Register to reply

Find t in a Parametric Equation

Share this thread:
Jimerd
#1
Feb27-12, 08:24 PM
P: 5
1. The problem statement, all variables and given/known data
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

x = 6 cos t, y = 6 sin t, z = 6 cos 2t; (3√3, 3, 3)

2. Relevant equations



3. The attempt at a solution

So I understand that r(t)= 6cost t, 6sint, 6cos2t

and r'(t)= -6sint, 6cost, -12sin2t

So here is the questions, how do I find what the value of t is at points (3√3, 3, 3)
Phys.Org News Partner Science news on Phys.org
World's largest solar boat on Greek prehistoric mission
Google searches hold key to future market crashes
Mineral magic? Common mineral capable of making and breaking bonds
SammyS
#2
Feb27-12, 08:35 PM
Emeritus
Sci Advisor
HW Helper
PF Gold
P: 7,800
Quote Quote by Jimerd View Post
1. The problem statement, all variables and given/known data
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

x = 6 cos t, y = 6 sin t, z = 6 cos 2t; (3√3, 3, 3)

2. Relevant equations

3. The attempt at a solution

So I understand that r(t)= 6cost t, 6sint, 6cos2t

and r'(t)= -6sint, 6cost, -12sin2t

So here is the questions, how do I find what the value of t is at points (3√3, 3, 3)
Solve (6cost t, 6sint, 6cos2t) = (3√3, 3, 3) for t .


Register to reply

Related Discussions
Find Parametric Equation for Line Parallel to Two Planes Precalculus Mathematics Homework 7
Find parametric equation for ellipse Calculus & Beyond Homework 1
How would I find a vector parametric equation through these points? Calculus & Beyond Homework 7
Find the parametric equation of y = cos x with max at (3, 5) Calculus & Beyond Homework 2
Find the area enclosed by the curve (parametric equation) Introductory Physics Homework 5