Reference no: EM132510436

Question 1:

Use a triple integral to find the volume of the solid enclosed by the cylinder y - z² and tne planes z - 0 and y- z³. If this volume V is given by V - s/ dV = /% d-dyds then the I mits a, §, y, b, and 7/ are given respectively by;

Select one:
a. -3^.5,3a.5,x^2, 3, 0, and 3-y.
b. -3, 3, 3, x^2, 0, and y.
c. 0, 3,0, 3, 3, and 3 y.
d. 0, 3, 0, x^2, 0, and 3-y.
e. -9, 9, 0, 3, 0, and 3.
f. I don t know tne answer.

Question 2:

Evaluate J/ 5z dV where E is the the portion of the unit ball z' + y² z² 1 that lies in the first octant. Select one:
a. 5n/2.
o. 5n/8.
c. 5n/J 6.
d. 5n.
e. 5n/4.
f. I don t know tne answer.

Question 3:

Convert the triple integral to spherical coordinates:

If this integral in spherical coordinates is given by p' sin 6 co8 ilp dpd8dg tnen the limits a, ,0, y, b, and r/ are given
respectively by:

Select one:
a. 0, n, 0, 2s, 0, and 6.
b. I don t know the answer.
c. 0, n, 0, n, 0, and 6.
d. 0, 2n, 0, 2n, 0, and 6.
e. 0, n, 0, 2n, 0, and 36.
f. 0, 2n, 0, 2n, 0, and 36.

Question 4:

Evaluate /// 480a* dVwhere '' s the solid tetrahedron with vertices (0,0,0), (1,0, 0), (0 1, 0), and (0 0,

Select one:
a. 8. b. 46. c.56.
d. I don t know the answer.
e.24

Question 5:

Evauate the iterated integral / 1 0 " g" " 2ze ^ dfidzdz.

Select one:
a. 14/3.
b. 8i3.
c. 18/3.
d. I don t know the answer.

e. 4/3.

f. 10/3.