The graphs of y = (15)/(√(49 + x^2)), x = 0.1, x = 1.4, and the line y = 5 form a bounded region

Name: The graphs of y = (15)/(√(49 + x^2)), x = 0.1, x = 1.4, and the line y = 5 form a bounded region that is then rotated about the x-axis to form a solid of revolution. What is the volume of the solid? Do not round until the end. Round your answer to the nearest tenth and do not include any units.
Uploaded: 2020-02-23T14:20:22-08:00
Duration: 2 min 53 s
Channel: Linh Vu
Description: The graphs of y = (15)/(√(49 + x^2)), x = 0.1, x = 1.4, and the line y = 5 form a bounded region that is then rotated about the x-axis to form a solid of revolution. What is the volume of the solid? Do not round until the end. Round your answer to the nearest tenth and do not include any units.

Step 1: First, let's find the points of intersection between the two curves. To do this, we set

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Question

The graphs of $y = \frac{15}{\sqrt{49 + x^2}}$, $x = 0.1$, $x = 1.4$, and the line $y = 5$ form a bounded region that is then rotated about the $x$-axis to form a solid of revolution. What is the volume of the solid? Do not round until the end. Round your answer to the nearest tenth and do not include any units.

          The graphs of $y = \frac{15}{\sqrt{49 + x^2}}$, $x = 0.1$, $x = 1.4$, and the line $y = 5$ form a bounded region that is then rotated about the $x$-axis to form a solid of revolution. What is the volume of the solid? Do not round until the end. Round your answer to the nearest tenth and do not include any units.

The graphs of y = (15)/(√(49 + x^2)), x = 0.1, x = 1.4, and the line y = 5 form a bounded region that is then rotated about the x-axis to form a solid of revolution. What is the volume of the solid? Do not round until the end. Round your answer to the nearest tenth and do not include any units.

Added by Abigail R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Linh Vu

02/23/2020

Step 1

To do this, we set the two equations equal to each other and solve for x: x^2 + 4 = 4x Rearranging the equation, we get: x^2 - 4x + 4 = 0 Factoring the equation, we get: (x - 2)^2 = 0 Taking the square root of both sides, we get: x - 2 = 0 x = 2 So the Show more…

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The graphs of y= axis to form a solid of revolution. What is the volume of the solid? Do not round until the end. Round your answer to the nearest tenth and do not include any units.