(a) Find the area of the region bounded by the given curves x+y=0, x = y² + 3y.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.1: The Graphing Method
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(a) Find the area of the region bounded by the given curves
x + y = 0,
r = y² + 3y.
(b) Let R be the region bounded by the curves y = tan (2²), z = 1, and y = 0. Use the
Midpoint Rule with n = 4 to estimate the area of R.
(c) The figure below shows a horizontal line y = c intersecting the curve y = 82 - 272³. Find
the number c such that the areas of the shaded regions are equal.
y
y=81-27x³
y=c
Transcribed Image Text:(a) Find the area of the region bounded by the given curves x + y = 0, r = y² + 3y. (b) Let R be the region bounded by the curves y = tan (2²), z = 1, and y = 0. Use the Midpoint Rule with n = 4 to estimate the area of R. (c) The figure below shows a horizontal line y = c intersecting the curve y = 82 - 272³. Find the number c such that the areas of the shaded regions are equal. y y=81-27x³ y=c
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