d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas dri d dr2 ri(t) · r2(t)] = ri(t) · r2(t) and dt dt dt dr2 dri x r2(t). d [r(t) x r2(t)] = r;(t) x dt dt dt r:(t) = 7ti + 9t²j +4t°k, r2(t) = t*k d [ri(t) · r2(t) : dt d r:(t) x ra(t) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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d
d
Calculate ri(t) · r2(t)] and
dt
ri(t) x r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
dr2
dri
+
dt
d
d ri(t) · r2(t)] = r¡(t) ·
r2(t) and
dt
dr2
d
[ri(t) × r2(t)] = ri(t) x
dri
+
dt
x r2(t).
dt
dt
r1(t) = 7ti + 9tj + 4t°k, r2(t) = t*k
d.
ar:(t) - r2(t)] =
d
[ri(t) x r2(t)] =
dt
Transcribed Image Text:d d Calculate ri(t) · r2(t)] and dt ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas dr2 dri + dt d d ri(t) · r2(t)] = r¡(t) · r2(t) and dt dr2 d [ri(t) × r2(t)] = ri(t) x dri + dt x r2(t). dt dt r1(t) = 7ti + 9tj + 4t°k, r2(t) = t*k d. ar:(t) - r2(t)] = d [ri(t) x r2(t)] = dt
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