Let f(x) = 4x. (a) Sketch the region R under the graph of f on the interval [0,2]. 1 2 3 Find its exact area using geometry. square units (b) Use a Riemann sum with four subintervals of equal length (n = 4) to approximate the area of R. Choose the representative points to be the right endpoints of the subintervals. square units (c) Repeat part (b) with eight subintervals of equal length (n = 8). square units

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...
Question
Let f(x) = 4x.
(a) Sketch the region R under the graph of f on the interval [0,2].
1
2
3
Find its exact area using geometry.
square units
(b) Use a Riemann sum with four subintervals of equal length (n = 4) to approximate the area of R. Choose the representative points to be the right endpoints of the subintervals.
square units
(c) Repeat part (b) with eight subintervals of equal length (n = 8).
square units
Transcribed Image Text:Let f(x) = 4x. (a) Sketch the region R under the graph of f on the interval [0,2]. 1 2 3 Find its exact area using geometry. square units (b) Use a Riemann sum with four subintervals of equal length (n = 4) to approximate the area of R. Choose the representative points to be the right endpoints of the subintervals. square units (c) Repeat part (b) with eight subintervals of equal length (n = 8). square units
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