4. Arc Length and Unit Tangent Vectors: a. Calculate the length of the curve 7(t) = 4 sin(t) i + 3tj + 4cos (t)k from 0 sts 2n. b. Verify this calculation by using GeoGebra (hint there is a function in GeoGebra to calculate arc length). c. Calculate the unit tangent vector for part a. at the point when t = d. Graph the curve in part a. using GeoGebra, also eraph the unit tangent vector in part c.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section4.1: Basic Graphs
Problem 49PS
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4. Arc Length and Unit Tangent Vectors:
a. Calculate the length of the curve 7(t) = 4 sin(t) i + 3tj + 4cos (t)k from 0 sts 2n.
b. Verify this calculation by using GeoGebra (hint there is a function in GeoGebra to
calculate arc length).
c. Calculate the unit tangent vector for part a. at the point whent =
d. Graph the curve in part a. using GeoGebra, also graph the unit tangent vector in part c.
Transcribed Image Text:4. Arc Length and Unit Tangent Vectors: a. Calculate the length of the curve 7(t) = 4 sin(t) i + 3tj + 4cos (t)k from 0 sts 2n. b. Verify this calculation by using GeoGebra (hint there is a function in GeoGebra to calculate arc length). c. Calculate the unit tangent vector for part a. at the point whent = d. Graph the curve in part a. using GeoGebra, also graph the unit tangent vector in part c.
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