d. [r:(t) r2(t)] and r:(t) x r2(t)] first by differentiating d Calculate dt the product directly and then by applying the formulas dt dri •r2(t) and dt dr2 d (t) - r2(t)] = r1(t) · dt dt d. dr2 , dri [r(t) × r2(t)] = r:(t) × dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j + 7tk, r2(t) = 6i + tk d. [ri(t) · r2(t)] = dt [r:(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 30E
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d.
d
Calculate r1(t) · r2(t)] and [r1(t) × r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
dt
d
[r:(t) · r2(t)] = r1(t) ·
dr2
dri
+
dt
•r2(t) and
dt
dt
d.
dr2
dri
[r(t) x r2(t)] = r1(t) ×
dt
x r2(t).
dt
dt
ri(t) = cos(t)i + sin(t)j + 7tk, r2(t) = 6i + tk
d.
[r1(t) · r2(t)]
dt
d
[ri(t) x r2(t)]:
dt
Transcribed Image Text:d. d Calculate r1(t) · r2(t)] and [r1(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas dt d [r:(t) · r2(t)] = r1(t) · dr2 dri + dt •r2(t) and dt dt d. dr2 dri [r(t) x r2(t)] = r1(t) × dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j + 7tk, r2(t) = 6i + tk d. [r1(t) · r2(t)] dt d [ri(t) x r2(t)]: dt
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