(e' cos t, et sin t, et), the Show that for every point on the curve 7(t) angle between the unit tangent vector T(t) and the z-axis is the same. Show that the same is true for the normal and binormal vectors N (t) and B(t). Write a sentence explaining what this tells you about the graph of the curve.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 38E: Information on curve in Exercise 37-40, as well as many other curves, is available on the Famous...
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Show that for every point on the curve 7(t)
= (e* cos t, e' sin t, e'), the
angle between the unit tangent vector T(t) and the z-axis is the same.
Show that the same is true for the normal and binormal vectors N(t) and
B(t). Write a sentence explaining what this tells you about the graph of
the curve.
Transcribed Image Text:Show that for every point on the curve 7(t) = (e* cos t, e' sin t, e'), the angle between the unit tangent vector T(t) and the z-axis is the same. Show that the same is true for the normal and binormal vectors N(t) and B(t). Write a sentence explaining what this tells you about the graph of the curve.
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