d dri(t) • r2(t)] = d [ri(t) × r2(t)] dt ||

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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Question
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
d
dr2, dri
ri(t) · r2(t)] = r¡(t) ·
r2(t) and
dt
dt
dr2
d
ri(t) x r2(t)] = r¡(t) ×
dri
x r2(t).
dt
dt
dt
ri(t)
2ti + 2t²j + 3t°k,
r2(t) = t*k
(t) - ra(t)] =|
• r2
d
[r(t) x r2(t)]
dt
Transcribed Image Text: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 d dr2, dri ri(t) · r2(t)] = r¡(t) · r2(t) and dt dt dr2 d ri(t) x r2(t)] = r¡(t) × dri x r2(t). dt dt dt ri(t) 2ti + 2t²j + 3t°k, r2(t) = t*k (t) - ra(t)] =| • r2 d [r(t) x r2(t)] dt
|r'(t) × r"(t)||
Use the formula k(t) =
to find k(t).
||r(t)||*
3
r(t) = t’i + t'"j
K(t):
Transcribed Image Text:|r'(t) × r"(t)|| Use the formula k(t) = to find k(t). ||r(t)||* 3 r(t) = t’i + t'"j K(t):
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