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If u = x^(2) + y^(2) " and " x = s + 3t...

If ` u = x^(2) + y^(2) " and " x = s + 3t, y = 2s - t , " then " (d^(2) u)/(ds^(2))` is equal to

A

12

B

32

C

36

D

10

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If x=phi(t),y=Psi(t)," then "(d^(2)y)/(dx^(2)) is equal to

    A
    `(phi'Psi''-Psi'phi'')/((phi)^(2))`
    B
    `(phi'Psi''-Psi'phi'')/((phi')^(3))`
    C
    `(phi'')/(Psi'')`
    D
    `(Psi'')/(phi'')`

  • If x = t^(2) and y = t^(3) , then (d^(2)y)/(dx^(2)) is equal to

    A
    `3/2`
    B
    `3/(4t)`
    C
    `3/(2t)`
    D
    `(3)/(2t)`

  • If x = t^(2) and y = t^(3) , then (d^(2)y)/(dx^(2)) is equal to

    A
    `3/2`
    B
    `3/(4t)`
    C
    `3/(2t)`
    D
    `(3)/(5t)`

    • Similar Questions

    Explore conceptually related problems

    If x= t +(1)/(t) , y =t -(1)/(t) then (d^2 y)/(dx^2) is equal to

    if x=t +(1)/(t) , y-(1)/(t) , then (d^2 y)/( dx^2) is equal to

    If x=e^t sin t,y=e^t cost , then (d^2y)/(dx^2) at x=pi is equal to

    Let y=t^(10)+1 and x=t^8+1 , then (d^2y)/(dx^2) is equal to :

    If x=cos(2t)and y=sin^(2)t , then what is (d^(2)y)/(dx^(2)) equal to?

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