2.1 A curve C has equationy = x² - ¹x²³,x ≥ 0.Show that the area of the surface generated when the arc of C forwhich 0≤x≤ 3 is rotated through 2π radians about the x-axisis 3π square units.2.2 Find the area of the surface formed when f(x) = x² between 0 and 2 isrotated around the y-axis.2.3.1 x-axis,2.3.2 y-axis2.3 The curve y = √4-x², - 1 ≤ x ≤ 1, is an arc of the circle x² + y² = 4Find the area of the surface obtained by rotating this arc about the

Ans.(2) Given fumction f(x)= x2 0≤x≤2 Y-axis Area (s) = 2π∫abR(y)1+(f1y)2dy…

2.1 A curve C has equation y=x²-x², x ≥ 0. Show that the area of the surface generated when the arc of C for which 0≤x≤ 3 is rotated through 2π radians about the x-axis is 3π square units. 2.2 Find the area of the surface formed when f(x) = x2 between 0 and 2 is rotated around the y-axis. 2.3 The curve y = √4-x², -1 ≤ x ≤ 1, is an arc of the circle x² + y² = J Find the area of the surface obtained by rotating this arc about the 2.3.1 x-axis, 2.3.2 y-axis

2.1 A curve C has equation y=x²-x², x ≥ 0. Show that the area of the surface generated when the arc of C for which 0≤x≤ 3 is rotated through 2π radians about the x-axis is 3π square units. 2.2 Find the area of the surface formed when f(x) = x2 between 0 and 2 is rotated around the y-axis. 2.3 The curve y = √4-x², -1 ≤ x ≤ 1, is an arc of the circle x² + y² = J Find the area of the surface obtained by rotating this arc about the 2.3.1 x-axis, 2.3.2 y-axis

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 45E

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