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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped p Tutorial Exercise Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 3. y = 2x², y = 0, x = 1 Step 1 Rotating vertical strip around x = 3 creates a cylinder with radius r = and height h= ✓ 3-T 2.7¹ ILL y=0 Step 2 Now we can say that the volume of the solid created by rotating the region under y = 2x4 and above the x-axis between x = 0 and x = 1 around x = 3 is V - [º 2xrh dx 3-x [3-2)(2x¹)dx. This simplifies to 2 2x * (6x² - 2x³) dx. Step 3 So, the volume of our solid is 2 Submit Skip (you cannot come back)

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped p Tutorial Exercise Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 3. y = 2x², y = 0, x = 1 Step 1 Rotating vertical strip around x = 3 creates a cylinder with radius r = and height h= ✓ 3-T 2.7¹ ILL y=0 Step 2 Now we can say that the volume of the solid created by rotating the region under y = 2x4 and above the x-axis between x = 0 and x = 1 around x = 3 is V - [º 2xrh dx 3-x [3-2)(2x¹)dx. This simplifies to 2 2x * (6x² - 2x³) dx. Step 3 So, the volume of our solid is 2 Submit Skip (you cannot come back)

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 54AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 3. y = 2x4, y = 0, x = 1 Step 1 Rotating a vertical strip around x = 3 creates a cylinder with radius r = (3-x) and height h = 2x 3-x 2x4 11 y=0 Step 2 Now we can say that the volume of the solid created by rotating the region under y = 2x4 and above the x-axis between x = 0 and x = 1 around x = 3 is V = Sº 2лrh dx 27 3 ·x S 7) (2x²) dx. This simplifies to 2r.*(6x¹ - 2x5) dx. Step 3 So, the volume of our solid is 2 Submit Skip (you cannot come back) 3-x
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about x = 3. y = 2x4, y = 0, x = 1 Step 1 Rotating a vertical strip around x = 3 creates a cylinder with radius r = (3-x) and height h = 2x 3-x 2x4 11 y=0 Step 2 Now we can say that the volume of the solid created by rotating the region under y = 2x4 and above the x-axis between x = 0 and x = 1 around x = 3 is V = Sº 2лrh dx 27 3 ·x S 7) (2x²) dx. This simplifies to 2r.*(6x¹ - 2x5) dx. Step 3 So, the volume of our solid is 2 Submit Skip (you cannot come back) 3-x
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