3. Which of the following gives the length of the path described by the parametric equations z = sin (t) and y = e" fromt-0 tot-n? I Vain? (*) + e" dt © I Vot'con² (t*) + 25«-" dt con (t) + be" dt © I Vcor" (31") +el dt 4. Iffis a vector-valued function defined by f (t) = (e*, cos t), then f" (t) –
3. Which of the following gives the length of the path described by the parametric equations z = sin (t) and y = e" fromt-0 tot-n? I Vain? (*) + e" dt © I Vot'con² (t*) + 25«-" dt con (t) + be" dt © I Vcor" (31") +el dt 4. Iffis a vector-valued function defined by f (t) = (e*, cos t), then f" (t) –
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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Could you help on number 3,4,5. If possible please give an explanation for the answers. Thank
![3. Which of the following gives the length of the path described by the parametric equations z = sin (t) and
y = e fromt 0 tot=n ?
sin (t) + el0 dt
8 / Vcos? (t) + e 10€ dt
© / Voe°cos² (P) + 25e10 dt
V3t coe (t) + 5e" dt
I Voos? (34) +e0E dt
4. Iffis a vector-valued function defined by f (t) = (e, Cos t), then f" (t) =
Cipn 2I. The Cllepe d. These mals petofe Cllege d pgn he d terheteonleinpbeal y
Page 2 of 4
sel'sretiretm in heoremiiel
Test Booklet
A) -e'+sin
B) e-cos t
© (-e", -sin t)
D) (e'. cos t)
E) (e', -cos i)
The instantaneous rate of change of the vector-valued function f(t) is given by
5.
T(t) = (3+ 30t – 8t", 9 + 4£). If f(1) = (4, –3), what is f(-1) ?
A (-19,5)
(в) (-2, -9)
© (6, –14)
(10, –1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ef46c7b-ed02-492c-be4d-4689282e398f%2Fb2345172-95ce-4988-9321-ebe739a30534%2F7za0hvh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Which of the following gives the length of the path described by the parametric equations z = sin (t) and
y = e fromt 0 tot=n ?
sin (t) + el0 dt
8 / Vcos? (t) + e 10€ dt
© / Voe°cos² (P) + 25e10 dt
V3t coe (t) + 5e" dt
I Voos? (34) +e0E dt
4. Iffis a vector-valued function defined by f (t) = (e, Cos t), then f" (t) =
Cipn 2I. The Cllepe d. These mals petofe Cllege d pgn he d terheteonleinpbeal y
Page 2 of 4
sel'sretiretm in heoremiiel
Test Booklet
A) -e'+sin
B) e-cos t
© (-e", -sin t)
D) (e'. cos t)
E) (e', -cos i)
The instantaneous rate of change of the vector-valued function f(t) is given by
5.
T(t) = (3+ 30t – 8t", 9 + 4£). If f(1) = (4, –3), what is f(-1) ?
A (-19,5)
(в) (-2, -9)
© (6, –14)
(10, –1)
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