3.4, 4.1) 1. Let f(x)=x²+2x+10. (a) Find the average rate of change of f with respect to x on the interval [3, 3+h). (b) Using the answer in (a), find the instantaneous rate of change of f with respect to x at 3. 2 where t is 2. The position (in meters) of an object moving on a straight line is given by s = f(t)=- t+1 measured in seconds. (a) Find the average velocity of the object over the time interval [3, 8]. (b) Use the definition of the instantaneous velocity to find the instantaneous velocity of the object at t = 3 sec.
3.4, 4.1) 1. Let f(x)=x²+2x+10. (a) Find the average rate of change of f with respect to x on the interval [3, 3+h). (b) Using the answer in (a), find the instantaneous rate of change of f with respect to x at 3. 2 where t is 2. The position (in meters) of an object moving on a straight line is given by s = f(t)=- t+1 measured in seconds. (a) Find the average velocity of the object over the time interval [3, 8]. (b) Use the definition of the instantaneous velocity to find the instantaneous velocity of the object at t = 3 sec.
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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Please answer the following
![udy all of the materials given in the class and practice the homework
(3.2, 3.3, 3.4, 4.1)
1. Let f(x)=x²+2x+10.
(a) Find the average rate of change of f with respect to x on the interval [3, 3+h].
(b) Using the answer in (a), find the instantaneous rate of change of f with respect to x at 3.
2
where t is
1+1
2. The position (in meters) of an object moving on a straight line is given by s = f(t)=-
measured in seconds.
(a) Find the average velocity of the object over the time interval [3, 8].
(b) Use the definition of the instantaneous velocity to find the instantaneous velocity of the object
at t = 3 sec.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9c810969-9e56-4989-b419-10b2b0f508fc%2F8994f8d0-a3f3-4ace-9556-0ef3a3f12ac4%2Fkc8gurw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:udy all of the materials given in the class and practice the homework
(3.2, 3.3, 3.4, 4.1)
1. Let f(x)=x²+2x+10.
(a) Find the average rate of change of f with respect to x on the interval [3, 3+h].
(b) Using the answer in (a), find the instantaneous rate of change of f with respect to x at 3.
2
where t is
1+1
2. The position (in meters) of an object moving on a straight line is given by s = f(t)=-
measured in seconds.
(a) Find the average velocity of the object over the time interval [3, 8].
(b) Use the definition of the instantaneous velocity to find the instantaneous velocity of the object
at t = 3 sec.
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