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Q6 Let R be the region under the curve of f(x) = √2 +1,1 ≤ x ≤ 3. Let A(R) be the exact area of the region R. Select the correct choice in each case.

Q6 Let R be the region under the curve of f(x) = √2 +1,1 ≤ x ≤ 3. Let A(R) be the exact area of the region R. Select the correct choice in each case.

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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Q6 Let R be the region under the curve of f(x) = √² +1,1 ≤ x ≤ 3. Let A(R) be the exact area of the region R. Select the correct choice in each case. Q6.1 The expression approximating A(R) using the left hand sum with 3 subintervals is 01 (f(1) + f(5/3) + f(7/3)) O2 (f(1) + f(5/3) + f(7/3)) 02 3 02 3 2 0 Q6.2 A(R) = O 3 All of them. None of them. (f(1) + f(5/3) + f(7/3) + f(3)) (f(5/3) + f(7/3) + f(3)) (f(1) + f(5/3) + f(7/3)) - (f(1) + f(5/3) + f(7/3)) 2i √ ( ¹ + ²) + ¹ +1 n (Σ1 (12) + 1 2i (²/2 √ (¹ + ²) + ¹) 1+- +1 n 22 il lim n-x lim nx lim nx lim 11-00 2 2 2i ( 3² ± √( ₁ + ² ) ² + 1 1+ +1 n i=1 2 2i ( ² ± √ √ ( ₁ + ² ) ² + ₁ 1+ n i-1 1+ 2i n +1 2i ²/2 √ (₁ + ²)² + O None of the above. +1 I
Transcribed Image Text:Q6 Let R be the region under the curve of f(x) = √² +1,1 ≤ x ≤ 3. Let A(R) be the exact area of the region R. Select the correct choice in each case. Q6.1 The expression approximating A(R) using the left hand sum with 3 subintervals is 01 (f(1) + f(5/3) + f(7/3)) O2 (f(1) + f(5/3) + f(7/3)) 02 3 02 3 2 0 Q6.2 A(R) = O 3 All of them. None of them. (f(1) + f(5/3) + f(7/3) + f(3)) (f(5/3) + f(7/3) + f(3)) (f(1) + f(5/3) + f(7/3)) - (f(1) + f(5/3) + f(7/3)) 2i √ ( ¹ + ²) + ¹ +1 n (Σ1 (12) + 1 2i (²/2 √ (¹ + ²) + ¹) 1+- +1 n 22 il lim n-x lim nx lim nx lim 11-00 2 2 2i ( 3² ± √( ₁ + ² ) ² + 1 1+ +1 n i=1 2 2i ( ² ± √ √ ( ₁ + ² ) ² + ₁ 1+ n i-1 1+ 2i n +1 2i ²/2 √ (₁ + ²)² + O None of the above. +1 I
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