Consider the following. Find r'(t). r'(t) = r(t) = ( 6t, t², 1/2+³) Find Ir'(t) for 0 ≤ t ≤ 1. |r' (t) = = Find the length of the curve. r(t) = (6t, t2, 1 / 2³) 0 ≤ t ≤ 1

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
Section4.4: Derivatives Of Exponential Functions
Problem 23E: Find derivatives of the functions defined as follows. fz=2z+e-z22
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Consider the following.
Find r'(t).
r'(t) =
1- (66, 2², 1/ 2²³)
r(t) =
Find Ir'(t) for 0 ≤ t ≤ 1.
|r'(t) =
Find the length of the curve.
) = (st, 12², 1/1 1³).
r(t) =
0 ≤ t ≤ 1
Transcribed Image Text:Consider the following. Find r'(t). r'(t) = 1- (66, 2², 1/ 2²³) r(t) = Find Ir'(t) for 0 ≤ t ≤ 1. |r'(t) = Find the length of the curve. ) = (st, 12², 1/1 1³). r(t) = 0 ≤ t ≤ 1
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