MTH301 Calculus II Quiz No 03 Spring 2013

Question # 8 of 8 ( Start time: 08:30:38 PM )

For which of the following values of “x”, the partial derivative of “z=2/y(x-1)” exists? Select correct option:

  1. R
  2. R-{1}
  3. R-{0}
  4. R-{1,0}


 

Question # 7 of 8 ( Start time: 08:30:20 PM )

If the partial derivative (w.r.t ‘x’ or ‘y’) at any point on the surface: “z=f(x,y)” is zero, then tangent plane at that point will be——–to XY-plane.

 

Select correct option:

 

  1. Parallel
  2. Perpendicular

 

Question # 6 of 8 ( Start time: 08:26:58 PM )

If “y=Sinx” and “x=e^t” , then by Chain rule, (dy/dt) = ——–.

 

Select correct option:

  1. xSin(e^t)
  2. xCos(e^t)
  3. Sin(e^t)
  4. Cos(e^t)

 

Question # 5 of 8 ( Start time: 08:26:20 PM )

For which of the following values of “y”, the partial derivative of “z=2/y(x-1)” exists?

Select correct option:

  1. R
  2. R-{1}
  3. R-{0}
  4. R-{1,0}

 

Question # 4 of 8 ( Start time: 08:23:37 PM )

If “y=f(x)” and “x=g(t)” , then by Chain rule, (dy/dt) =———.

Select correct option:

  1. (dy/dx)+(dx/dt)
  2. (dy/dx)-(dx/dt)
  3. (dy/dx).(dx/dt)
  4. (dy/dx)/(dx/dt)

 

Question # 3 of 8 ( Start time: 08:22:46 PM )

If “y=x+t”, “x=e^u” and “t=Sinu”, then by Chain’s rule, (dy/du) = ———.

 

Select correct option:

  1. e^u +Cosu
  2. e^u -Cosu
  3. -e^u +Cosu
  4. -e^u–Cosu

Question # 2 of 8 ( Start time: 08:21:53 PM )

If the partial derivative (w.r.t ‘x’ or ‘y’) at any point on the surface: “z=f(x,y)” is Infinity, then tangent plane at that point will be——–to XY-plane.

Select correct option:

 

  1. Parallel

 

  1. Perpendicular

 

Question # 1 of 8 ( Start time: 08:21:09 PM )

If “y=Sint” and “t=e^(xu)” then which of the following is partial derivative of ‘y’ w.r.t ‘u’?

Select correct option:

  1. utCost
  2. -utCost
  3. -xtCost
  4. xtCost
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