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
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Chapter2: Second-order Linear Odes
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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 =
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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