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Determine whether the given vector functions are linearly dependent or linearly independent on the interval (- 0o, 00). 3t e - 5t sin (2t) e -3t -2t e -3t e -5t sin (2t) e -4t Let x1 = and x2 3t Select the correct choice below, and fill in the answer box to complete your choice. -21 e OA. The vector functions are linearly dependent since there exists at least one point t in I where det[x, (t) x,(t)] is not 0. In fact, defFx, (t) x,(t)] = OB. The vector functions are linearly independent since there exists at least one point t in I where det[x, (t) x2(t)] is 0. In fact, det[x, (t) x2(t)] = OC. The vector functions are linearly dependent since there exists at least one point t in I where det[x, (t) X2(1)] is 0. In fact, detſx, (t) x2(1)]= O D. The vector functions are linearly independent since there exists at least one point t in I where det[x, (t) x2(t)] is not 0. In fact, det x, (t) x2(t)] =_

Determine whether the given vector functions are linearly dependent or linearly independent on the interval (- 0o, 00). 3t e - 5t sin (2t) e -3t -2t e -3t e -5t sin (2t) e -4t Let x1 = and x2 3t Select the correct choice below, and fill in the answer box to complete your choice. -21 e OA. The vector functions are linearly dependent since there exists at least one point t in I where det[x, (t) x,(t)] is not 0. In fact, defFx, (t) x,(t)] = OB. The vector functions are linearly independent since there exists at least one point t in I where det[x, (t) x2(t)] is 0. In fact, det[x, (t) x2(t)] = OC. The vector functions are linearly dependent since there exists at least one point t in I where det[x, (t) X2(1)] is 0. In fact, detſx, (t) x2(1)]= O D. The vector functions are linearly independent since there exists at least one point t in I where det[x, (t) x2(t)] is not 0. In fact, det x, (t) x2(t)] =_

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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Determine whether the given vector functions are linearly dependent or linearly independent on the interval (- o, co). 3t e -5t sin (2t) -2t - 3t e- 5t sin (2t) e Let x1 and x, -3t Select the correct choice below, and fill in the answer box to complete your choice. O A. The vector functions are linearly dependent since there exists at least one point t in I where det[x, (t) x2(t)] is not 0. In fact, deffx, (t) x,(t)] = B. The vector functions are linearly independent since there exists at least one point t in I where det[x, (t) x2(t)] is 0. In fact, det[x, (t) x2(t)] = O C. The vector functions are linearly dependent sinco there exists at least one point t in I where det[x,(t) x2(1)] is 0, In fact, detf x, (t) x2(t)] = O D. The vector functions are linearly independent since there exists at lcast one point t in I where det[x, (t) x2 (t)] is not 0. In fact, det[x, (t) x2 (t)] = O O
Transcribed Image Text:Determine whether the given vector functions are linearly dependent or linearly independent on the interval (- o, co). 3t e -5t sin (2t) -2t - 3t e- 5t sin (2t) e Let x1 and x, -3t Select the correct choice below, and fill in the answer box to complete your choice. O A. The vector functions are linearly dependent since there exists at least one point t in I where det[x, (t) x2(t)] is not 0. In fact, deffx, (t) x,(t)] = B. The vector functions are linearly independent since there exists at least one point t in I where det[x, (t) x2(t)] is 0. In fact, det[x, (t) x2(t)] = O C. The vector functions are linearly dependent sinco there exists at least one point t in I where det[x,(t) x2(1)] is 0, In fact, detf x, (t) x2(t)] = O D. The vector functions are linearly independent since there exists at lcast one point t in I where det[x, (t) x2 (t)] is not 0. In fact, det[x, (t) x2 (t)] = O O
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