1 0 1 n₁ 2 3 n₂ X Copyright 2015 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in Editorial review has deemed that any suppressed content does not materially affect the overall learning expe

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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Only Number 21a
(T)
Read aloud
y
Estimate the niche overlap for species 1 using midpoints.
(Choose the number of subintervals yourself.)
1+
0
n₁(x) = (x - 1)(3 - x)
n₂(x) = (x - 2)(4 - x)
HA
1
ni
2
3
(c) Deduce that
1≤x≤3
2≤x≤4
n2
R₁-A <
Copyright 2015 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due
Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learr
b-a
19. Le
tin
-[f(b)-f(a)]
20. If A is the area under the curve y = e* from 1 to 3, use
Exercise 19 to find a value of n such that Rn - A < 0.0001.
n
CAS 21. (a) Express the area under the curve y = x from 0 to 2 as
a limit.
ap
en
(a)
(b
(b) Use a computer algebra system to find the sum in your
expression from part (a).
(c) Evaluate the limit in part (a).
Transcribed Image Text:(T) Read aloud y Estimate the niche overlap for species 1 using midpoints. (Choose the number of subintervals yourself.) 1+ 0 n₁(x) = (x - 1)(3 - x) n₂(x) = (x - 2)(4 - x) HA 1 ni 2 3 (c) Deduce that 1≤x≤3 2≤x≤4 n2 R₁-A < Copyright 2015 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learr b-a 19. Le tin -[f(b)-f(a)] 20. If A is the area under the curve y = e* from 1 to 3, use Exercise 19 to find a value of n such that Rn - A < 0.0001. n CAS 21. (a) Express the area under the curve y = x from 0 to 2 as a limit. ap en (a) (b (b) Use a computer algebra system to find the sum in your expression from part (a). (c) Evaluate the limit in part (a).
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