Q1:
Evaluate the triple integral .
Q2:
Evaluate the triple integral .
Q3:
Find the center of mass of the solid with the given density function .
Q4:
Evaluate the triple integral .
Q5:
Find the volume of the solid bounded by the three coordinate planes and the plane .
Q6:
Find the volume inside the cone , where .
Q7:
Find the center of mass of the solid with the given density function .
Q8:
Evaluate the triple integral .
Q9:
Evaluate the triple integral .
Q10:
Evaluate the triple integral .
Q11:
Find the center of mass of the solid with the given density function .
Q12:
Find the volume inside the cone , where .
Q13:
Find the volume inside the elliptic cylinder , where .
Q14:
Find, in terms of , the volume of the region that lies within both the sphere with equation and the cylinder with equation .
Q15:
Find the volume inside both the sphere and the cone .
Q16:
Find the center of mass of the solid with the given density function .
Q17:
Let , , and be real numbers selected randomly from the interval . What is the probability that the equation has at least one real solution for ? Rounding the value to four decimal places.
Q18:
Evaluate the triple integral .
Q19:
Find the center of mass of the solid with the given density function .
Q20:
Evaluate the triple integral .