Evaluate the improper integral or state that it is divergent.
A. 
ln 5
B. 
ln 4
C. 4 ln 5
D. - 
ln 5
Answer: A
Mathematics
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Find the average value of 
over the given region.
over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 
B. 
C. 243
D. 
Mathematics
Determine if the given ordered triple is a solution of the system.(1, -3, 3)2x + 4y + z = -54x - 3y - z = 204x + y + 3z = 12
A. not a solution B. solution
Mathematics
Perform the indicated operation and, if possible, simplify.
- 
A. 
B. 
C. 
D. 
Mathematics
Find (i) the amplitude, (ii) the period, and (iii) the phase shift.y = - 
sin(4x + 3?)
A.
(i)  | (ii)  | (iii) -  |
B.
(i)  | (ii) 4 | (iii) -  |
C.
| (i) 2 | (ii)  | (iii) 3? |
D.
(i) -  | (ii) 4 | (iii) -  |
Mathematics