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2. Consider the curve y = (x²+2) ³¹/ 0≤x≤1 a) Find the length of this curve b) Find the volume of the solid of revolution obtained by rotating the curve around the x-axis

2. Consider the curve y = (x²+2) ³¹/ 0≤x≤1 a) Find the length of this curve b) Find the volume of the solid of revolution obtained by rotating the curve around the x-axis

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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Please solve 2. a and b, thanks!
1. Evaluate each definite integral (Hint: very few calculations are required for these problems, a graph will be helpful) c) 3³3-√√9-x² dx ₁2+√1-x² dx a) ²₂x³e-x² dx e) a) 0 √√9-(x + 1)² dx 9T 2 b) 0 b) 510 cos(5t) dt c) - OCT 18 a) L = 4/3 b) V= d) 4+ 2. Consider the curve y = a) Find the length of this curve b) Find the volume of the solid of revolution obtained by rotating the curve around the x-axis 970 (x²+2) ³/2 0≤x≤1 467 67/315 cu. units 3. Find the volume of the solid obtained by rotating the region bounded by y = x², x=2, and y = 0 about the y- axis. Sketch the graph of the region and the solid V = 2n cu. units 4. Find the volume of the solid generated by rotating the region bounded by curve x = -y² + y and the y-axis about the y-axis. Sketch the region and the solid 5 Find the arc length of each curve (integrate by hand). MacBook Pro W S tv
Transcribed Image Text:1. Evaluate each definite integral (Hint: very few calculations are required for these problems, a graph will be helpful) c) 3³3-√√9-x² dx ₁2+√1-x² dx a) ²₂x³e-x² dx e) a) 0 √√9-(x + 1)² dx 9T 2 b) 0 b) 510 cos(5t) dt c) - OCT 18 a) L = 4/3 b) V= d) 4+ 2. Consider the curve y = a) Find the length of this curve b) Find the volume of the solid of revolution obtained by rotating the curve around the x-axis 970 (x²+2) ³/2 0≤x≤1 467 67/315 cu. units 3. Find the volume of the solid obtained by rotating the region bounded by y = x², x=2, and y = 0 about the y- axis. Sketch the graph of the region and the solid V = 2n cu. units 4. Find the volume of the solid generated by rotating the region bounded by curve x = -y² + y and the y-axis about the y-axis. Sketch the region and the solid 5 Find the arc length of each curve (integrate by hand). MacBook Pro W S tv
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