#5 Given r(t) = (x(t), y(t)) = (4 sint, -3 cost- a) Find the tangent vector when "t=to=3π/4 (b) Find the point Po on the curve, when to =3π/2 (c) Sketch the curve r(t) in the xy-plane, the Point Po, and the tangent vector (from part (a)) applie applied at Po variablet
#5 Given r(t) = (x(t), y(t)) = (4 sint, -3 cost- a) Find the tangent vector when "t=to=3π/4 (b) Find the point Po on the curve, when to =3π/2 (c) Sketch the curve r(t) in the xy-plane, the Point Po, and the tangent vector (from part (a)) applie applied at Po variablet
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Related questions
Question
Transcribed Image Text:#5 Given (t)=(x(t), y(t) = (4sint, -3 cost)
(a) Find the tangent vector when
't=to=3π/4 (b) Find the
point Po on the curve, when to =3π/4
Sketch the curve r(t) in the
xy-plane, the Point Po, and the
tangent vector (from part (a)) applia
applied at Po
(4) Eliminate the variablet
and write an
in
equation of the
carve in part (a) Solely
cartesian coordinates x, y,
(e) Using (d), find (in the plane)
the normal vector n to the
curve, at the point Po (from mart
and sketchn, applied at Po.
x
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 12 images
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning