y = /3(x – 3) t=-1 Let R be the region enclosed by the loop of the curve in Example 1. (1, 2) a. Find the area of R. b. If R is rotated about the z-axis, find the volume of the resulting solid. (3, 0) c. Find the centroid of R. T 43, 44, 45, and 46 Set up an integral that represents the length of the part of the paramet curve shown in the graph. Then use a calculator (or computer) to find the length correct to fo decimal places. t=1 (1, -2) y=-V3(x – 3)

y = /3(x – 3) t=-1 Let R be the region enclosed by the loop of the curve in Example 1. (1, 2) a. Find the area of R. b. If R is rotated about the z-axis, find the volume of the resulting solid. (3, 0) c. Find the centroid of R. T 43, 44, 45, and 46 Set up an integral that represents the length of the part of the paramet curve shown in the graph. Then use a calculator (or computer) to find the length correct to fo decimal places. t=1 (1, -2) y=-V3(x – 3)

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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Question

show work, need it to study

Figure 1
y
y=/3(x – 3)
1 = -
|Let R be the region enclosed by the loop of the curve in Example 1.
(1, 2)
a. Find the area of R.
b. If R is rotated about the a-axis, find the volume of the resulting solid.
(3, 0)
c. Find the centroid of R.
T 43, 44, 45, and 46 Set up an integral that represents the length of the part of the parametric
curve shown in the graph. Then use a calculator (or computer) to find the length correct to four
decimal places.
t=1
(1, -2)
y=-V3(x – 3)

. A Graph the curve x = –2 cos t, y = sint+ sin 2t to discover where it crosses itself. Then find
equations of both tangents at that point.

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