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d d Calculate[ri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating the product directly and then by applying the formulas d dr₂ dr₁ [r₁(t) · r₂(t)] = r₁(t) · + r₂(t) and dt dt dt d dr₂ dri [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = 6ti + 4t²j + 5t³k, r₂(t) = t¹k d [r₁(t) r₂(t)] = 24 t5 i 30 tj · - X dt d [r₁(t) × r₂(t)] = 24 t³ i 30 tj - dt

d d Calculate[ri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating the product directly and then by applying the formulas d dr₂ dr₁ [r₁(t) · r₂(t)] = r₁(t) · + r₂(t) and dt dt dt d dr₂ dri [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt dt r₁(t) = 6ti + 4t²j + 5t³k, r₂(t) = t¹k d [r₁(t) r₂(t)] = 24 t5 i 30 tj · - X dt d [r₁(t) × r₂(t)] = 24 t³ i 30 tj - dt

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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answer s partially correct. d d Calculate[ri(t) r2(t)] and [r1(t) × r²(t)] first by differentiating - the product directly and then by applying the formulas d dr₂ dr₁ [r₁(t) · r₂(t)] = r₁(t). + r₂(t) and dt dt d.t d dr₂ dri [r₁(t) × r₂(t)] = r₁(t) x + x r₂(t). dt dt dt r₁(t) = 6ti + 4t²j + 5t³k, r₂(t) = t¹k d [ri(t) r₂(t)] 24 t5i - 30 tj X dt d [r₁(t) × r2(t)] = 24 t³ i – 30 tª j JM-di- = Edit
Transcribed Image Text:answer s partially correct. d d Calculate[ri(t) r2(t)] and [r1(t) × r²(t)] first by differentiating - the product directly and then by applying the formulas d dr₂ dr₁ [r₁(t) · r₂(t)] = r₁(t). + r₂(t) and dt dt d.t d dr₂ dri [r₁(t) × r₂(t)] = r₁(t) x + x r₂(t). dt dt dt r₁(t) = 6ti + 4t²j + 5t³k, r₂(t) = t¹k d [ri(t) r₂(t)] 24 t5i - 30 tj X dt d [r₁(t) × r2(t)] = 24 t³ i – 30 tª j JM-di- = Edit
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