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. 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 rectanglesA = lim Rn = lim [f(x1)Aæ + f(x2)Ax+.+f(xn)Ax]n00n00(a) Use the above definition to determine which of the following expressions represents the area under the graph of f(x) = x5 from x = 0 to x = 2.64A. limn00 nb64В. limn00 n6iС. limn→00 n664D. limn00n(b) Evaluate the limit that is the correct answer to part (a). You may find the following formula helpful:п? (п + 1)2(2n? + 2n — 1)15 + 25 + 35 +. +n³12i=1Value of limit =WIEWIEWI-WI

Answered: Image /qna-images/answer/88315b6a-d0af-461b-842c-1becc148eacc.jpg

Definition: The AREAA 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 R, = lim [f(x1)Ax + f(x2)Ax+.+f(xn)Ar] n00 n00 (a) Use the above definition to determine which of the following expressions represents the area under the graph of f(x) = x³ from x = 0 to x = 2. A. lim n00 n6 В. lim n-00 n6 1 C. lim n00 n6 64 D. lim n00 (b) Evaluate the limit that is the correct answer to part (a). You may find the following formula helpful: n2(n + 1)2(2n² + 2n – 1) 15 + 2° + 35+...+n° 12 i=1 Value of limit =

Definition: The AREAA 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 R, = lim [f(x1)Ax + f(x2)Ax+.+f(xn)Ar] n00 n00 (a) Use the above definition to determine which of the following expressions represents the area under the graph of f(x) = x³ from x = 0 to x = 2. A. lim n00 n6 В. lim n-00 n6 1 C. lim n00 n6 64 D. lim n00 (b) Evaluate the limit that is the correct answer to part (a). You may find the following formula helpful: n2(n + 1)2(2n² + 2n – 1) 15 + 2° + 35+...+n° 12 i=1 Value of limit =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.2: Trigonometric Equations

Problem 96E

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