Use the properties of the derivative and the given vectors to find the following. = ti+ 8 sin(t)j + 8 cos(t)k u(t) = i + 8 sin(t)j + 8 cos(t)k r(t) (a) r'(t) = (b) r"(t) = (c) D[r(t) · u(t)] = (d) D[3r(t) – u(t)] = (e) D[r(t) x u(t)] = (f) DĘCI|r(t)||] = ,t > 0
Use the properties of the derivative and the given vectors to find the following. = ti+ 8 sin(t)j + 8 cos(t)k u(t) = i + 8 sin(t)j + 8 cos(t)k r(t) (a) r'(t) = (b) r"(t) = (c) D[r(t) · u(t)] = (d) D[3r(t) – u(t)] = (e) D[r(t) x u(t)] = (f) DĘCI|r(t)||] = ,t > 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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answer d and e
![Use the properties of the derivative and the given vectors to find the following.
r(t) = ti+ 8 sin(t)j + 8 cos(t)k
u(t) = i + 8 sin(t)j + 8 cos(t)k
(a)
r'(t) =
(b)
r"(t) =
(c)
DĘ[r(t) · u(t)] =
(d) DĘ[3r(t) – u(t)] =
(e) DĘ[r(t) x u(t)] =
(f) DĘ[l|r(t)||] =
,t> 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2643227-3849-4494-9524-98be523592d2%2F354500f9-e7ef-469f-a8cf-37b0c3305b81%2Fefs3046_processed.png&w=3840&q=75)
Transcribed Image Text:Use the properties of the derivative and the given vectors to find the following.
r(t) = ti+ 8 sin(t)j + 8 cos(t)k
u(t) = i + 8 sin(t)j + 8 cos(t)k
(a)
r'(t) =
(b)
r"(t) =
(c)
DĘ[r(t) · u(t)] =
(d) DĘ[3r(t) – u(t)] =
(e) DĘ[r(t) x u(t)] =
(f) DĘ[l|r(t)||] =
,t> 0
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