From the list below find the expression equivalent to
?
?
A. 
B. 
?
C. 
D. 
E. 
Answer: B
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Find the magnitude of u × v and the unit vector parallel to u × v in the direction of u × v.u = -4i - 4j + 4k, v = 8i + 8j - 8k
A. 0; 4i+ 4j - 4k
B. 12; 
(4i + 4j - 4k)
C. 4
; 
(4i + 4j - 4k)
D. 0; no direction
Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.5 + 30 + 180 + ... + 5 ? 6n-1 + ...
A. 
; 
B. 
; series diverges
C. 
; 1
D. 
; series diverges
Match the system of inequalities with one of the graphs.x2 + y2 < 4 y ? 1
A. 
B. 
C. 
D. 
Solve the problem.In 1993-1994, a total of 1059 doctoral degrees were awarded in the mathematical sciences. Out of the 
who received such degrees, 345 were United States citizens. The number of women recipients who were not United States citizens was 104. How many women among the United States citizens received doctoral degrees?
Fill in the blank(s) with the appropriate word(s).