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Calculate Dz, Where M Is the Surface Given \le

Question 61

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Calculate  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    dx Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    dz, where M is the surface given by z =  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    , 0 \le z \le 1, using the following parametrizations: (i) (x, y, z) = p(  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    ,  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    ) = (  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    cos(  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    ) ,  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    sin(  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    )  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    )
(ii) (x, y, z) = p(  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    ,  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    ) = (  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    ,  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    ,  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    )


A) (i)  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    (ii) -  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)
B) (i)  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    (ii) 0
C) (i)  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    (ii) -  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)
D) (i) 6 π\pi (ii) -  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)
E) (i) -  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)    (ii)  Calculate   dx  dz, where M is the surface given by z =   , 0  \le  z  \le  1, using the following parametrizations: (i)  (x, y, z)  = p(   ,   )  = (   cos(   ) ,   sin(   )    )  (ii)  (x, y, z)  = p(   ,   ) = (   ,   ,   )  A)  (i)    (ii)  -   B)  (i)    (ii)  0 C)  (i)    (ii)  -   D)  (i)  6 \pi  (ii)  -   E)  (i)  -   (ii)

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