(6) 6. 1 y z = -t Resolute Rebecca believes she is limitless moving forward along her path! Determine if she is right by finding the limit as she approaches 1 = 0 on her position curve defined by r(t) = f²i+3tj+(¹ -cost t

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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(6) 6.
z = -t
Resolute Rebecca believes she is limitless moving forward along her
path! Determine if she is right by finding the limit as she approaches
t = 0 on her position curve defined by r(t)=t²i+3tj+
1-cost
k
t
Transcribed Image Text:(6) 6. z = -t Resolute Rebecca believes she is limitless moving forward along her path! Determine if she is right by finding the limit as she approaches t = 0 on her position curve defined by r(t)=t²i+3tj+ 1-cost k t
r
11
e
T
(8) 7. a) Sketch the curve traced out by r(t) = (3 cost, 2 sint, -2)
X
TC
b) Sketch the position vector and tangent vector to the curve at t == 2
Z
y
Reckless Rebecca decides to take up skydiving and jump from an
acrobatic plane flying along the path given by r(t) = (4t,3,3t²)
She chickens out and plans to jump when the path's curvature is 0.
How long after take-off does she jump?
(8) 8.
Transcribed Image Text:r 11 e T (8) 7. a) Sketch the curve traced out by r(t) = (3 cost, 2 sint, -2) X TC b) Sketch the position vector and tangent vector to the curve at t == 2 Z y Reckless Rebecca decides to take up skydiving and jump from an acrobatic plane flying along the path given by r(t) = (4t,3,3t²) She chickens out and plans to jump when the path's curvature is 0. How long after take-off does she jump? (8) 8.
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