Compute the length of the curve r(t) = 4ti + 5t j + (t² + 7) k over the interval 0 ≤ t ≤ 5. HINT: use the formula L = √ √₁² + a² dt = 1/² t√t² + a² + 1₂ a²ln (t + √√₁² + a²) + C In 2 2

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Compute the length of the curve r(t) = 4ti + 5tj + (t² + 7) k over the interval 0 ≤ t ≤ 5.
HINT: use the formula
L=
[√₁²³ + a² dt = 1/2 t√²³² + a² + 12 a²m (t
a² ln (t + √t² + a² + C
Transcribed Image Text:Compute the length of the curve r(t) = 4ti + 5tj + (t² + 7) k over the interval 0 ≤ t ≤ 5. HINT: use the formula L= [√₁²³ + a² dt = 1/2 t√²³² + a² + 12 a²m (t a² ln (t + √t² + a² + C
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