Vector-valued Functions 5 different types of curves. These may include quadradic, cubic, and sinusoidal curves, to name a few. There can be no two with the same shape. All curves must be 3-d. That is, no component can be a constant. No lines can be used. To name them, use a vector-valued function, r→(t)= and the 3 components x, y and z 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

Vector-valued Functions 5 different types of curves. These may include quadradic, cubic, and sinusoidal curves, to name a few. There can be no two with the same shape. All curves must be 3-d. That is, no component can be a constant. No lines can be used. To name them, use a vector-valued function, r→(t)= and the 3 components x, y and z 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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.5: Systems Of Linear Equations In More Than Two Variables

Problem 30E

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Vector-valued Functions

5 different types of curves. These may include quadradic, cubic, and sinusoidal curves, to name a few. There can be no two with the same shape.
All curves must be 3-d. That is, no component can be a constant.
No lines can be used.
To name them, use a vector-valued function,
r→(t)=
and the 3 components x, y and z
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.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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