Answer the following question.

Answer: 1 a. 3 1b. 7 1c. e- - el - 2 = 2.17 2a. 2 2b. 32/3 4.32/3 5.8/15 6.256/15HIS CHAPTER 4: TRIPLE INTEGRAL TUTORIAL 4 4.1 CARTESIAN COORDINATES 1. Sketch the solid bounded by x + 2y + 3z = 6,x = 0,y = 0,z = 0 and express [I f(x. y. z)dV as iterated integrals in six different ways 2. Evaluate the triple integrals a. fo fo fo y dz dy dx b. J SF yz dxdz dy c. ffy ex dx dy dz 3. Use triple integrals to find the volume of the solids bounded by the given surfaces a. x = 0, y = 0,z = 0,3x + 6y+z =6 b. y =2 - z', y = z',x+z =4,x =0 4. Sketch the solid whose volume is given by the iterated integrals a Lalax lodz dy dx b. MISSd dz dy dx 5. Evaluate the triple integrals when (), z dV where G is the tetrahedron in the first octant bounded by x + y + z =4 6. Evaluate the triple integrals when JI, z2 dV where G is the solid bounded by x=1 -z', x = 0,y = 0 andy = 2 7. Use triple integral to find the volume of solid bounded by z = 0,z = x and x = 4-yz