Question

Find a parametrization $x = x(t)$, $y = y(t)$, $t \in [0, 1]$ for the line segment from $(10, 3)$ to $(-6, -10)$. a) $x(t) = 13t + 10$, $y(t) = 16t + 3$ b) $x(t) = -16t + 10$, $y(t) = -13t + 3$ c) $x(t) = 16t + 10$, $y(t) = 13t + 3$ d) $x(t) = -16t + 10$, $y(t) = 3 - 12t$ e) $x(t) = 10 + 15t$, $y(t) = -13t + 3$

          Find a parametrization $x = x(t)$, $y = y(t)$, $t \in [0, 1]$ for the line segment from $(10, 3)$ to $(-6, -10)$.
a) $x(t) = 13t + 10$, $y(t) = 16t + 3$
b) $x(t) = -16t + 10$, $y(t) = -13t + 3$
c) $x(t) = 16t + 10$, $y(t) = 13t + 3$
d) $x(t) = -16t + 10$, $y(t) = 3 - 12t$
e) $x(t) = 10 + 15t$, $y(t) = -13t + 3$
        
Show more…
Find a parametrization x = x(t), y = y(t), t ∈ [0, 1] for the line segment from (10, 3) to (-6, -10).
a) x(t) = 13t + 10, y(t) = 16t + 3
b) x(t) = -16t + 10, y(t) = -13t + 3
c) x(t) = 16t + 10, y(t) = 13t + 3
d) x(t) = -16t + 10, y(t) = 3 - 12t
e) x(t) = 10 + 15t, y(t) = -13t + 3

Added by Carolina F.

Close

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Find a parametrization x = x(t), y = y(t), t ∈ [0,1] for the line segment from (10,3) to (-6,-10). Thank you!!! a) x(t) = 13t + 10, y(t) = 16t + 3 b) x(t) = -16t + 10, y(t) = -13t + 3 c) x(t) = 16t + 10, y(t) = 13t + 3 d) x(t) = -16t + 10, y(t) = 3 - 12t e) x(t) = 10 + 15t, y(t) = -13t + 3 Review Later
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Jennifer Stoner
Kathleen Carty verified

Madhur L and 95 other subject Calculus 1 / AB educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
a-parametrization-for-the-line-segment-with-endpoints-07-and-10-is-given-by-o-xt-y-7t-1t0-o-xt-1-y-7t-1t0-o-xt1-y-7t-1-t-0-o-xt1-y-14t-1-t-0-o-xt1-y-7t-0-t-1-60607

Madhur L.

find-parametric-equations-to-represent-the-line-segment-from-23-to-13-9-a-2-15t-y-3-12t-for-0-t-1-b-2-15t-y-3-12t-for0-t-2-c-9-_-15t-y-3-_-12t-for0-t-2-d-215t-y-3-12t-for-0-t-1-e-2-l5t-y-3-_-83336

Find parametric equations to represent the line segment from (-2, 3) to (13, -9). a) x = -2 - 15t; y = 3 - 12t; for 0 <= t <= 1 b) x = -2 - 15t; y = 3 - 12t; for 0 <= t <= 2 c) x = 9 - 15t; y = 3 - 12t; for 0 <= t <= 2 d) x = -2 + 15t; y = 3 - 12t; for 0 <= t <= 1 e) x = 2 + 15t; y = 3 - 12t; for 0 <= t <= 1

Sri K.

find-a-parametrization-xxt-quad-yyt-quad-t-in01-for-the-given-curve-the-line-segment-from-37-to-85

Find a parametrization. $$x=x(t), \quad y=y(t) \quad t \in[0,1]$$ for the given curve. The line segment from (3,7) to (8,5).

Calculus: One Variable

The Conic Sections; Polar Coordinates; Parametric Equations

Curves Given Parametrically


*

Recommended Textbooks

-
Calculus: Early Transcendentals

Calculus: Early Transcendentals

James Stewart 8th Edition
achievement 1,129 solutions
Calculus: Early Transcendentals

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard Gillet 3rd Edition
achievement 1,377 solutions
Thomas Calculus

Thomas Calculus

George B. Thomas Jr. 14th Edition
achievement 1,903 solutions

*

Transcript

-
00:01 Hi here for the given question.
00:03 We need to calculate the line segment with the endpoints 0 comma 7 and 1 comma 0 using the linear interpolation between the two points.
00:14 Now here we will write down this in terms of t.
00:18 So here we know that the value of x of t is equal to 1 minus t multiplied with 0 plus t multiplied with 1 is equal to 2 so here the value will be 0 plus t.
00:35 So here we have x of t is equal to t.
00:39 Similarly y of t will be 1 minus t multiplied with 7 plus t multiplied with 0...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever