Let f(x) = x², and compute the Riemann sum of f over the interval [8, 10], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.) (a) Two subintervals of equal length (n = 2) (b) Five subintervals of equal length (n = 5) (c) Ten subintervals of equal length (n = 10) (d) Can you guess at the area of the region under the graph of f on the interval [8, 10]? square units Let f(x) = 2x. (a) Sketch the region R under the graph of f on the interval [0,4]. 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 left endpoints of the subintervals. square units (c) Repeat part (b) with eight subintervals of equal length (n = 8). square units

Let f(x) = x², and compute the Riemann sum of f over the interval [8, 10], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.) (a) Two subintervals of equal length (n = 2) (b) Five subintervals of equal length (n = 5) (c) Ten subintervals of equal length (n = 10) (d) Can you guess at the area of the region under the graph of f on the interval [8, 10]? square units Let f(x) = 2x. (a) Sketch the region R under the graph of f on the interval [0,4]. 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 left endpoints of the subintervals. square units (c) Repeat part (b) with eight subintervals of equal length (n = 8). square units

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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