Determine convergence or divergence of the series.
A. Converges
B. Diverges
Answer: A
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Solve the problem.Find the center of mass of a tetrahedron of density bounded by the coordinate planes and the plane
.
A. =
,
=
,
=
B. =
,
=
,
=
C. =
,
=
,
=
D. =
,
=
,
=
Solve the problem.The spherical coordinates of a point are . Find the Cartesian coordinates.
A. (-3, 0, 0)
B.
C. (0, 0, -3)
D. (0, 3, 0)
Multiply. Assume that all variables represent nonnegative real numbers.
A. 3 - 4
B. 3 + 11
+ 4
C. 3 - 11
+ 4
D. 3 + 11
- 4
Solve the problem.Two bank loans, one for $6000 and the other for $8000, cost a total of $995 in interest for one year. The loan has an interest rate 2% higher than the interest rate for the $8000 loan. Find the interest rate for each loan.
A. 7.5% for $6000 loan; 5.5% for $8000 loan B. 8.75% for $6000 loan; 6.75% for $8000 loan C. 7.75% for $6000 loan; 5.75% for $8000 loan D. 8.25% for $6000 loan; 6.25% for $8000 loan