Compute the derivative of the vector valued functions. (a) Calculate the derivative in two different ways to verify the rules in Section 3.2: r (g (t)) where r (t) = (2 sin 2t, 6 cos 2t) and g (t) = t (b) Calculate the derivative in two different ways to verify the rules in Section 3.2: ri (t) · r2 (t) where r; (t) = (t°, t°, 4t) and r2 (t) = (t-1,1+ t, 2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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Compute the derivative of the vector valued functions.
(a) Calculate the derivative in two different ways to verify the rules in Section 3.2:
r (g (t)) where r (t) = (2 sin 2t, 6 cos 2t) and g (t) = t
(b) Calculate the derivative in two different ways to verify the rules in Section 3.2:
ri (t) · r2 (t) where r; (t) = (t°, t°, 4t) and r2 (t) = (t-1,1+ t, 2)
Transcribed Image Text:Compute the derivative of the vector valued functions. (a) Calculate the derivative in two different ways to verify the rules in Section 3.2: r (g (t)) where r (t) = (2 sin 2t, 6 cos 2t) and g (t) = t (b) Calculate the derivative in two different ways to verify the rules in Section 3.2: ri (t) · r2 (t) where r; (t) = (t°, t°, 4t) and r2 (t) = (t-1,1+ t, 2)
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