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?
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?
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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?
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