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 3.2where t is1+12. 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 objectat t = 3 sec.

Answered: Image /qna-images/answer/8994f8d0-a3f3-4ace-9556-0ef3a3f12ac4.jpg

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.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

See similar textbooks

Similar questions

Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
Let f(x)=1x . Find a number c such that the average rate of change of the functionfon the interval (1,c) is 14
Let f(x)=1x . Find the number b such that the average rate of change off on the interval (2,b) is 110 .
For the following exercises, find the average rate of change of each function on the interval specified. y=1x on [1,3]
Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?