2. Let r(t) be a curve of constant speed defined on the interval [—^, π]. If the unit tangent vector of r(t) at any point is given by T(t) = (sint, cost) and the curve length of r(t) is 47, then the value of r'(π/4) is A. (√2,-√2) B. (-√√2/2, √√2/2) C. (√2,0) D. (√2/2,√2/2) E. (√2, √2)
2. Let r(t) be a curve of constant speed defined on the interval [—^, π]. If the unit tangent vector of r(t) at any point is given by T(t) = (sint, cost) and the curve length of r(t) is 47, then the value of r'(π/4) is A. (√2,-√2) B. (-√√2/2, √√2/2) C. (√2,0) D. (√2/2,√2/2) E. (√2, √2)
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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![2. Let r(t) be a curve of constant speed defined on the interval [—^,^]. If the unit tangent vector
of r(t) at any point is given by T(t) = (sint, cost) and the curve length of r(t) is 47, then the
value of r'(π/4) is
A. (√2, -√2)
B. (-√√2/2, √√2/2)
C. (√2,0)
D. (√2/2,√2/2)
E. (√2, √2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ad5b41a-e0e2-4095-8e57-16b6f4fda9ed%2F6a99bad2-bf3a-4038-a801-9231cce1a267%2Fknffjq8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Let r(t) be a curve of constant speed defined on the interval [—^,^]. If the unit tangent vector
of r(t) at any point is given by T(t) = (sint, cost) and the curve length of r(t) is 47, then the
value of r'(π/4) is
A. (√2, -√2)
B. (-√√2/2, √√2/2)
C. (√2,0)
D. (√2/2,√2/2)
E. (√2, √2)
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