dy 5t vi (In(t) + 1) Vi dt

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.4: Relationships: Perpendicular Lines
Problem 28E: In the proof below, provide the missing reasons. Given: 1 and 2 are complementary 1 is acute Prove:...
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For the part circled in green, how did we get 1/2(t)^1/2 ?

11:53
Answered: entiation to find the de...
https://www.bartleby.com/questions-and-ans..
= bartleby
A Q&A I 8
Math / Calcul... / Q&A Libr... / entiation to find the derivati.
entiation to find the derivativ 10 A. In 5t ...
•..
Answer:
5t vi
Vi
dy
(In(t) + 1)
dt
Step 2
Given, y =
5t vi
Taking logarithm on both sides we have,
In(y) =
In(5t vî)
→ In(y) = In(5) + Vfi. In(t)
Now differentiating with respect to t , we have
0+n(1) + Vi. +
1 dy
_ 1
y dt
(1)
(GIn(t) + 1)
()-
1 dy
I In
+
Vi
y dt
5t vi
Vi
dy
dt
Which doesn't match any of the options. Option-D
matches except for the first term inside the bracket. It
seems the extra 5 in (In(5t) + 1) is a typo. The
dy
5t Vi
answer must be
dt
(In(t) + 1)
Vi
II
Transcribed Image Text:11:53 Answered: entiation to find the de... https://www.bartleby.com/questions-and-ans.. = bartleby A Q&A I 8 Math / Calcul... / Q&A Libr... / entiation to find the derivati. entiation to find the derivativ 10 A. In 5t ... •.. Answer: 5t vi Vi dy (In(t) + 1) dt Step 2 Given, y = 5t vi Taking logarithm on both sides we have, In(y) = In(5t vî) → In(y) = In(5) + Vfi. In(t) Now differentiating with respect to t , we have 0+n(1) + Vi. + 1 dy _ 1 y dt (1) (GIn(t) + 1) ()- 1 dy I In + Vi y dt 5t vi Vi dy dt Which doesn't match any of the options. Option-D matches except for the first term inside the bracket. It seems the extra 5 in (In(5t) + 1) is a typo. The dy 5t Vi answer must be dt (In(t) + 1) Vi II
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