6x7. In the figure below, R is the region bounded by the line x+ y= 4, the curve y=, and thex+1у-ахis.x+ y = 4ERy (x+1) = 6xFinda. The area of R.b. The volume of solid obtained when R is rotated through 360° about the x-axis. Leaveyour answer in term of r.

Answered: Image /qna-images/answer/5f662379-5c64-445d-b9bd-a0e3a9834f2e.jpg

Answered: 6x 7. In the figure below, R is the…

6x 7. In the figure below, R is the region bounded by the line x+ y = 4, the curve y=, and the x+1 у-ахis. *+y =4 R y (x+1) = 6r Find a. The area of R.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 37E: Find the exact volume of the solid that results when the triangular region with vertices at 0, 0, 5,...

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Question

6x
7. In the figure below, R is the region bounded by the line x+ y= 4, the curve y=, and the
x+1
у-ахis.
x+ y = 4
ER
y (x+1) = 6x
Find
a. The area of R.
b. The volume of solid obtained when R is rotated through 360° about the x-axis. Leave
your answer in term of r.

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