Question

The length of the sub tangent at (2, 2) to
the curve x5 = 2y4 i​

Answer 1

Answer:

8/5

Explanation:

Given, 2y^4 =x^5

On differentiating with respect to x, we get

8y ^3  dy/dx=5x ^4

⇒( dy/dx )  (2,2) =  5(2)^4/8(2)^3=5/4

 ∴ Length of subtangent = y/dy/dx=2/5/4=2 x 4/5=8/5

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