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Calculate[ri(t) · r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas d ;[r₁(t) · r2(t)] = r₁(t) · . dt d dt dr₂ dr₁ + dt dt dr₂ dr₁ [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt = ƒ[r₁(t) · r2(t)] = dt . · r₂(t) and r₁(t) = 4ti + 3t²j+6t³k, r₂(t) = tªk d[r₁(t) × r₂(t)] =

Calculate[ri(t) · r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas d ;[r₁(t) · r2(t)] = r₁(t) · . dt d dt dr₂ dr₁ + dt dt dr₂ dr₁ [r₁(t) × r₂(t)] = r₁(t) × + x r₂(t). dt dt = ƒ[r₁(t) · r2(t)] = dt . · r₂(t) and r₁(t) = 4ti + 3t²j+6t³k, r₂(t) = tªk d[r₁(t) × r₂(t)] =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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d Calculate [ri(t) · r2(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr₂ dri ;[r₁(t) · r2(t)] = r₁(t). + r₂(t) and dt dt dt d dr₂ =[r₁(t) × r₂(t)] = r₁(t) × + dt d dt dri dt dt -[r₁(t) · r2(t)] = r₁(t) = 4ti + 3t²j + 6t³k, r₂(t) = t¹k d -[r₁(t) × r₂(t)] = [ dt x r₂(t).
Transcribed Image Text:d Calculate [ri(t) · r2(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr₂ dri ;[r₁(t) · r2(t)] = r₁(t). + r₂(t) and dt dt dt d dr₂ =[r₁(t) × r₂(t)] = r₁(t) × + dt d dt dri dt dt -[r₁(t) · r2(t)] = r₁(t) = 4ti + 3t²j + 6t³k, r₂(t) = t¹k d -[r₁(t) × r₂(t)] = [ dt x r₂(t).
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