Definition: The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles A = lim R₂ = lim [ƒ(x₁) Ax + f(x₂) Ax+...+f(xn) Ax] n→∞ n→∞ Consider the function f(x) = x, 1≤ x ≤ 16. Using the above definition, determine which of the following expressions represents the area under the graph of f as a limit. A. lim n→∞ Oc. lim n→∞ n Ο B. lim Σ n→∞ OD. lim n→∞0 WIŚWI-WIŚWI 16 n √1+ 15 4/ 15% n n 4/ 16ż n 15 4, n √1+ 16i n 15i n

Definition: The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles A = lim R₂ = lim [ƒ(x₁) Ax + f(x₂) Ax+...+f(xn) Ax] n→∞ n→∞ Consider the function f(x) = x, 1≤ x ≤ 16. Using the above definition, determine which of the following expressions represents the area under the graph of f as a limit. A. lim n→∞ Oc. lim n→∞ n Ο B. lim Σ n→∞ OD. lim n→∞0 WIŚWI-WIŚWI 16 n √1+ 15 4/ 15% n n 4/ 16ż n 15 4, n √1+ 16i n 15i n

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 62E

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