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d. dt d Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d r:(t) - r2(t)] = r1(t) - dr2, dri + dt r2(t) and dt dt d dr2 dri r:(t) x r2(t)] = r:(t) × x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 5tk, r2(t) = 4i + tk d. [r1(t) - r2(t)] =| 10 t – 4 sin(t) dt d [ri(t) x r2(t)] =| i (sin(t) + cos(t)) – j (cos(t) – t sin(t) – 20) – k - 4 cos(t)

d. dt d Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d r:(t) - r2(t)] = r1(t) - dr2, dri + dt r2(t) and dt dt d dr2 dri r:(t) x r2(t)] = r:(t) × x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 5tk, r2(t) = 4i + tk d. [r1(t) - r2(t)] =| 10 t – 4 sin(t) dt d [ri(t) x r2(t)] =| i (sin(t) + cos(t)) – j (cos(t) – t sin(t) – 20) – k - 4 cos(t)

Calculus: Early Transcendentals
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. dt d Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d r:(t) - r2(t)] = r1(t) - dr2, dri + dt r2(t) and dt dt d dr2 dri r:(t) x r2(t)] = r:(t) × x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 5tk, r2(t) = 4i + tk d. [r1(t) - r2(t)] =| 10 t – 4 sin(t) dt d [ri(t) x r2(t)] =| i (sin(t) + cos(t)) – j (cos(t) – t sin(t) – 20) – k - 4 cos(t)
Transcribed Image Text:d. dt d Calculate ri(t) - r2(t)] and ri(t) x r2(t)] first by differentiating dt the product directly and then by applying the formulas d r:(t) - r2(t)] = r1(t) - dr2, dri + dt r2(t) and dt dt d dr2 dri r:(t) x r2(t)] = r:(t) × x r2(t). dt dt dt ri(t) = cos(t)i + sin(t)j + 5tk, r2(t) = 4i + tk d. [r1(t) - r2(t)] =| 10 t – 4 sin(t) dt d [ri(t) x r2(t)] =| i (sin(t) + cos(t)) – j (cos(t) – t sin(t) – 20) – k - 4 cos(t)
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