Let r(t) = (t², 1 – t, 4t). Calculate the derivative of r(t) · a(t) at t = 8, assuming that a(8) = (5, –1, –6) and a'(8) = (5, 4, 1) d r(t) · a(t)|t=8 = dt

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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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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10.7: Problem 5
Let r(t) = (t2, 1 –- t, 4t). Calculate the derivative of
r(t) · a(t) at t = 8,
assuming that a(8) = (5, –1, –6) and a'(8) = (5, 4, 1)
d
-r(t) · a(t)|t=8
dt
Transcribed Image Text:10.7: Problem 5 Let r(t) = (t2, 1 –- t, 4t). Calculate the derivative of r(t) · a(t) at t = 8, assuming that a(8) = (5, –1, –6) and a'(8) = (5, 4, 1) d -r(t) · a(t)|t=8 dt
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