. Find the area of the region bounded by the two curves y = x3 + 3x2 + 2x and y = 2x? +4x.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Answer the following. Show complete solutions and simplify your answer.
1. Find the area of the region bounded by the two curves y = x3 + 3x² + 2x
and y = 2x2 +4x.
2. Find the volume of the solid generated by revolving about the line x = -4
the region bounded by the two parabolas x = y - y? and x = y2 – 3.
(a) Use circular ring method
(b) Use cylindrical shell method (just set-up the integral for this)
Transcribed Image Text:Answer the following. Show complete solutions and simplify your answer. 1. Find the area of the region bounded by the two curves y = x3 + 3x² + 2x and y = 2x2 +4x. 2. Find the volume of the solid generated by revolving about the line x = -4 the region bounded by the two parabolas x = y - y? and x = y2 – 3. (a) Use circular ring method (b) Use cylindrical shell method (just set-up the integral for this)
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