1. As functions of the parameter t, for each of the curves below, a) y(t) = ((1- t)3 + 1,1+t) and b) B(t) = (2 cos(t), 2 sin(t), t) (a) What is y'(t) the velocity of y? (b) What is ||y'(t)|| the speed of y. (c) What is the unit tangent T?

icon
Related questions
Question
4
1. As functions of the parameter t, for each of the curves below,
a) y(t) = ((1- t)³ +1,1+ t) and
b) B(t) = (2 cos(t), 2 sin(t), t)
(a) What is y'(t) the velocity of y?
(b) What is ||y'(t)|| the speed of y.
(c) What is the unit tangent T?
(d) What is the unit normal, N?
(e) What is
K,
the curvature?
Transcribed Image Text:1. As functions of the parameter t, for each of the curves below, a) y(t) = ((1- t)³ +1,1+ t) and b) B(t) = (2 cos(t), 2 sin(t), t) (a) What is y'(t) the velocity of y? (b) What is ||y'(t)|| the speed of y. (c) What is the unit tangent T? (d) What is the unit normal, N? (e) What is K, the curvature?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer