Question
Asked Oct 16, 2019
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find the length of the curve 3y2=4x3 from x=0 to x=8 when y greater than or equal to 0.

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Expert Answer

Step 1

The formula for length of a curve f(x) extending from point a to point b is given as,

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L- dy 1+ dx dx a

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Step 2

Simplify the function to get in the form of y.

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3y2 4x3 4 4 y=+x 3 Since y 0, we take the positive root. 4 2

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Step 3

Compute dy/dx using t...

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2 d d 2 (a) dc 2 d dy dx 3 dr 2 1 - 3x2 2 1 3x dy /3x dx

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Tagged in

Math

Calculus