3. Let R be the region below bounded by the parabola y = 4-x²2 and the lines 3.x - 2y +3=0 and y = 0. (0,4) (a) Set up a (sum of) definite integral(s) with respect to a that is equal to the area of R. R (b) Set up a definite integral that is equal to the arc length of the portion of the parabola y = 4 - x² which serves as a boundary of R. (c) Use the WASHER METHOD to set up a (sum of) definite integral (s) that is equal to the volume of the solid generated when R is revolved about the line a = 2. (-2,0) (-1,0) (1,3)
3. Let R be the region below bounded by the parabola y = 4-x²2 and the lines 3.x - 2y +3=0 and y = 0. (0,4) (a) Set up a (sum of) definite integral(s) with respect to a that is equal to the area of R. R (b) Set up a definite integral that is equal to the arc length of the portion of the parabola y = 4 - x² which serves as a boundary of R. (c) Use the WASHER METHOD to set up a (sum of) definite integral (s) that is equal to the volume of the solid generated when R is revolved about the line a = 2. (-2,0) (-1,0) (1,3)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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