EBK APPLIED CALCULUS, ENHANCED ETEXT
6th Edition
ISBN: 9781119399353
Author: DA
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 3.2, Problem 31P
To determine
To find:
The relative rate of change for the given function.
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EXAMPLE 3
Find
S
X
√√2-2x2
dx.
SOLUTION Let u = 2 - 2x². Then du =
Χ
dx =
2- 2x²
=
信
du
dx, so x dx =
du and
u-1/2 du
(2√u) + C
+ C (in terms of x).
Let g(z) =
z-i
z+i'
(a) Evaluate g(i) and g(1).
(b) Evaluate the limits
lim g(z), and lim g(z).
2-12
(c) Find the image of the real axis under g.
(d) Find the image of the upper half plane {z: Iz > 0} under the function g.
k
(i) Evaluate
k=7
k=0
[Hint: geometric series + De Moivre]
(ii) Find an upper bound for the expression
1
+2x+2
where z lies on the circle || z|| = R with R > 10. [Hint: Use Cauchy-Schwarz]
Chapter 3 Solutions
EBK APPLIED CALCULUS, ENHANCED ETEXT
Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.1 - Prob. 8PCh. 3.1 - Prob. 9PCh. 3.1 - Prob. 10P
Ch. 3.1 - Prob. 11PCh. 3.1 - Prob. 12PCh. 3.1 - Prob. 13PCh. 3.1 - Prob. 14PCh. 3.1 - Prob. 15PCh. 3.1 - Prob. 16PCh. 3.1 - Prob. 17PCh. 3.1 - Prob. 18PCh. 3.1 - Prob. 19PCh. 3.1 - Prob. 20PCh. 3.1 - Prob. 21PCh. 3.1 - Prob. 22PCh. 3.1 - Prob. 23PCh. 3.1 - Prob. 24PCh. 3.1 - Prob. 25PCh. 3.1 - Prob. 26PCh. 3.1 - Prob. 27PCh. 3.1 - Prob. 28PCh. 3.1 - Prob. 29PCh. 3.1 - Prob. 30PCh. 3.1 - Prob. 31PCh. 3.1 - Prob. 32PCh. 3.1 - Prob. 33PCh. 3.1 - Prob. 34PCh. 3.1 - Prob. 35PCh. 3.1 - Prob. 36PCh. 3.1 - Prob. 37PCh. 3.1 - Prob. 38PCh. 3.1 - Prob. 39PCh. 3.1 - Prob. 40PCh. 3.1 - Prob. 41PCh. 3.1 - Prob. 42PCh. 3.1 - Prob. 43PCh. 3.1 - Prob. 44PCh. 3.1 - Prob. 45PCh. 3.1 - Prob. 46PCh. 3.1 - Prob. 47PCh. 3.1 - Prob. 48PCh. 3.1 - Prob. 49PCh. 3.1 - Prob. 50PCh. 3.1 - Prob. 51PCh. 3.1 - Prob. 52PCh. 3.1 - Prob. 53PCh. 3.1 - Prob. 54PCh. 3.1 - Prob. 55PCh. 3.1 - Prob. 56PCh. 3.1 - Prob. 57PCh. 3.1 - Prob. 58PCh. 3.1 - Prob. 59PCh. 3.1 - Prob. 60PCh. 3.1 - Prob. 61PCh. 3.1 - Prob. 62PCh. 3.1 - Prob. 63PCh. 3.1 - 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Prob. 33PCh. 3.3 - Prob. 34PCh. 3.3 - Prob. 35PCh. 3.3 - Prob. 36PCh. 3.3 - Prob. 37PCh. 3.3 - Prob. 38PCh. 3.3 - Prob. 39PCh. 3.3 - Prob. 40PCh. 3.3 - Prob. 41PCh. 3.3 - Prob. 42PCh. 3.3 - Prob. 43PCh. 3.3 - Prob. 44PCh. 3.3 - Prob. 45PCh. 3.3 - Prob. 46PCh. 3.3 - Prob. 47PCh. 3.3 - Prob. 48PCh. 3.3 - Prob. 49PCh. 3.3 - Prob. 50PCh. 3.3 - Prob. 51PCh. 3.3 - Prob. 52PCh. 3.3 - Prob. 53PCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.4 - Prob. 5PCh. 3.4 - Prob. 6PCh. 3.4 - Prob. 7PCh. 3.4 - Prob. 8PCh. 3.4 - Prob. 9PCh. 3.4 - Prob. 10PCh. 3.4 - Prob. 11PCh. 3.4 - Prob. 12PCh. 3.4 - Prob. 13PCh. 3.4 - Prob. 14PCh. 3.4 - Prob. 15PCh. 3.4 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - Prob. 19PCh. 3.4 - Prob. 20PCh. