Determine if the vector p is in Span S or aff S.Let v1 = 
, v2 = 
, v3 = 
, p = 
, and S = {v1, v2, v3}. It can be shown that S is linearly independent.
A. p ? span S and p ? aff S
B. p ? span S and p ? aff S
C. p ? span S and p ? aff S
D. p ? span S and p ? aff S
Answer: C
Mathematics
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Solve the equation.7x = 
A. 
B. {8}
C. ?
D. {-8, 8}
Mathematics
Evaluate the work done between point 1 and point 2 for the conservative field F.F = 4xe2x2-4y2-6z2i - 8ye2x2-4y2-6z2j - 12ze2x2-4y2-6z2k ; P1(0, 0, 0) , P2(1, 1, 1)
A. W = e2 + e-4 + e-6 - 1 B. W = e-8 - 1 C. W = 0 D. W = e-8
Mathematics
Find the vertices and the foci of the given ellipse.
+ 
= 1
A. V: (-36, 0), (36, 0)
F: (-6, 0) and (6, 0)
B. V: (-6, 0), (6, 0);
F:(- 3
, 0), (3
, 0)
C. V: (0, -6), (0, 6);
F: (0, - 3
), (0, 3
)
D. V: (0, -9), (0, 9);
F: (0, -3) and (0, 3)
Mathematics
Evaluate the exponential expression.105 ? 80
A. 600,000 B. 80,000 C. 8,000,000 D. 60,000,000
Mathematics