Consider the given vector equation. r(t) = 3 sin(t)i + 4 cos(t)j (a) Find r'(t). r'(c) = (b) Sketch the plane curve together with position vector r(t) and the tangent vector r'(e) for the given value of t =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Consider the given vector equation.
r(t) = 3 sin(t)i + 4 cos(t)j
(a) Find r'(t).
r'(t) =
(b) Sketch the plane curve together with position vector r(t) and the tangent vector r'(t) for the given value of t = "
y
y
6
-6
-4
-2
2
4
6
-6
-4
2
4
6
-6
-4
-2
4
6
-2
-61
y
6
-6
-4
-2
2
4.
-2
Transcribed Image Text:Consider the given vector equation. r(t) = 3 sin(t)i + 4 cos(t)j (a) Find r'(t). r'(t) = (b) Sketch the plane curve together with position vector r(t) and the tangent vector r'(t) for the given value of t = " y y 6 -6 -4 -2 2 4 6 -6 -4 2 4 6 -6 -4 -2 4 6 -2 -61 y 6 -6 -4 -2 2 4. -2
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