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< > d Calculate dt [ri(t) · r₂(t)] and [ri(t) × r₂(t)] first by differentiating . dt 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) × ri(t) + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j + 4tk, r₂(t) = 3i + tk -[r₁(t) · r2(t)] : = [r₁(t) × r₂(t)] = Question 4 of 8 dt .

< > d Calculate dt [ri(t) · r₂(t)] and [ri(t) × r₂(t)] first by differentiating . dt 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) × ri(t) + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j + 4tk, r₂(t) = 3i + tk -[r₁(t) · r2(t)] : = [r₁(t) × r₂(t)] = Question 4 of 8 dt .

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter55: Introduction To Circles
Section: Chapter Questions
Problem 24A: Solve the following exercises based on Principles 11-14, although an exercise may require the...
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Question 4 of 8 < > d Calculate [ri(t) · r₂(t)] and r . [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2 dr₁ ¿[r₁(t) · r2(t)] = r₁(t) · + . r₂(t) and dt dt dt dr₂ dr₁ -[r₁(t) × r₂(t)] = r₁(t) × ri(t) + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j + 4tk, r₂(t) = 3i + tk -[r₁(t) · r2(t)] : = [ [r₁(t) × r₂(t)] = dt .
Transcribed Image Text:Question 4 of 8 < > d Calculate [ri(t) · r₂(t)] and r . [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and then by applying the formulas d dr2 dr₁ ¿[r₁(t) · r2(t)] = r₁(t) · + . r₂(t) and dt dt dt dr₂ dr₁ -[r₁(t) × r₂(t)] = r₁(t) × ri(t) + x r₂(t). dt dt dt r₁(t) = cos(t)i + sin(t)j + 4tk, r₂(t) = 3i + tk -[r₁(t) · r2(t)] : = [ [r₁(t) × r₂(t)] = dt .
Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when needed. r(t) = cos(πt)i - ln(t)j + √t − 8k; to = 9 Domain is: Choose one NOTE: Enter your answer in terms of i, j, and k. r(9) =
Transcribed Image Text:Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when needed. r(t) = cos(πt)i - ln(t)j + √t − 8k; to = 9 Domain is: Choose one NOTE: Enter your answer in terms of i, j, and k. r(9) =
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