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Find the length of the curve y²=4(x 4)³

User Jamisha
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Final answer:

The length of the curve y²=4(x-4)³ can be found using calculus and the arc length integral formula, however specific bounds are necessary to solve for a numerical result.

Step-by-step explanation:

To find the length of the curve y²=4(x-4)³, one would typically need to use calculus, specifically arc length integrals. However, your question doesn't provide specific bounds for x or y, which are necessary to compute the definite integral for arc length. If you can provide these bounds, the integral for arc length in Cartesian coordinates is given by:

L = ∫ √(1+(dy/dx)²) dx

First, we would differentiate y with respect to x, square the result, add one, take the square root of this sum, and then integrate over the specified interval.

A complete solution requires more detailed information, including the specific interval over which you want to find the length of the curve. Without these details, we can't provide a numerical answer. Remember, specifying the domain of x or the range of y is crucial for finding a concrete solution to this problem.

User Clemzd
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