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:(b)
I→∞
(a)
lim
I→∞ ex
2. Evaluate the improper integrals or show that they diverge. Make careful use of limit notation.
10 2
2x
(x² + 2)²
(b) √∞ (
dr
re-2 dr
dr
√I 1
3. Use the Comparison Test to determine whether or not the integral converges.
(b) 1² P
(Ⓒ) √
dr
1¹/3 + 1³
dr
/15 +2
dr
4. Find the arc length of y = 2√x, from z = 0 to z = 1.
5. Find the centroid of the region enclosed by the parabola y = 1-² and by the z-axis.
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