• A minimum of five different types of curves. These may include linear, quadradic, cubic, and sinusoidal curves, to name a few. There can be no two with the same shape. • To name them, use a vector-valued function, 7 (t). None of the components can be constant. • For each curve, you must set up the integral that will calculate the length, even if you can find a formula for length. • Then estimate the length of the curve to the nearest hundredth. You do not need to show work for the calculations. You may use an integral calculator.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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do this for a linear curve only 

and create a picture using geogebra 

write clear please thank you

 

40
The function describing the track is:
f(t) = (6t + 4,4t – 5,49 – t2) with t e[-7,7]
The length of the track is found by the integral:
/36 + 16 + 4t2dt
-7
The track is about 147.08 feet long.
Transcribed Image Text:40 The function describing the track is: f(t) = (6t + 4,4t – 5,49 – t2) with t e[-7,7] The length of the track is found by the integral: /36 + 16 + 4t2dt -7 The track is about 147.08 feet long.
A minimum of five different types of curves. These may include linear,
quadradic, cubic, and sinusoidal curves, to name a few. There can be no
two with the same shape.
• To name them, use a vector-valued function, 7 (t). None of the
components can be constant.
• For each curve, you must set up the integral that will calculate the length,
even if you can find a formula for length.
• Then estimate the length of the curve to the nearest hundredth. You do
not need to show work for the calculations. You may use an integral
calculator.
Transcribed Image Text:A minimum of five different types of curves. These may include linear, quadradic, cubic, and sinusoidal curves, to name a few. There can be no two with the same shape. • To name them, use a vector-valued function, 7 (t). None of the components can be constant. • For each curve, you must set up the integral that will calculate the length, even if you can find a formula for length. • Then estimate the length of the curve to the nearest hundredth. You do not need to show work for the calculations. You may use an integral calculator.
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