In Exercises 49–52, use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region. 49. F(x, y, z) = x?y²z__over the solid cylinder bounded by x² +...


In Exercises 49–52, use a CAS integration utility to evaluate the triple<br>integral of the given function over the specified solid region.<br>49. F(x, y, z) = x?y²z__over the solid cylinder bounded by<br>x² + y? = 1 and the planes z = 0 and z = 1<br>50. F(x, y, z) = |xyz over the solid bounded below by the parabo-<br>loid z = x² + y² and above by the plane z = 1<br>(x² + v² + ?)³/2 Over the solid bounded below by<br>Vx² + y² and above by the plane z = 1<br>51. F(x, y, z) =<br>the cone z =<br>52. F(x, y, z) = x* + y² + z? over the solid sphere x2 + y² +<br>z? < 1<br>

Extracted text: In Exercises 49–52, use a CAS integration utility to evaluate the triple integral of the given function over the specified solid region. 49. F(x, y, z) = x?y²z__over the solid cylinder bounded by x² + y? = 1 and the planes z = 0 and z = 1 50. F(x, y, z) = |xyz over the solid bounded below by the parabo- loid z = x² + y² and above by the plane z = 1 (x² + v² + ?)³/2 Over the solid bounded below by Vx² + y² and above by the plane z = 1 51. F(x, y, z) = the cone z = 52. F(x, y, z) = x* + y² + z? over the solid sphere x2 + y² + z? <>

Jun 04, 2022
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