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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095

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Calculus

10th Edition
Ron Larson + 1 other
ISBN: 9781285057095
Textbook Problem
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Finding CurvatureIn Exercises 23–28, find the curvature of the plane curve at the given value of the parameter.

r ( t ) = 4 t i 2 t j , t = 1

To determine

To calculate: The curvature of the plane curve at the given value of the parameter r(t)=4 t i2 t jt=1.

Explanation

Given:

The curve is r(t)=4 t i2 t jt=1.

Formula Used:

The curvature of the curve at t as: K=T(t)r(t) where T(t)=r(t)r(t).

Calculation:

Consider the provided curve,

r(t)=4 t i2 t j

Now, differentiate the provided curve r(t) and find the absolute value of r(t),

r(t)=4 i2 j

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