Find the distance between points P1 and P2. P1(6, 3, -7) and P2(11, 7, -4)

A. 50
B. 5;
C. 10
D. 25

Answer: B

Mathematics

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Use Gauss's Divergence Theorem to calculate .F(x, y, z) = 4x3i + 4y3j + 4z3k; S: the thick sphere 25 ? x2 + y2 + z2 ? 36

A. ?
B. 1092?
C. ?
D. 223,248?

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Mathematics

Write the logarithmic equation in its equivalent exponential form.log4  = -3

A. 4-3 =  
B. 34 =  
C. 3 = 4
D. 464 = 3

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Mathematics

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola. -  = 1

A. center at (0, 0)
transverse axis is x-axis
vertices at (-7, 0) and (7, 0)  
foci at (-11, 0) and (11, 0)
asymptotes of y = -  and y = 
B. center at (0, 0)
transverse axis is y-axis
vertices at (0, -7) and (0, 7)  
foci at (- , 0) and (, 0)
asymptotes of y = -  and y = 
C. center at (0, 0)
transverse axis is x-axis
vertices at (-7, 0) and (7, 0)  
foci at (- , 0) and (, 0)
asymptotes of y = -  and y = 
D. center at (0, 0)
transverse axis is x-axis
vertices at (-11, 0) and (11, 0)  
foci at (- , 0) and (, 0)
asymptotes of y = -  and y = 

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Mathematics

Express as a single logarithm and, if possible, simplify.log a  - log a 

A. log a 
B. log a 
C. log a 
D. log a 

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Mathematics