Find the curve's unit tangent vector. Also, find the length of the indicated portion of the...
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← Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (cos ³)j + (sin ³t) k. Osts Find the curve's unit tangent vector. T() = -k COLED Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = 6t³i+21³j+3t³k 1sts3 The curve's unit tangent vector is i++ k (Type an integer or a simplified fraction.) Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 2√2 r(t) = (t cos t)i + (tsin t)j + 3/2k Ostsa ₁+₁+k. The curve's unit tangent vector is (Type exact answers, using radicals as needed.) To alustrate that the length of a smooth space curve does not depend on the parameterization used to compute it, calculate the length of one turn of the helix with the following parameterizations. a. rit) (cos 4t) (sin 41j4tk, Osts i+sin x jk. Osts4x b. r(t)= cos c. f(t)-(cost-(ein 18-tk.-2x5150 Note that the helix shown to the right is just one example of such a helx, and does not exactly correspond to the parametrizations in parts a, b, or c 42 BLAUE ← Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (cos ³)j + (sin ³t) k. Osts Find the curve's unit tangent vector. T() = -k COLED Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = 6t³i+21³j+3t³k 1sts3 The curve's unit tangent vector is i++ k (Type an integer or a simplified fraction.) Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 2√2 r(t) = (t cos t)i + (tsin t)j + 3/2k Ostsa ₁+₁+k. The curve's unit tangent vector is (Type exact answers, using radicals as needed.) To alustrate that the length of a smooth space curve does not depend on the parameterization used to compute it, calculate the length of one turn of the helix with the following parameterizations. a. rit) (cos 4t) (sin 41j4tk, Osts i+sin x jk. Osts4x b. r(t)= cos c. f(t)-(cost-(ein 18-tk.-2x5150 Note that the helix shown to the right is just one example of such a helx, and does not exactly correspond to the parametrizations in parts a, b, or c 42 BLAUE
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Essentials of Business Statistics Communicating With Numbers
ISBN: 978-0078020544
1st edition
Authors: Sanjiv Jaggia, Alison Kelly
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