A curve is defined by parametric equations x = t? +t - 1 and y = 2t2 -t + 2 for all t i. Show that A (-1,5) lies on the curve. dy Find dx ii. iii. Find the equation of the tangent to the curve at the point A.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
icon
Related questions
Topic Video
Question
A curve is defined by parametric equations x = t? +t - 1 and y = 2t2 -t + 2 for all t
i.
Show that A (-1,5) lies on the curve.
ii.
Find
dx
dy
iii.
Find the equation of the tangent to the curve at the point A.
Transcribed Image Text:A curve is defined by parametric equations x = t? +t - 1 and y = 2t2 -t + 2 for all t i. Show that A (-1,5) lies on the curve. ii. Find dx dy iii. Find the equation of the tangent to the curve at the point A.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Chain Rule
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage