1 y 3 y=3-x2 2 y=2x 1 2 X There are two questions in this section. These two questions are not related. 1 1. A metal plate has a shape bounded by the curve Y = for 0x1. (a) Sketch the region. Find the area of the metal plate. (b) If the density of the metal plate is 8(x) plate? and the x-axis x2 1 X, what is the mass of the metal 2. A cone of ice cream can be considered as a revolution about the y-axis of a region that is bounded by the graphs of y 2x and y 3x², and the y-axis in the first quadrant (shown below). What is the volume of the ice cream?
1 y 3 y=3-x2 2 y=2x 1 2 X There are two questions in this section. These two questions are not related. 1 1. A metal plate has a shape bounded by the curve Y = for 0x1. (a) Sketch the region. Find the area of the metal plate. (b) If the density of the metal plate is 8(x) plate? and the x-axis x2 1 X, what is the mass of the metal 2. A cone of ice cream can be considered as a revolution about the y-axis of a region that is bounded by the graphs of y 2x and y 3x², and the y-axis in the first quadrant (shown below). What is the volume of the ice cream?
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...
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Transcribed Image Text:1
y
3
y=3-x2
2
y=2x
1
2
X
Transcribed Image Text:There are two questions in this section. These two questions are not related.
1
1. A metal plate has a shape bounded by the curve Y =
for 0x1.
(a) Sketch the region. Find the area of the metal plate.
(b) If the density of the metal plate is 8(x)
plate?
and the x-axis
x2 1
X, what is the mass of the metal
2. A cone of ice cream can be considered as a revolution about the y-axis of a region
that is bounded by the graphs of y
2x and y
3x², and the y-axis in
the first quadrant (shown below). What is the volume of the ice cream?
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