Directly para meterizing (Z) ² d₂=0 2 S Sal 131=2 show that

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Can you please explain this solution in detail. I have the solution written but i don't understand it. 

2
Directly para meterizing
S (=) ² d₂=0
Sal 121=2
2 (t) = 2et
z'(t) = 2 ieit
Z (+) = 2e-it
( 2 (²)) ²2² = 4e²²
-2it
= 8c
S4.e-zit. Zielt dt
8i " Je - it dt
=8i.ei
-it
2 ot
=-8 (e-12ft
= -8 (1-1)
FO
-eº)
-
Аля
show that
os≤t ≤25
Transcribed Image Text:2 Directly para meterizing S (=) ² d₂=0 Sal 121=2 2 (t) = 2et z'(t) = 2 ieit Z (+) = 2e-it ( 2 (²)) ²2² = 4e²² -2it = 8c S4.e-zit. Zielt dt 8i " Je - it dt =8i.ei -it 2 ot =-8 (e-12ft = -8 (1-1) FO -eº) - Аля show that os≤t ≤25
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