(a) Find the equation of the tangent line to the parametric curve x = 1 + 3t and y = 2 - t^2 at the point (10, -7).
Added by Angelica T.
Close
Step 1
Given: x = 1 + 3t y = 2 - t^2 dy/dx = dy/dt / dx/dt dy/dt = -2t dx/dt = 3 dy/dx = (-2t) / 3 dy/dx = -2/3 Show more…
Show all steps
Your feedback will help us improve your experience
Sanchit Jain and 85 other Calculus 2 / BC educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 1 + 10√t, y = t² - t, z = t² + t; (11, 0, 2)
Vincenzo Z.
Sahil K.
Find all points (x,y) on the curve x = 6t^2 + 5, y = t^3 - 7 where the tangent line to the curve has a slope of 1/2.
Oswaldo J.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD