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Worksheet: Triple Integrals
Q1:
Evaluate the triple integral .
Q2:
Evaluate the triple integral .
- A1
- B
- C
- D
- E
Q3:
Find the center of mass of the solid with the given density function .
- A
- B
- C
- D
- E
Q4:
Evaluate the triple integral .
- A
- B
- C
- D
- E
Q5:
Find the volume of the solid bounded by the three coordinate planes and the plane .
Q6:
Find the volume inside the cone , where .
- A
- B
- C
- D
- E
Q7:
Find the center of mass of the solid with the given density function .
- A
- B
- C
- D
- E
Q8:
Evaluate the triple integral .
- A1
- B
- C
- D
- E
Q9:
Evaluate the triple integral .
- A
- B
- C
- D
- E
Q10:
Evaluate the triple integral .
Q11:
Find the center of mass of the solid with the given density function .
- A
- B
- C
- D
- E
Q12:
Find the volume inside the cone , where .
- A
- B
- C
- D
- E
Q13:
Find the volume inside the elliptic cylinder , where .
- A
- B
- C
- D
- E
Q14:
Find, in terms of , the volume of the region that lies within both the sphere with equation and the cylinder with equation .
- A
- B
- C
- D
- E
Q15:
Find the volume inside both the sphere and the cone .
- A
- B
- C
- D
- E
Q16:
Find the center of mass of the solid with the given density function .
- A
- B
- C
- D
- E
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 .
- A
- B
- C
- D
- E
Q19:
Find the center of mass of the solid with the given density function .
- A
- B
- C
- D
- E
Q20:
Evaluate the triple integral .
- A
- B
- C
- D
- E