Explanation Given: Equation of the curve in vector form is r ( t ) = 〈 − 100 t 2 , 7 − t , 40 − t 2 〉 Formula used: Tangent line at r ( t 0 ) : L ( t ) = r ( t 0 ) + t r ' ( t 0 ) Calculation: Tangent vector to r ( t ) = 〈 − 100 t 2 , 7 − t , 40 − t 2 〉 is given by r ' ( t ) = 〈 200 t 3 , − 1 , − 2 t 〉 At time t = 1, r ' ( 1 ) = 〈 200 , − 1 , −

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 14, Problem 27CRE

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Which point in the yz-plane does the laser beam hit if a laser is fired (in the tangential direction) toward the yz-plane at time t = 1. During a short time, interval [0.5, 1.5], the path of an unmanned spy plane is described by $r (t) = 〈 - \frac{100}{t^{2}}, 7 - t, 40 - t^{2} 〉$ ?

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Chapter 14, Problem 26CRE

Chapter 14, Problem 28CRE

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Chapter 14 Solutions

Calculus - Standalone book

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 6PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E

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Which point in the yz -plane does the laser beam hit if a laser is fired (in the tangential direction) toward the yz -plane at time t = 1. During a short time, interval [0.5, 1.5], the path of an unmanned spy plane is described by r ( t ) = 〈 − 100 t 2 , 7 − t , 40 − t 2 〉 ?

Solution Summary: The author explains how the laser beam hits a point in the yz-plane at time t = 1. The path of an unmanned spy plane is described by r (t 0) = 100

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Which point in the yz-plane does the laser beam hit if a laser is fired (in the tangential direction) toward the yz-plane at time t = 1. During a short time, interval [0.5, 1.5], the path of an unmanned spy plane is described by $r (t) = 〈 - \frac{100}{t^{2}}, 7 - t, 40 - t^{2} 〉$ ?

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Chapter 14 Solutions

Which point in the yz -plane does the laser beam hit if a laser is fired (in the tangential direction) toward the yz -plane at time t = 1. During a short time, interval [0.5, 1.5], the path of an unmanned spy plane is described by r ( t ) = 〈 − 100 t 2 , 7 − t , 40 − t 2 〉 ?

Solution Summary: The author explains how the laser beam hits a point in the yz-plane at time t = 1. The path of an unmanned spy plane is described by r (t 0) = 100

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Which point in the yz-plane does the laser beam hit if a laser is fired (in the tangential direction) toward the yz-plane at time t = 1. During a short time, interval [0.5, 1.5], the path of an unmanned spy plane is described by r(t)=〈−100t2,7−t,40−t2〉?

Want to see the full answer?

Chapter 14 Solutions

Which point in the yz-plane does the laser beam hit if a laser is fired (in the tangential direction) toward the yz-plane at time t = 1. During a short time, interval [0.5, 1.5], the path of an unmanned spy plane is described by $r (t) = 〈 - \frac{100}{t^{2}}, 7 - t, 40 - t^{2} 〉$ ?