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Consider the following definite integral. 10 0 (10x-x²) dx a. Write the midpoint Riemann sum in sigma notation for an arbitrary value of n. b. Evaluate the sum using a calculator with n = 20, 50, and 100. Use these values to estimate the value of the integral. a. Choose the correct Riemann sum below. n A. A. Σ (2k-1)(2n + 1-2k) k=1 n OC. Σ(k)(n-1) k=1 n 250 3 k=1 n OE. (k-1)(n+1-k) 250 3 n 250 3 n b. Evaluate the sum using a calculator, with n = 20. The sum with n=20 is 166.875 (Do not round until the final answer. Then round to four decimal places as needed.) Evaluate the sum using a calculator, with n = 50. The sum with n = 50 is 166.703 (Do not round until the final answer. Then round to four decimal places as needed.) C... IM- IM- IM- OB. (2k-1)(2n+1-2k) OD. (k)(n-1) k=1 1000 n3 OF. (k-1)(n+1-k) k=1 1000 3 n n 1000 3

Consider the following definite integral. 10 0 (10x-x²) dx a. Write the midpoint Riemann sum in sigma notation for an arbitrary value of n. b. Evaluate the sum using a calculator with n = 20, 50, and 100. Use these values to estimate the value of the integral. a. Choose the correct Riemann sum below. n A. A. Σ (2k-1)(2n + 1-2k) k=1 n OC. Σ(k)(n-1) k=1 n 250 3 k=1 n OE. (k-1)(n+1-k) 250 3 n 250 3 n b. Evaluate the sum using a calculator, with n = 20. The sum with n=20 is 166.875 (Do not round until the final answer. Then round to four decimal places as needed.) Evaluate the sum using a calculator, with n = 50. The sum with n = 50 is 166.703 (Do not round until the final answer. Then round to four decimal places as needed.) C... IM- IM- IM- OB. (2k-1)(2n+1-2k) OD. (k)(n-1) k=1 1000 n3 OF. (k-1)(n+1-k) k=1 1000 3 n n 1000 3

Calculus: Early Transcendentals
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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Consider the following definite integral. 10 0 (10x-x²) dx a. Write the midpoint Riemann sum in sigma notation for an arbitrary value of n. b. Evaluate the sum using a calculator with n = 20, 50, and 100. Use these values to estimate the value of the integral. a. Choose the correct Riemann sum below. n A. A. Σ (2k-1)(2n + 1-2k) k=1 n OC. Σ(k)(n-1) k=1 n 250 3 k=1 n OE. (k-1)(n+1-k) 250 3 n 250 3 n b. Evaluate the sum using a calculator, with n = 20. The sum with n=20 is 166.875 (Do not round until the final answer. Then round to four decimal places as needed.) Evaluate the sum using a calculator, with n = 50. The sum with n = 50 is 166.703 (Do not round until the final answer. Then round to four decimal places as needed.) C... n OB. (2k-1)(2n+1-2k) Σ k=1 n 1000 OD. (k)(n-1) 3 n k=1 n A OF. (k-1)(n+1-k) k=1 1000 3 n n 1000 3
Transcribed Image Text:Consider the following definite integral. 10 0 (10x-x²) dx a. Write the midpoint Riemann sum in sigma notation for an arbitrary value of n. b. Evaluate the sum using a calculator with n = 20, 50, and 100. Use these values to estimate the value of the integral. a. Choose the correct Riemann sum below. n A. A. Σ (2k-1)(2n + 1-2k) k=1 n OC. Σ(k)(n-1) k=1 n 250 3 k=1 n OE. (k-1)(n+1-k) 250 3 n 250 3 n b. Evaluate the sum using a calculator, with n = 20. The sum with n=20 is 166.875 (Do not round until the final answer. Then round to four decimal places as needed.) Evaluate the sum using a calculator, with n = 50. The sum with n = 50 is 166.703 (Do not round until the final answer. Then round to four decimal places as needed.) C... n OB. (2k-1)(2n+1-2k) Σ k=1 n 1000 OD. (k)(n-1) 3 n k=1 n A OF. (k-1)(n+1-k) k=1 1000 3 n n 1000 3
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