d d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [r(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2, dri ri(t) - r2(t)] = ri(t) - r2(t) and dt dt dt d [r:(t) × r2(t)] = r:(t) × dr2, dri x r2(t). dt dt dt r(t) = cos(t)i + sin(t)j + 5tk, r2(t) = 4i + tk d. [r(t) - r2(t)] dt d [ri(t) × r2(t)] =
d d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [r(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2, dri ri(t) - r2(t)] = ri(t) - r2(t) and dt dt dt d [r:(t) × r2(t)] = r:(t) × dr2, dri x r2(t). dt dt dt r(t) = cos(t)i + sin(t)j + 5tk, r2(t) = 4i + tk d. [r(t) - r2(t)] dt d [ri(t) × r2(t)] =
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 31E
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Question
![d
d
Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating
[r(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
dr2, dri
ri(t) - r2(t)] = ri(t)
- r2(t) and
dt
dt
dt
d
[r:(t) × r2(t)] = r:(t) ×
dr2, dri
x r2(t).
dt
dt
dt
r(t) = cos(t)i + sin(t)j + 5tk, r2(t) = 4i + tk
d.
[r(t) - r2(t)]
dt
d
[ri(t) × r2(t)] =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb26880f-3c26-47a6-a40b-024128ef31c4%2F460b2fbe-0053-4919-8c0e-40f3379af3ee%2F4bz3yx8_processed.png&w=3840&q=75)
Transcribed Image Text:d
d
Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating
[r(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
dr2, dri
ri(t) - r2(t)] = ri(t)
- r2(t) and
dt
dt
dt
d
[r:(t) × r2(t)] = r:(t) ×
dr2, dri
x r2(t).
dt
dt
dt
r(t) = cos(t)i + sin(t)j + 5tk, r2(t) = 4i + tk
d.
[r(t) - r2(t)]
dt
d
[ri(t) × r2(t)] =
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