d d alculate dt r:(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt ne product directly and then by applying the formulas dr2 , dri [r\(t) · r2(t)] = r1(t) · = ri(t) dt r2(t) and dt [ri(t) x r2(t)] = r(t) × dr2, dri + dt x r2(t). dt ri(t) = 8ti + 2t°j + 6t°k, r2(t) = t*k %3D [ri(t) r2(t)] = -[ri(t) × r2(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
Calculate r1(t) · r2(t)] and
dt
[ri(t) × r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
dr2
dri
d
[ri(t) r2(t)] = r1(t) ·
r2(t) and
dt
dt
dt
[ri(t) × r2(t)] = ri(t) ×
dt
d
dr2
dri
x r2(t).
dt
r1(t) = 8ti + 2t²j+6t°k, _r2(t) = t*k
[r:(t) · r2(t)]
dt
[ri(t) × r2(t)] =
dt
Transcribed Image Text:d Calculate r1(t) · r2(t)] and dt [ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas dr2 dri d [ri(t) r2(t)] = r1(t) · r2(t) and dt dt dt [ri(t) × r2(t)] = ri(t) × dt d dr2 dri x r2(t). dt r1(t) = 8ti + 2t²j+6t°k, _r2(t) = t*k [r:(t) · r2(t)] dt [ri(t) × r2(t)] = dt
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