(b) Use the midpoint approximation M4 to approximate the area under f(x) = 3x – 2 on [1, 5). Show your work below.

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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(b) Use the midpoint approximation M4 to approximate the area under f(x) = 3x – 2 on [1,5].
Show your work below.
(c) What do you notice about your exact answer in (a) and your mid-point approximation in (b)?
Why do you think this is true? Use pictures, etc, to explain your observations.
Transcribed Image Text:(b) Use the midpoint approximation M4 to approximate the area under f(x) = 3x – 2 on [1,5]. Show your work below. (c) What do you notice about your exact answer in (a) and your mid-point approximation in (b)? Why do you think this is true? Use pictures, etc, to explain your observations.
2. Consider the function f(x) = 3x – 2 on [1,5].
(a) By interpreting
of this function and draw the region described by the integral. Use the Fundamental Theorem of
Calculus to compute this integral.
3x – 2 dx as net area, compute the value of this integral. Generate a graph
(b) Use the midpoint approximation Mạ to approximate the area under f(x) = 3x – 2 on [1, 5).
Show your work below.
Transcribed Image Text:2. Consider the function f(x) = 3x – 2 on [1,5]. (a) By interpreting of this function and draw the region described by the integral. Use the Fundamental Theorem of Calculus to compute this integral. 3x – 2 dx as net area, compute the value of this integral. Generate a graph (b) Use the midpoint approximation Mạ to approximate the area under f(x) = 3x – 2 on [1, 5). Show your work below.
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