Given the vector-valued functions u(t) =ee (t) 5ti+4t2 – k = d + – tk find (u(t) (t)) when t = 1. dt For the curve defined by (t) = 5 cos(t)+5 sin(t)] + 4tk evaluate 8 = = √ || ³ (u)|| du to find the arc length function. 8 = Solve the arc length function for t: Parametrize (t) by arc length by substituting in the solved arc length function. Enter your answer using i, j, and k. = r(s) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Given the vector-valued functions
u(t) =ee
(t) 5ti+4t2 – k
=
d
+
– tk
find (u(t) (t)) when t = 1.
dt
Transcribed Image Text:Given the vector-valued functions u(t) =ee (t) 5ti+4t2 – k = d + – tk find (u(t) (t)) when t = 1. dt
For the curve defined by
(t) = 5 cos(t)+5 sin(t)] + 4tk
evaluate
8 =
= √ || ³ (u)|| du
to find the arc length function.
8 =
Solve the arc length function for t:
Parametrize (t) by arc length by substituting in the solved arc length function. Enter your answer
using i, j, and k.
=
r(s) =
Transcribed Image Text:For the curve defined by (t) = 5 cos(t)+5 sin(t)] + 4tk evaluate 8 = = √ || ³ (u)|| du to find the arc length function. 8 = Solve the arc length function for t: Parametrize (t) by arc length by substituting in the solved arc length function. Enter your answer using i, j, and k. = r(s) =
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