. Let r(t) = (t², 1 t, 4t). Calculate the derivative of r(t) · a(t) at t = 6, assuming that a(6) = (9, −2, −2) and aʼ(6) = (2, 7, −8) d dt _r(t) · a(t)|t=6 · · = [ -0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.3: The Chain Rule
Problem 6YT
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Let r(t) = (t², 1 t, 4t). Calculate the derivative of r(t) · a(t) at t = 6,
assuming that a(6) = (9, −2, −2) and aʼ(6) = (2, 7, −8)
d
dt
_r(t) · a(t)|t=6 ·
· = [
-0
Transcribed Image Text:. Let r(t) = (t², 1 t, 4t). Calculate the derivative of r(t) · a(t) at t = 6, assuming that a(6) = (9, −2, −2) and aʼ(6) = (2, 7, −8) d dt _r(t) · a(t)|t=6 · · = [ -0
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