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