A point is moving along a curve that is given as: R() = (cos 31)i + (sin 31)j + (3r)k. Find: a) The derivative of the function f(x, y, z)= xyz in the direction of the velocity vector of the given curve at 1¹= π/3. b) How far does the point travel along its path from t= 0 to t = 2m.
A point is moving along a curve that is given as: R() = (cos 31)i + (sin 31)j + (3r)k. Find: a) The derivative of the function f(x, y, z)= xyz in the direction of the velocity vector of the given curve at 1¹= π/3. b) How far does the point travel along its path from t= 0 to t = 2m.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 34CR
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Transcribed Image Text:Q4. A point is moving along a curve that is given as: R(1) = (cos 31)i + (sin 31)j + (31)k. Find:
a) The derivative of the function f(x, y, z)= xyz in the direction of the velocity vector of
the given curve at t= π/3.
b) How far does the point travel along its path from t=0 to t = 2.
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