Estimate the instantaneous rate of change of f(x) = 3x² +5 at the point: x = 1 In other words, choose x-values that are getting closer and closer to 1 and compute the slope of the secant lines at each value. Then, use the trend/pattern you see to estimate the slope of the tangent line. Your answer should be accurate to at least 2 decimal places.
Estimate the instantaneous rate of change of f(x) = 3x² +5 at the point: x = 1 In other words, choose x-values that are getting closer and closer to 1 and compute the slope of the secant lines at each value. Then, use the trend/pattern you see to estimate the slope of the tangent line. Your answer should be accurate to at least 2 decimal places.
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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Transcribed Image Text:Estimate the instantaneous rate of change of f(x) = 3x² + 5 at the point: x = 1
In other words, choose x-values that are getting closer and closer to 1 and compute the slope of the secant
lines at each value. Then, use the trend/pattern you see to estimate the slope of the tangent line.
Your answer should be accurate to at least 2 decimal places.
![For each value below, enter the number correct to four decimal places.
Suppose an arrow is shot upward on the moon with a velocity of 66 m/s, then its height in meters after t
seconds is given by h(t) = 66t – 0.83t². Find the average velocity over the given time intervals.
[7,8]:
[7, 7.5]:
[7, 7.1]:
[7, 7.01]:
[7, 7.001]:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff392619e-43f0-4532-83aa-34cf3441acc5%2Facf3c18c-bc77-46f2-8c65-52545a8880a7%2Fihwg6ty_processed.png&w=3840&q=75)
Transcribed Image Text:For each value below, enter the number correct to four decimal places.
Suppose an arrow is shot upward on the moon with a velocity of 66 m/s, then its height in meters after t
seconds is given by h(t) = 66t – 0.83t². Find the average velocity over the given time intervals.
[7,8]:
[7, 7.5]:
[7, 7.1]:
[7, 7.01]:
[7, 7.001]:
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