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 Rn = lim [f(x1)Ax + f(x2)Ax+. .+f(xn)Ax] In(x) Consider the function f(x) = 3 < x < 10. Using the above definition, determine which of the following expressions represents the area under the graph of f as a limit. 7 In() A. lim 7i n→∞ n n In(3 + ) 7i В. lim 3 + 7i n n 10 In(10) n C. lim 10i i=1 n 10 In(3 + 101 n D. lim 10i 3 + n→∞ i=1 n 7i 7 In(3 + " E. lim > n 7i n i=1 3 + 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 Rn = lim [f(x1)Ax + f(x2)Ax+. .+f(xn)Ax] In(x) Consider the function f(x) = 3 < x < 10. Using the above definition, determine which of the following expressions represents the area under the graph of f as a limit. 7 In() A. lim 7i n→∞ n n In(3 + ) 7i В. lim 3 + 7i n n 10 In(10) n C. lim 10i i=1 n 10 In(3 + 101 n D. lim 10i 3 + n→∞ i=1 n 7i 7 In(3 + " E. lim > n 7i n i=1 3 + 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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