck is travelling at a speed of 31 miles per hour, determine the rate of change of the distance between Uniontown and the truck when the truck has been travelling for 81 miles. (Do not include units in your answer, and round to the nearest tenth.)
Please complete the attached question in handwriting. Show all steps. 29
The air pressure in the cabin of fighter jet decreases as the plane ascends. Air Pressure in pounds per Altitude in 10,000 of feet square inch 1 10.200 2 6.375 3.984 4 2.490 A. The change is linear. The constant rate of change is about -3.825 . B. The change is linear. The constant rate of change is 0.0003825. C. The change is exponential. The common ratio is about 0.625. D. The change is exponential. The common ratio is about 1.6. Interpretation: A. The air pressure decreases by about 37.5% every 10,000 feet of altitude. B. The air pressure decreases 3.825 pounds per square inch per 10,000 feet of altitude. O C. The air pressure increases by about 62.5% every 10,000 feet of altitude. D. The air pressure decreases 0.625 pounds per square inch per 10,000 feet of altitude.
Rate time(sec) dist(ft)

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-6. What is the unit of rate of change in this graph? oth Distance (m) a. 6 5 0 1 2 3 4 Time (s) m 5 6 b. s/m C. m/s d. m/s²