(d) r(π/6 + At) - r(π/6) = √3 2 cos At sin Ar-1+(cos Ar i+ At + 2 3√3 2 -sin At 1 3/-)1 2 X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Answer letter d

Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter DNE.)
r(t) = cos(t)i + 3 sin(t)j
(a) r(0) = i
3
(b) r(π/4)=
+
√2
√ 2
(c) r(0 - 1) = -cos (0)i-3 sin (0) j
3
(d) r(π/6 + At) - r(π/6) =
√3
2
cos At
1
2
sin Ar-31+ (cos Ar+ 3v3
At
i+
2
sin At- 3/₁1
2
X
Transcribed Image Text:Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter DNE.) r(t) = cos(t)i + 3 sin(t)j (a) r(0) = i 3 (b) r(π/4)= + √2 √ 2 (c) r(0 - 1) = -cos (0)i-3 sin (0) j 3 (d) r(π/6 + At) - r(π/6) = √3 2 cos At 1 2 sin Ar-31+ (cos Ar+ 3v3 At i+ 2 sin At- 3/₁1 2 X
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