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Chapter 11: Q. 3 (page 889)

Define what it means for a curve to be parametrized by arc length

Short Answer

Expert verified

The length of every segment of the curve is equal to the change in the value of the parameter.

Step by step solution

01

Step 1. Given information.

We have to define what it means for a curve to be parametrized by arc length.

02

Strep 2. Definition

The curve is parametrized by arc length is, the length of every segment of the curve is equal to the change in the value of the parameter i.e. every unit change in the parameter results in a unit change along the curve.

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Find and graph the vector function determined r(t)=鉄�x(t),y(t)鉄�by the differential equation

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