Question

1. Use a Riemann sum with n = 3 to approximate the area under the curve f(x) = 20 - x^2 on the interval [2, 4]. Use left hand end points to get the heights. (Be sure to calculate the value of the Riemann sum.) Sketch the graph and show the rectangles that are used. Then decide if your Riemann sum is larger or smaller than the exact area under the curve.

Name: 1. Use a Riemann sum with n = 3 to approximate the area under the curve f(x) = 20 - x^2 on the interval [2, 4]. Use left hand end points to get the heights. (Be sure to calculate the value of the Riemann sum.) Sketch the graph and show the rectangles that are used. Then decide if your Riemann sum is larger or smaller than the exact area under the curve.
Uploaded: 2022-08-08T20:15:00-08:00
Duration: 2 min 53 s
Channel: Suzanne W.
Description: 1. Use a Riemann sum with n = 3 to approximate the area under the curve f(x) = 20 - x^2 on the interval [2, 4]. Use left hand end points to get the heights. (Be sure to calculate the value of the Riemann sum.) Sketch the graph and show the rectangles that are used. Then decide if your Riemann sum is larger or smaller than the exact area under the curve.

          1. Use a Riemann sum with n = 3 to approximate the area under the curve f(x) = 20 - x^2 on the interval [2, 4]. Use left hand end points to get the heights. (Be sure to calculate the value of the Riemann sum.) Sketch the graph and show the rectangles that are used. Then decide if your Riemann sum is larger or smaller than the exact area under the curve.

1. Use a Riemann sum with n = 3 to approximate the area under the curve f(x) = 20 - x^2 on the interval [2, 4]. Use left hand end points to get the heights. (Be sure to calculate the value of the Riemann sum.) Sketch the graph and show the rectangles that are used. Then decide if your Riemann sum is larger or smaller than the exact area under the curve.

Added by James H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Suzanne W.

08/08/2022

Step 1

Step 1: Calculate the width of each subinterval: Given n = 3, the width of each subinterval, Δx, is (4 - 2) / 3 = 2/3. Show more…

Show all steps

Thanks for your feedback!

Use a Riemann sum with n = 3 to approximate the area under the curve f(x) = 20x^2 on the interval [2, 4]. Use left-hand endpoints to get the heights. (Be sure to calculate the value of the Riemann sum.) Sketch the graph and show the rectangles that are used. Then decide if your Riemann sum is larger or smaller than the exact area under the curve.