I+t #1 Let r(t)=(x(t), y(t), z(t)) = (1-{², t- ½, ±). (a) Find the moment of time to and the point Po on the curve r(t) when the tangent line to the curve is perpendicular to the plane z=8x-8y+9. Hint. The tangent vector v(t) = r' (to) to the curve must be parallel to the normal vector n to the given plane, hence one of these two vectors is a scalar multiple of the other. Set and solve a system of equations to find to first. (b) Find the tangent line as in part (a).
I+t #1 Let r(t)=(x(t), y(t), z(t)) = (1-{², t- ½, ±). (a) Find the moment of time to and the point Po on the curve r(t) when the tangent line to the curve is perpendicular to the plane z=8x-8y+9. Hint. The tangent vector v(t) = r' (to) to the curve must be parallel to the normal vector n to the given plane, hence one of these two vectors is a scalar multiple of the other. Set and solve a system of equations to find to first. (b) Find the tangent line as in part (a).
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter6: Rates Of Change
Section6.1: Velocity
Problem 12SBE
Related questions
Question
what's the final answer to a and b?
![I+t
#1 Let r(t)=(x(t), y(t), z(t)) = (1-{², t- ½, ±).
(a) Find the moment of time to and
the point Po on the curve r(t) when the
tangent line to the curve is perpendicular
to the plane z=8x-8y+9. Hint.
The tangent vector v(t) = r' (to) to the
curve must be parallel to the normal
vector n to the given plane, hence
one of these two vectors is a scalar
multiple of the other. Set and solve
a system of equations to find to first.
(b) Find the tangent line as in part (a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac50b8d8-ed5e-4222-adea-45a3db4f7b39%2F84a8a58b-76b4-4f6e-8e2b-0ea139d7a555%2Fn4wzdxw_processed.png&w=3840&q=75)
Transcribed Image Text:I+t
#1 Let r(t)=(x(t), y(t), z(t)) = (1-{², t- ½, ±).
(a) Find the moment of time to and
the point Po on the curve r(t) when the
tangent line to the curve is perpendicular
to the plane z=8x-8y+9. Hint.
The tangent vector v(t) = r' (to) to the
curve must be parallel to the normal
vector n to the given plane, hence
one of these two vectors is a scalar
multiple of the other. Set and solve
a system of equations to find to first.
(b) Find the tangent line as in part (a).
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