9. Let C be the line segment connecting the point p =(1, 2, 0) to the point q = (0, 1, -1). (a) Find a curve c(t): [a, b] → R³ that traces out C. (b) Find the arc length of c(t). (c) Find ||pq|l.
9. Let C be the line segment connecting the point p =(1, 2, 0) to the point q = (0, 1, -1). (a) Find a curve c(t): [a, b] → R³ that traces out C. (b) Find the arc length of c(t). (c) Find ||pq|l.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
Question
Find the arc length of the given curve on the specified interval, and evaluate the integral.
![9. Let C be the line segment connecting the point
p =(1, 2, 0) to the point q = (0, 1, -1).
(a) Find a curve c(t): [a, b] → R³ that traces out C.
(b) Find the arc length of c(t).
(c) Find ||pq|l.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e53cf2c-4bf5-4ccd-bd0e-fb990a97eda5%2Fffaef791-a171-4d0b-a4ee-05efbf0acbd1%2F3ksv9u4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. Let C be the line segment connecting the point
p =(1, 2, 0) to the point q = (0, 1, -1).
(a) Find a curve c(t): [a, b] → R³ that traces out C.
(b) Find the arc length of c(t).
(c) Find ||pq|l.
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