For the cartesian curve y=f(x) with s as arc length which of the following condition holds good?

Question

For the cartesian curve y=f(x) with  s  as arc length which of the following condition holds good?

TuteeHUB · Accepted Answer

(  frac{d^2s}{dx^2} =   sqrt{1-(  frac{dy}{dx})^2}  )

TuteeHUB · Answer

(  frac{ds}{dx} =   sqrt{1+(  frac{dy}{dx})^2}  )

TuteeHUB · Answer

(  frac{d^2s}{dx^2} =   sqrt{1-(  frac{dy}{dx})^2}  )

TuteeHUB · Answer

(  frac{dy}{dx} =   sqrt{1+(  frac{ds}{dx})^2}  )

TuteeHUB · Answer

(  sqrt{(  frac{ds}{dx})^2 + (  frac{dy}{dx})^2} = 1  )

1.	For the cartesian curve y=f(x) with s as arc length which of the following condition holds good?
A.	( frac{ds}{dx} = sqrt{1+( frac{dy}{dx})^2} )
B.	( frac{d^2s}{dx^2} = sqrt{1-( frac{dy}{dx})^2} )
C.	( frac{dy}{dx} = sqrt{1+( frac{ds}{dx})^2} )
D.	( sqrt{( frac{ds}{dx})^2 + ( frac{dy}{dx})^2} = 1 )
Answer» B. ( frac{d^2s}{dx^2} = sqrt{1-( frac{dy}{dx})^2} )

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