Let r(t) = (t², 1 — t, 4t). Calculate the derivative of r(t) · a(t) at t = 4, assuming that a(4) = (−2, 1, 4) and a’(4) = (5, 4, −7) d -r(t) · a(t)|t= . dt t=4 =
Let r(t) = (t², 1 — t, 4t). Calculate the derivative of r(t) · a(t) at t = 4, assuming that a(4) = (−2, 1, 4) and a’(4) = (5, 4, −7) d -r(t) · a(t)|t= . dt t=4 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let r(t) = (t², 1 — t, 4t). Calculate the derivative of r(t) · a(t) at t = 4,
assuming that a(4) = (−2, 1, 4) and a’(4) = (5, 4, −7)
d
-r(t) · a(t)|t=
.
dt
t=4 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05295cc1-71f0-4e3b-b6f8-2c1731c6d617%2F83193289-a7fd-4e1b-9d46-448e05def90c%2Fismdj5b_processed.png&w=3840&q=75)
Transcribed Image Text:Let r(t) = (t², 1 — t, 4t). Calculate the derivative of r(t) · a(t) at t = 4,
assuming that a(4) = (−2, 1, 4) and a’(4) = (5, 4, −7)
d
-r(t) · a(t)|t=
.
dt
t=4 =
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