Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. V2 sts2 r(t) = (5t sin t+5 cos t)i + (5t cos t-5 sin t)j The curve's unit tangent vector is (Di+ ( +( ) k. The length of the indicated portion of the curve is units. (Simplify your answer.)

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.
r(t) = (5t sint+5 cos t)i + (5t cos t- 5 sin t)j 2 sts2
The curve's unit tangent vector is (Di+ (i+ ( k.
The length of the indicated portion of the curve is units. (Simplify your answer.)
Transcribed Image Text:Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (5t sint+5 cos t)i + (5t cos t- 5 sin t)j 2 sts2 The curve's unit tangent vector is (Di+ (i+ ( k. The length of the indicated portion of the curve is units. (Simplify your answer.)
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