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 1 3 (b) r(π/4) = √2 √2¹ (c) r(0 - 1) = -cos(0)i-3 sin (0) j (d) r(π/6 + At) - r(π/6) = (√3 -cos At sin A1 - 31+ (cos Ar + 3√3 At i+ At 2 2 + - -sin At 3/-)1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 11EQ
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Since letter D is incorrect, give the correct answer

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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