d.dCalculate ri(t) · r2(t)] anddt[ri(t) x r2(t)] first by differentiatingdtthe product directly and then by applying the formulasd.dr2drir:(t) · r2(t)] = r:(t) -· r2(t) anddtdtdtddr2dri[r:(t) x r2(t)] = r:(t) ×dtx r2(t).dtdtri(t) = 4ti + 7t'j+t°k, r2(t) = t*kdiri(t) • r<{t})] = [· r2(t)]d[ri(t) × r2(t)] =

Answered: Image /qna-images/answer/aa639bd9-07be-4624-9742-d94ba1a075a8.jpg

d d Calculate r (t) · r2(t)] and r (t) x r3(t)] first by differentiating [ri(t) x r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dr2 + dt dri · r2(t) and d ri(t) · r2(t)] = r1(t) - dt dt d dr2 dri [ri(t) x r2(t)] = ri(t) × dt x r2(t). dt dt ri(t) = 4ti + 7t°j+t°k, r2(t) = t'k d [ri(t) · r2(t)] = dt d [r(t) × r2(t)] = dt

d d Calculate r (t) · r2(t)] and r (t) x r3(t)] first by differentiating [ri(t) x r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dr2 + dt dri · r2(t) and d ri(t) · r2(t)] = r1(t) - dt dt d dr2 dri [ri(t) x r2(t)] = ri(t) × dt x r2(t). dt dt ri(t) = 4ti + 7t°j+t°k, r2(t) = t'k d [ri(t) · r2(t)] = dt d [r(t) × r2(t)] = dt

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.4: Zeros Of A Polynomial

Problem 30E

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