Find r'(t), r(t,), and r'(t,) for the given value of to- r(t) = (5 + t)i + t°j, to = 1 r'(t) = r(t,) = r'(t,) = Sketch the curve represented by the vector-valued function, and sketch the vectors r(t,) and r'(t,). 8 8 r' (1, 6) 6 4 (0, 5) (-4, 1) (6, 1) -1 1 2 -2 2 4 -6 -4 -2 r' -4 (-5, 0) (0, -5) (1, -4) (5, 0) -1 1 -6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find r'(t), r(t,), and r'(t,) for the given value of to-
r(t) = (5 + t)i + t°j, to = 1
r'(t) =
r(t,) =
r(t,) =
Sketch the curve represented by the vector-valued function, and sketch the vectors r(t,) and r'(t,).
8
81
6
(1, 6)
(0, 5)
2
(-4, 1)
(6, 1)
-1
-2
6.
-6
-2
(-5, 0)
(0, -5)
(1, -4)
(5, 0)
-1
-61
Transcribed Image Text:Find r'(t), r(t,), and r'(t,) for the given value of to- r(t) = (5 + t)i + t°j, to = 1 r'(t) = r(t,) = r(t,) = Sketch the curve represented by the vector-valued function, and sketch the vectors r(t,) and r'(t,). 8 81 6 (1, 6) (0, 5) 2 (-4, 1) (6, 1) -1 -2 6. -6 -2 (-5, 0) (0, -5) (1, -4) (5, 0) -1 -61
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