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30) Find the area bounded by the curves y = =, y = x and y = x when x > 0. a) In(2) b) In(2) – c) In(2) + d) In(2) + - 1 4 3 e) None of the above. 31) Let R be the region bounded by the graphs of f(x) = sin(x) and g(x) = x and the lines x = -1 and x = 1. Let S be the solid obtained by rotating R around the x-axis. Which of the following statements is correct? a) The area of R is given by 1 x – sin(x)dx. - cl

30) Find the area bounded by the curves y = =, y = x and y = x when x > 0. a) In(2) b) In(2) – c) In(2) + d) In(2) + - 1 4 3 e) None of the above. 31) Let R be the region bounded by the graphs of f(x) = sin(x) and g(x) = x and the lines x = -1 and x = 1. Let S be the solid obtained by rotating R around the x-axis. Which of the following statements is correct? a) The area of R is given by 1 x – sin(x)dx. - cl

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Solve both 30 and 31 please

30) Find the area bounded by the curves y = =, y = x and y = x when x > 0. a) In(2) b) In(2) – c) In(2) + d) In(2) + - 1 4 3 e) None of the above. 31) Let R be the region bounded by the graphs of f(x) = sin(x) and g(x) = x and the lines x = -1 and x = 1. Let S be the solid obtained by rotating R around the x-axis. Which of the following statements is correct? a) The area of R is given by S, x – sin(x)dx. b) The area of R is given by 2 x – sin(x)dx. T - c) The volume of S is given by n S, x² – sin2(x)dx. d) The volume of S is given by 2n S, x(x – sin(x))dx. - - e) None of the above.
Transcribed Image Text:30) Find the area bounded by the curves y = =, y = x and y = x when x > 0. a) In(2) b) In(2) – c) In(2) + d) In(2) + - 1 4 3 e) None of the above. 31) Let R be the region bounded by the graphs of f(x) = sin(x) and g(x) = x and the lines x = -1 and x = 1. Let S be the solid obtained by rotating R around the x-axis. Which of the following statements is correct? a) The area of R is given by S, x – sin(x)dx. b) The area of R is given by 2 x – sin(x)dx. T - c) The volume of S is given by n S, x² – sin2(x)dx. d) The volume of S is given by 2n S, x(x – sin(x))dx. - - e) None of the above.
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