Question
Asked Feb 13, 2020
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The parametric equations x= 8 − 6 sin 3t and y = 8 + 6 cos 3 t for 0 ≤ t ≤ π/4 represent a curve C.

Find the length L of the curve C.
L =

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Expert Answer

Step 1

Given:

Parametric equations

Calculus homework question answer, step 1, image 1

Formula used

Calculus homework question answer, step 1, image 2

 

Step 2

The length of the curve is given by

Differentiate equation (1) and (2)  with respect to t

Calculus homework question answer, step 2, image 1

 

Step 3

Put all these values in the formula

Calculus homework question answer, step 3, image 1

 

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