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1. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. 120 80 40 0 (km/h) 10 20 30 t (seconds)

1. The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. 120 80 40 0 (km/h) 10 20 30 t (seconds)

Calculus: Early Transcendentals
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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5.1: #14, please.
**14.** The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. *Graph Explanation:* - The graph is a velocity-time graph showing the car’s velocity in km/h on the y-axis and time in seconds on the x-axis. - The curve starts at (0, 0) and increases steadily, reaching (30, 120). **15.** In a person infected with measles, the virus level \( N \) (measured in number of infected cells per mL of blood plasma) reaches a peak density at about \( t = 12 \) days (when a rash appears) and then decreases fairly rapidly as a result of immune response. The area under the graph of \( N(t) \) from \( t = 0 \) to \( t = 12 \) (as shown in the figure) is equal to the total amount of infection needed to develop symptoms (measured in density of infected cells × time). The function \( N \) has been modeled by the...
Transcribed Image Text:**14.** The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. *Graph Explanation:* - The graph is a velocity-time graph showing the car’s velocity in km/h on the y-axis and time in seconds on the x-axis. - The curve starts at (0, 0) and increases steadily, reaching (30, 120). **15.** In a person infected with measles, the virus level \( N \) (measured in number of infected cells per mL of blood plasma) reaches a peak density at about \( t = 12 \) days (when a rash appears) and then decreases fairly rapidly as a result of immune response. The area under the graph of \( N(t) \) from \( t = 0 \) to \( t = 12 \) (as shown in the figure) is equal to the total amount of infection needed to develop symptoms (measured in density of infected cells × time). The function \( N \) has been modeled by the...
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