dd.Calculate[ri(t) r2(t)] and r₁(t) × r₂(t)] first by differentiatingdtthe product directly and then by applying the formulasddr2 dr₁[r1(t) · r2(t)] = r1(t) ·..+dt dtr₂(t) anddtddr₂ dri[r₁(t) × r₂(t)] = r₁(t) × + x r₂(t).dtdt dtr₁(t) = 8ti + 6t²j+ 6t³k, r₂(t) = t¹kd[r₁(t) · r₂(t)] = 24 t + 18 t6dtdri(t) × r2(t)] = [36 t³ j — 40 tª j-X

Answered: Image /qna-images/answer/bf721cc0-1da3-4fa1-ae7e-b2a819e7ea9a.jpg

d d alculate ——[r₁(t) · r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt he product directly and then by applying the formulas dr₂ dr₁ [r₁(t) · r2(t)] = r₁(t) · + dt dt r₂(t) and d dr₂ dri -[r1(t) × r2(t)] = r1(t) × + × r₂(t). dt dt r₁(t) = 8ti + 6t²j + 6t³k,_r₂(t) = t¹k [r₁(t) · r2(t)] = [24 tº + 18 tº [ri(t) r₂(t)] x r₂(t)] = 36 t5 j - 40 t4 j × X t .

d d alculate ——[r₁(t) · r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt he product directly and then by applying the formulas dr₂ dr₁ [r₁(t) · r2(t)] = r₁(t) · + dt dt r₂(t) and d dr₂ dri -[r1(t) × r2(t)] = r1(t) × + × r₂(t). dt dt r₁(t) = 8ti + 6t²j + 6t³k,_r₂(t) = t¹k [r₁(t) · r2(t)] = [24 tº + 18 tº [ri(t) r₂(t)] x r₂(t)] = 36 t5 j - 40 t4 j × X t .

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...

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