Find the unit tangent vector of the given curve.\\ r(t) = (8 \sin^3 10t)i + (8 \cos^3 10t)j\\ A. T = (8 \sin 10t)i - (8 \cos 10t)j\\ B. T = (8 \cos 10t)i - (8 \sin 10t)j\\ C. T = (\sin 10t)i - (\cos 10t)j\\ D. T = (240 \sin 10t)i - (240 \cos 10t)j
Added by Amy B.
Close
Step 1
r'(t) = (240 sin² 10t cos 10t)i - (240 cos² 10t sin 10t)j Show more…
Show all steps
Your feedback will help us improve your experience
Tahleem K and 54 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find the unit tangent vector T(t) at the point with the given value of the parameter t r(t) = 8 sin(t) i + 8 cos(t) j + 4 tan(t) k, t = π/4 T
Tahleem K.
Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = 4te−t, 8 arctan(t), 8et, t = 0
Supreeta N.
'Find tangent vector of unit length at the point with the given value of the parameter t. r(t) = (8 + t2)i + t2j t =1'
Drew S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD