Use a CAS Integration Utility to Evaluate the Triple Integral $F ( x , y , z ) = x ^ { 2 } y ^ { 4 } z ^ { 2 }$

question 204

Multiple Choice

Use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region.
- $F ( x , y , z ) = x ^ { 2 } y ^ { 4 } z ^ { 2 }$ over the cylinder bounded by $x ^ { 2 } + y ^ { 2 } \leq 49$ and the planes $z = - 7 , z = 10$

• A) \(\frac { 7,742,127,743 } { 236 } \pi\)
• B) \(\frac { 7,742,127,743 } { 192 } \pi\)
• C) \(\frac { 7,742,127,743 } { 208 } \pi\)
• D) \(\frac { 158,002,607 } { 4 } \pi\)

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