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.4 - Prob. 24PCh. 3.4 - Prob. 25PCh. 3.4 - Prob. 26PCh. 3.4 - Prob. 27PCh. 3.4 - Prob. 28PCh. 3.4 - Prob. 29PCh. 3.4 - Prob. 30PCh. 3.4 - Prob. 31PCh. 3.4 - Prob. 32PCh. 3.4 - Prob. 33PCh. 3.4 - Prob. 34PCh. 3.4 - Prob. 35PCh. 3.4 - Prob. 36PCh. 3.4 - Prob. 37PCh. 3.4 - Prob. 38PCh. 3.4 - Prob. 39PCh. 3.4 - Prob. 40PCh. 3.4 - Prob. 41PCh. 3.4 - Prob. 42PCh. 3.4 - Prob. 43PCh. 3.4 - Prob. 44PCh. 3.4 - Prob. 45PCh. 3.4 - Prob. 46PCh. 3.4 - Prob. 47PCh. 3.4 - Prob. 48PCh. 3.4 - Prob. 49PCh. 3.4 - Prob. 50PCh. 3.4 - Prob. 51PCh. 3.4 - Prob. 52PCh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.5 - Prob. 8PCh. 3.5 - Prob. 9PCh. 3.5 - Prob. 10PCh. 3.5 - Prob. 11PCh. 3.5 - Prob. 12PCh. 3.5 - Prob. 13PCh. 3.5 - Prob. 14PCh. 3.5 - Prob. 15PCh. 3.5 - Prob. 16PCh. 3.5 - Prob. 17PCh. 3.5 - Prob. 18PCh. 3.5 - Prob. 19PCh. 3.5 - Prob. 20PCh. 3.5 - Prob. 21PCh. 3.5 - Prob. 22PCh. 3.5 - Prob. 23PCh. 3.5 - Prob. 24PCh. 3.5 - Prob. 25PCh. 3.5 - Prob. 26PCh. 3.5 - Prob. 27PCh. 3.5 - Prob. 28PCh. 3.5 - Prob. 29PCh. 3.5 - Prob. 30PCh. 3.5 - Prob. 31PCh. 3.5 - Prob. 32PCh. 3.5 - Prob. 33PCh. 3.5 - Prob. 34PCh. 3.5 - Prob. 35PCh. 3.5 - Prob. 36PCh. 3.5 - Prob. 37PCh. 3 - Prob. 1SYUCh. 3 - Prob. 2SYUCh. 3 - Prob. 3SYUCh. 3 - Prob. 4SYUCh. 3 - Prob. 5SYUCh. 3 - Prob. 6SYUCh. 3 - Prob. 7SYUCh. 3 - Prob. 8SYUCh. 3 - Prob. 9SYUCh. 3 - Prob. 10SYUCh. 3 - Prob. 11SYUCh. 3 - Prob. 12SYUCh. 3 - Prob. 13SYUCh. 3 - Prob. 14SYUCh. 3 - Prob. 15SYUCh. 3 - Prob. 16SYUCh. 3 - Prob. 17SYUCh. 3 - Prob. 18SYUCh. 3 - Prob. 19SYUCh. 3 - Prob. 20SYUCh. 3 - Prob. 21SYUCh. 3 - Prob. 22SYUCh. 3 - Prob. 23SYUCh. 3 - Prob. 24SYUCh. 3 - Prob. 25SYUCh. 3 - Prob. 26SYUCh. 3 - Prob. 27SYUCh. 3 - Prob. 28SYUCh. 3 - Prob. 29SYUCh. 3 - Prob. 30SYUCh. 3 - Prob. 31SYUCh. 3 - Prob. 32SYUCh. 3 - Prob. 33SYUCh. 3 - Prob. 34SYUCh. 3 - Prob. 35SYUCh. 3 - Prob. 36SYUCh. 3 - Prob. 37SYUCh. 3 - Prob. 38SYUCh. 3 - Prob. 39SYUCh. 3 - Prob. 40SYUCh. 3 - Prob. 41SYUCh. 3 - Prob. 42SYUCh. 3 - Prob. 43SYUCh. 3 - Prob. 44SYUCh. 3 - Prob. 45SYUCh. 3 - Prob. 46SYUCh. 3 - Prob. 47SYUCh. 3 - Prob. 48SYUCh. 3 - Prob. 49SYUCh. 3 - Prob. 50SYUCh. 3 - Prob. 1FOTCh. 3 - Prob. 2FOTCh. 3 - 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Prob. 45FOPCh. 3 - Prob. 46FOPCh. 3 - Prob. 47FOPCh. 3 - Prob. 48FOPCh. 3 - Prob. 49FOPCh. 3 - Prob. 50FOPCh. 3 - Prob. 51FOPCh. 3 - Prob. 52FOPCh. 3 - Prob. 53FOPCh. 3 - Prob. 54FOPCh. 3 - Prob. 55FOPCh. 3 - Prob. 56FOPCh. 3 - Prob. 57FOPCh. 3 - Prob. 58FOPCh. 3 - Prob. 59FOPCh. 3 - Prob. 60FOPCh. 3 - Prob. 61FOPCh. 3 - Prob. 62FOPCh. 3 - Prob. 63FOP
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